| | (3-0-3) (Lec-Lab-Credit Hours)
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics.
Prerequisites:
PEP 242 Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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|
| | (3-0-3) (Lec-Lab-Credit Hours)
The goal of the course is to introduce students to t
he fundamentals, instrumentation, and applications of common analytical tools for surface and nanostructure characterization. The students will acquire the knowledge necessary for the selection of most suitable techniques and for the interpretation of the resultant information relevant to surface science and nanotechnology. Techniques covered include: SEM, TEM, EELS, BET, XPS, Auger, AT-FTIR, SERS, and AFM.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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|
| (3-0-3) (Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
Prerequisites:
PEP 532 PEP 538 Introduction to Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
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Introduction to Quantum Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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| | (3-0-3) (Lec-Lab-Credit Hours)
Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Ty
pical text: Reif, Statistical and T
hermal Physics. Fall semester.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Principles of environmental reactions with emphasis on aquatic chemistry; reaction and phase equilibria; acid-base and carbonate systems; oxidation-reduction; colloids; organic contaminants classes, sources, and fates; groundwater chemistry; and atmospheric chemistry.
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|
| | (3-0-3) (Lec-Lab-Credit Hours)
A study of the chemical and physical operation involved in treatment of potable water, industrial process water, and wastewater effluent; topics include chemical precipitation, coagulation, flocculation, sedimentation, filtration, disinfection, ion exchange, oxidation, adsorption, flotation, and membrane pr
ocesses. A physical-chemical treatment plant design project is an integral part of the course. The approach of unit operations and unit processes is stressed.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Deals with aspects of the technology of processing procedures involved in the fabrication of microelectronic devices and microelectromechanical systems (MEMS). Students will become familiar with various fabrication techniques used for discrete devices as well as large-scale integrated thin-film circuits. Students will also learn that MEMS are sensors and actuators that are designed using different areas of engineering disciplines and they are constructed using a microlithographically-based manufacturing process in conjunction with both semiconductor and micromachining microfabrication technologies
Prerequisites:
PEP 507 Introduction to Microelectronics and Photonics
(3-0-3)(Lec-Lab-Credit Hours)
An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course deals with the fundamentals and applications of nanoscience and nanotechnology. Size-dependent phenomena, ways and means of designing and synthesizing nanostructures, and cutting-edging applications will be presented in an integrated and interdisciplinary manner.
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|
| | (3-0-3) (Lec-Lab-Credit Hours)
This course is an
introduction to the field of Tissue Engineering. It is rapidly emerging as a therapeutic approach to treating damaged or diseased tissues in the biotechnology industry. In essence, new and functional living tissue can be fabricated using living cells combined with a scaffolding material to guide tissue development. Such scaffolds can be synthetic, natural, or a combination of both. This course will cover the advances in the field of cell biology, molecular biology, material science, and their relationship towards developing novel ‘tissue engineered’ materials.
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| | (3-0-3) (Lec-Lab-Credit Hours)
The goal of this course is to learn the basic concepts commonly utilized in the processing of advanced materials with specific compositions and microstructures. Solid state diffusion mechanisms are described with emphasis on the role of point defects, the mobility of diffusing atoms, and their interactions. Macroscopic diffusion phenomena are analyzed by formulating partial differential equations and presenting their solutions. The relationships between processing and microstructure are developed on the basis of the rate of nucleation and growth processes that occur during condensation, solidification, and precipitation. Diffusionless phase transformations observed in certain metallic and ceramic materials are discussed.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course covers the environmental and health aspects of nanotechnology. It presents an overview of nanotechnology along with characterization and properties of nanomaterials. The course material covers the biotoxicity and ecotoxicity of nanomaterials. A sizable part of the course is devoted to discussions about the application of nanotechnology for environmental remediation along with discussions about fate and transport of nanomaterials. Special emphasis is given to risk assessment and risk management of nanomaterials, ethical and legal aspects of nanotechnology, and nano-industry and nano-entrepreneurship. Prerequisites: Freshman chemistry and a course in fluid mechanics
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course provides an overview and industrial perspectives regarding downstream separation in drug substance development and manufacturing. Basic principles and practical applications of unit operations most commonly employed in the pharmaceutical industry will be discussed, including extraction, absorption, membrane, distillation, crystallization, filtration, and drying. Examples will be discussed to illustrate the intrinsic relationship between process development, equipment selection, and scale-up success.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Lectures, demonstrations, and laboratory experiments, selected from among the following topics, depending on student interest: vacuum technology; thin-film preparation; scanning electron microscopy; infrared spectroscopy and ellipsometry; electron spectroscopy ; Auger, photoelectron, and LEED; ion spectroscopies; SIMS, IBS, and field emission; surface properties-area, roughness, and surface tension.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Upon completion of this course, students will be able to demonstrate an understanding of the major classes of engineering materials, their principal properties, and design requirements that serve as both the basis for materials selection, as well as for the ongoing development of new materials. This course is substantially differentiated from introductory materials courses by its very specific focus on materials whose use puts them in direct contact with physiological systems. Thus, the course begins with brief sections on inflammatory response, thrombosis, infection, and device failure. It then concentrates on developing the fundamental materials science and engineering concepts underlying the structure-property relationships in both synthetic and natural polymers, metals and alloys, and ceramics relevant to in vivo medical device technology.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course follows the introductory course and covers advanced topics in the design, modeling, and fabrication of micro and nano electromechanical systems. The materials will be broad and multidisciplinary including: review of micro and nano electromechanical systems, dimensional analysis and scaling, thermal, transport, fluids, microelectronics, feedback control, noise, and electromagnetism at the micro and nanoscales; the modeling of a variety of new MEMS/NEMS devices; and alternative approaches to the continuum mechanics theory. The goal will be achieved through a combination of lectures, case studies, individual homework assignments, and design projects carried out in teams.
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| | (3-0-3) (Lec-Lab-Credit Hours)
The course covers recent advances in macromolecular science, including polyelectrolytes and water-soluble polymers, synthetic and biological macromolecules at surfaces, self-assembly of synthetic and biological macromolecules, and polymers for biomedical applications.
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| | | (3-0-3) (Lec-Lab-Credit Hours)
Topics at the interface of polymer chemistry and biomedical sciences, focusing on areas where polymers have made a particularly strong contribution, such as in biomedical sciences and pharmaceuticals . Synthesis and properties of biopolymers; biomaterials; nanotechnology smart polymers; functional applications in bio
technology, tissue and cell engineering; and biosen
sors and drug delivery.
Prerequisites:
CH 244
(3-0-3)(Lec-Lab-Credit Hours)
Continuation of CH 243; reactions of aromatic compounds; infrared and nuclear magnetic resonance spectroscopy.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course will provide a comprehensive introduction to the rapidly developing field of nanomedicine and discuss the application of nanoscience and nanotechnology in medicine such as, in diagnosis, imaging and therapy, surgery, and drug delivery.
Prerequisites:
NANO 600
(3-0-3)(Lec-Lab-Credit Hours)
This course deals with the fundamentals and applications of nanoscience and nanotechnology. Size-dependent phenomena, ways and means of designing and synthesizing nanostructures, and cutting-edging applications will be presented in an integrated and interdisciplinary manner.
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| | (3-0-3) (Lec-Lab-Credit Hours)
A survey course covering the chemical, biological and material science aspects of interfacial phenomena. Applications to adhesion, biomembranes, colloidal stability, detergency, lubrication, coatings, fibers and powders - where surface properties play an important role.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Under development.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course describes the application of nano- and micro-fabrication methods to build tools for exploring the mysteries of biological systems. It is a graduate-level course that will cover the basics of biology and the principles and practice of nano- and microfabrication techniques, with a focus on applications in biomedical and biological research.
Prerequisites:
NANO 600
(3-0-3)(Lec-Lab-Credit Hours)
This course deals with the fundamentals and applications of nanoscience and nanotechnology. Size-dependent phenomena, ways and means of designing and synthesizing nanostructures, and cutting-edging applications will be presented in an integrated and interdisciplinary manner.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This advanced course covers the mechanism and biological role of signal transduction in mammalian cells. Topics included are extracellular regulatory signals, intracellular signal transduction pathways, role of tissue context in the function of cellular regulation, and examples of biological processes controlled by specific cellular signal transduction pathways.
Prerequisites:
CH 381
(3-3-4)(Lec-Lab-Credit Hours)
The structure and function of the cell and its subcellular organelles is studied. Biological macromolecules, enzymes, biomembranes, biological transport, bioenergetics, DNA replication, protein synthesis and secretion, motility, and cancer are covered. Cell biology experiments and interactive computer simulation exercises are conducted in the laboratory.
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(3-3-4)(Lec-Lab-Credit Hours)
Introduction to the study of molecular basis of inheritance. Starts with c
l
assical Mendelian genetics and proceeds to the study and function of DNA, gene expression and regulation in prokaryotes and eukaryotes, genome dynamics and the role of genes in development, and cancer. All topics include discussions of current research advances. Accompanied by laboratory section that explores the lecture topics in standard wet laboratory experiments and in computer simulations.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is intended to introduce the concept of electronic energy band engineering for device applications. Topics to be covered are electronic energy bands, optical properties, electrical transport properties of multiple quantum wells, superlattices, quantum wires, and quantum dots; mesoscopic systems, applications of such structures in various solid state devices, such as high electron mobility, resonant tunneling diodes, and other negative differential conductance devices, double-heterojunction injection lasers, superlattice-based infrared detectors, electron-wave devices (wave guides, couplers, switching devices), and other novel concepts and ideas made possible by nano-fabrication technology. Fall semester. Typical text: M. Jaros, Physics and Applications of Semiconductor Microstructures; G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures.
Prerequisites:
PEP 503
(3-0-3)(Lec-Lab-Credit Hours)
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics.
Close |
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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|
| | (3-0-3) (Lec-Lab-Credit Hours)
This course deals with the principles of light interactions with biological and biomedical-relevant systems. The enabling aspects of nanotechnology for advanced biosensing, medical diagnosis, and therapeutic treatment will be discussed.
Prerequisites:
NANO 600
(3-0-3)(Lec-Lab-Credit Hours)
This course deals with the fundamentals and applications of nanoscience and nanotechnology. Size-dependent phenomena, ways and means of designing and synthesizing nanostructures, and cutting-edging applications will be presented in an integrated and interdisciplinary manner.
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tr>No data available
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| | (3-0-3) (Lec-Lab-Credit Hours)
This graduate course will introduce the applications of multiscale theory and computational techniques in the fields of materials and mechanics. Students will obtain fundamental knowledge on homogenization and heterogeneous materials, and be exposed to various sequential and concurrent multiscale techniques. The first half of the course will be focused on the homogenization theory and its applications in heterogeneous materials. In the second half multiscale computational techniques will be addressed through multiscale finite element methods and atomistic/continuum computing. Students are expected to develop their own course projects based on their research interests and the relevant topics learned from the course.
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| (3-0-3) (Lec-Lab-Credit Hours)
Progress in the technology of nanostructure growth; space and time scales; quantum confined systems; quantum wells, coupled wells, and superlattices; quantum wires and quantum dots; electronic states; magnetic field effects; electron-phonon interaction; and quantum transport in nanostructures: Kubo formalism and Butikker-Landau formalism; spectroscopy of quantum dots; Coulomb blockade, coupled dots, and artificial molecules; weal localization; universal conductance fluctuations; phase-breaking time; theory of open quantum systems: fluctuation-dissipation theorem; and applications to quantum transport in nanostructures.
Prerequisites:
PEP 554
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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(3-0-3)(Lec-Lab-Credit Hours)
Crystal symmetry. Space-group-theory analysis of normal modes of lattice vibration, phonon dispersion relations, and Raman and infrared activity. Crystal field splitting of ion energy level and transition selection rules. Bloch theorem and calculation of electronic energy bands through tight binding and pseudopotential methods for metals and semiconductors and Fermi surfaces. Transport theory, electrical conduction, thermal properties, cyclotron resonance, de Haas van Alfen, and Hall effects. Dia-, para-, and ferro-magnetism and magnon spinwaves. Spring semester. Typical texts: Callaway, Quantum Theory of Solid State; Ashcroft and Mermin, Solid State Physics; and Kittel, Quantum Theory of Solids.
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| Physics & Engineering Physics |
| | (3-0-3) (Lec-Lab-Credit Hours)
A review course in the fundamentals of physics, especially in mechanics and electromagnetism; dynamics of a particle; systems of particles and their conservation laws; motion of a rigid body; electrostatics, magnetic fields, and currents; and electromagnetic induction.. Prerequisites: introductory mechanics and electromagnetism courses which employ calculus and vector analysis. Typical text: Halliday, Resnick, and Walker, Fundamentals of Physics. No credit for Physics or Engineering Physics majors.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Electrolysis, Brownian motion; charge and mass of electrons and ions; Zeeman effect; photoelectric effect; reflection, refraction, diffraction, absorption, and scattering of X-rays; Compton effect; diffraction of electrons; uncertainty principle; electron optics; Bohr theory of atom; atomic spectra and electron distribution; radioactivity; disintegration of nuclei; nuclear processes; nuclear energy; and fission. No credit for Physics majors. Typical text: Weidner and lls, Elementary Modern Physics.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties o
f atomic nuclei; radioactiv
ity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics.
Prerequisites:
PEP 242 Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Theories of the universe, general relativity, Big Bang cosmology, and the inflationary universe; and elementary particle theory and nucl
eosynthesis in the early universe. Observational cosmology; galaxy formation and galactic structure; and stellar evolution and formation of the elements. White dwarfs, neutron stars and black holes, planetary systems, and the existence of life in the universe.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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|
| | (3-0-3) (Lec-Lab-Credit Hours)
The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semest
er.
Prerequisites:
PEP 542 Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
The course is designed to familiarize students with a range of optical instruments and their applications. Included will be the measurement of aberrations in optical systems, thin-film properties, Fourier transform imaging systems, nonlinear optics, and laser beam dynamics. Fall semester.
Prerequisites:
PEP 509 Intermediate Waves and Optics
(3-0-3)(Lec-Lab-Credit Hours)
The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Historical introduction; radioactivity; laws of statistics of radioactive decay; alpha decay; square well model; gamma decay; beta decay; beta energy spectrum; neutrinos; nuclear reactions; relativistic treatment; semiempirical mass formula; nuclear models; uranium and the transuranic elements; fission; and nuclear reactors.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Office); S.P.I.E Reprint Series (Selected Issues); W.J. Smith, Modern Optical Engineering .
Prerequisites:
PEP 209 Modern Optics
(3-0-3)(Lec-Lab-Credit Hours)
Concepts of geometrical optics for reflecting and refracting surfaces, thin and thick lens formulations, optical instruments in modern practice, interference, polarization and diffraction effects, resolving power of lenses and instruments, X-ray diffraction, introduction to lasers and coherent optics, principles of holography, concepts of optical fibers, optical signal processing. Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Office); S.P.I.E Reprint Series (Selected Issues); W.J. Smith, Modern Optical Engineering .
Prerequisites:
PEP 515 Photonics I
(3-0-3)(Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Of
fice); S.P.I.E Reprint Seri
es (Selected Issues); W.J. Smith, Modern Optical Engineering .
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| | (3-0-3) (Lec-Lab-Credit Hours)
Numerical techniques. Numerical methods for integrating Newton’s laws, the diffusion equation, Poisson’s equation, and the wave equation are discussed. Topics also covered: discrete Fourier transform, stability theory,curve fitting , the diagonalization of matrices, and Monte Carlo methods. Spring semester. Typical text: Garcia, Computational Physics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
A phenomenological and theoretical introduction to the field of surface science, including experimental techniques and engineering applications. Topics will include: thermodynamics and structure of surfaces, surface diffusion, electronic properties and space-charge effects, physisorption, and chemisorption. Spring semester. Alternate years.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Lectures, demonstrations, and laboratory experiments, selected from among the following topics, depending on student interest: vacuum technology; thin-film preparation; scanning electron microscopy; infrared spectroscopy and ellipsometry; electron spectroscopy; Auger, photoelectron, and LEED; ion spectroscopies; SIMS, IBS, and field emission; surface properties-area, roughness, and surface tension. Alternate years.
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| (3-0-3)<
p>(Lec-Lab-Credit Hours)
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials; applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation); introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations; orthogonal curvilinear coordinates (general, also spherical and cylindrical); n-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation; tensors and pseudotensors in n-dimensions; similarity transformations and diagonalization of hermitian and unitary matrices, eigenvectors, and eigenvalues of hermitian and unitary matrices, and Schmidt orthogonalization; applications to coupled oscillators, rigid body dynamics, etc.; linear independence and completeness; and functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Prerequisites: four semesters and undergraduate math courses.
Prerequisites:
MA 227 Multivariate Calculus
(3-0-3)(Lec-Lab-Credit Hours)
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes. Engineering curriculum requirement.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Introduction to Hilbert space, function vectors, completeness in the strong and weak senses, expansion in complete orthonormal sets of functions, and Schmidt orthgonalization. The Weierstrass theorem and completeness of eigenfunctions of a hermitian operator; dirac/dyadic notation. Legendre polynomials, spherical harmonics, Fourier series and integral, Laplace transform, and multipole expansion. Ordinary differential equations, and ordinary point and iteration series solution and power series method, Hermite equation, Schrödinger equation for harmonic oscillator. Regular singular point and the method of Frobenius, including the second solution, and Bessel equation. Sturm-Liouville systems and weighted complete orthonormal sets of eigenfunctions, and
Green’s function determination and solution of the inhomogeneous problem. Partial differential equations, heat equation, wave equation, Poisson equation, solution by transform techniques, and Green’s function solution of inhomogeneous initial value and boundary value problems. Linear integral equations, iteration series solution, convergence, Kernels separable in several parts, Hilbert-Schmidt theory, Fredholm theory, and Volterra equation. Spring semester.
Prerequisites:
PEP 527 Mathematical Methods for Physics and Engineering I
(3-0-3)(Lec-Lab-Credit Hours)
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials; applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation); introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations; orthogonal curvilinear coordinates (general, also spherical and cylindrical); n-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation; tensors and pseudotensors in n-dimensions; similarity transformations and diagonalization of hermitian and unitary matrices, eigenvectors, and eigenvalues of hermitian and unitary matrices, and Schmidt orthogonalization; applications to coupled oscillators, rigid body dynamics, etc.; linear independence and completeness; and functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Prerequisites: four semesters and undergraduate math courses.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equa
tions; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Charged particle motions in electric and magnetic fields; electron and ion optics; charged particle velocity and mass spectrometry; electron and ion beam confinement; thermionic emission; the Pierce gun; field emission; secondary emission; photoelectric effect; sputtering; surface ionization; volume ionization; and Townsend discharge. Typical text: Beck and Ahmed, An Introduction to Physical Electronics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Charged particle motion in electric and magnetic fields; electron and ion emission; ion-surface interaction; electrical breakdown in gases; dark discharges and DC glow discharges; confined discharge; AC, RF, and microwave discharges; arc discharges, sparks, and corona discharges; non-thermal gas discharges at atmospheric pressure; and discharge and low-temperature plasma generation. Typical texts: J.R. Roth, Industrial Plasma Engineering: Principles, Vol. 1, and Y.P. Raizer, Gas Discharge Physics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Plasmas in nature and application of plasma physics; single particle motion; plasma fluid theory; waves in plasmas; diffusion and resistivity; equilibrium and stability; nonlinear effects and thermonuclear reactions; the Lawson condition; magnetic confinement fusion; and laser fusion. Fall semester. Typical text: F.Chen, Plasma Physics.
Prerequisites:
PEP 542 Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Basic plasma physics; some atomic processes; and plasma diagnostics. Plasma production; DC glow discharges and RF glow discharges; magnetron discharges. Plasma-surface interaction; sputter deposition of thin films; reactive ion etching, ion milling, and texturing; electron beam-assisted chemical vapor deposition; and ion implantation. Sputtering systems; ion sources; electron sources; and ion beam handling. Typical texts: Chapman, Glow Discharge Processes; Brodie, Muray, The Physics of Micro-fabrication. Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Description of principle flow phenomena: pipe and channel flows, laminar flow, transition, and turbulence; flow past an object-boundary layer, wake, separation, vortices, and drag; convection in horizontal layers-conduction, convection, and transition from periodic to chaotic behavior. Equations of motion; dynamical scaling; simple viscous flows; inviscid flow; boundary layers, drag, and lift; thermal flows; flow in rotating fluids; hydro-dynamic stability; and transitions to turbulence. Typical text: Tritton, Physical Fluid Dynamics.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)
(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
Prerequisites:
PEP 538 Introduction to Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
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Introduction to Quantum Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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| | (3-0-3) (Lec-Lab-Credit Hours)
Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Typical text: Reif, Statistical and Thermal Physics.Fall semester.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Interference phenomena in electromagnetism and quantum mechanics; interaction of light and matter, principles of coherent control; adaptive and optimal algorithms; Rabi flopping in two-level systems; control of three-level systems including STRIRAP and electromagnetically induced transparency; tools for quantum control; v
arious current and proposed applicat
ions.
Prerequisites:
PEP 553 Introduction to Quantum Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course introduces fundamentals of semiconductors and basic building blocks of semiconductor devices that are necessary for understanding semiconductor device operations. It is for first-year graduate students and upper-class undergraduate students in electrical engineering, applied physics, engineering physics, optical engineering and materials engineering, who have no previous exposure to solid state physics and semiconductor devices. Topics covered will include description of crystal structures and bonding; introduction to statistical description of electron gas; free-electron theory of metals; motion of electrons in periodic lattice-energy bands; Fermi levels; semiconductors and insulators; electrons and holes in semiconductors; impurity effects; generation and recombination; mobility and other electrical properties of semiconductors; thermal and optical properties; p-n junctions; metal-semiconductor contacts.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course introduces operating principles and develops models of modern semiconductor devices that are useful in the analysis and design of integrated circuits. Topics covered include: charge carrier transport in semiconductors; diffusion and drift, injection, and lifetime of carriers; p-n junction devices; bipolar junction transistors; metal-oxide-semiconductor field effect transistors; metal-semiconductor field effect transistors and high electron mobility transistors, microwave devices; light emitting diodes, semiconductor lasers, and photodetectors; and integrated devices.
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| | | (3-0-3) (Lec-Lab-Credit Hours)
Review of electromagnetic theory; derivation of Fresnels’ equations; guided-wave propagation by metallic and dielectric waveguides, including step-index optical fibers and graded-index fibers; optical transmission systems; and nonlinear effects in optical fibers, solitons, and fiber-optic gyroscope.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course treats scattering, absorption and emission of electromagnetic radiation in planetary media. The radiative transfer equation is derived, approximate solutions are found. Important heuristic models (Lorentz atom, two-level atom, vibrating rotator) as well as fundamental concepts are discussed including reflectance, absorptance, emittance, radiative warming/cooling rates, actinic radiation, photolysis and biological dose rates. A unified treatment of radiative transfer within the atmosphere and ocean is provided, and extensive use of two-stream and approximate methods is emphasized. Applications to the climate problem focus on the role of greenhouse gases, aerosols and clouds in explaining the temperature structure of the atmosphere and the equilibrium temperature of the earth. The course is suitable for beginning graduate and upper-level undergraduate students.
Prerequisites:
MA 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors
; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
An introductory course to the theory of lasers; treatment of spontaneous and stimulated emission, atomic rate equations, laser oscillation conditions, power output and optimum output coupling; CW and pulsed operation, Q switching, mode selection and frequency stabilization; excitation of lasers, inversion mechanisms and typical efficiencies; detailed examination of principal types of lasers: gaseous, solid state and liquid; high power chemical, dye lasers, TEA lasers, gas dynamic lasers. Design and operation of semiconductor DFB, quantum well, quantum dot; argon ion, helium neon, carbon dioxide, Nd:YAG, diode-pumped fiber lasers. Parametric frequency conversion.Textbook: Svelto, Principles of Lasers, Fourth Edition.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Integrated optics, nonlinear optics, Pockels effect, Kerr effect, harmonic generation, parametric devices, phase conjugate mirrors, and phase matching. Coherent and incoherent detection, Fourier optics, image processing and holography, and Gaussian optics. Detection of light, signal to noise, PIN and APD diodes, and optical communication. Scattering of light, Rayleigh, Mie, Brillouin, Raman, and Doppler shift scattering. Spring semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Electronic, magnetic, optical, and thermal properties of materials, the description of these properties based on solid state physics. Description and principles of operation of devices. Spring semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Physical design of wireless communication systems, emphasizing present and next-generation architectures; impact of non-linear components on performance; noise sources and effects; interference; optimization of receiver and transmitter architectures; individual components(LNAs, power amplifiers, mixers, filters, VCOs, phase-locked loops, frequency synthesizers, etc.); digital signal processing for adaptable architectures; analog-digital converters; new component technologies (SiGe, MEMS, etc.); specifications of component performance; reconfigurability and the role of digital signal processing in future generation architectures; direct conversion; RF packaging; and minimization of power dissipation in receivers.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Treatment of the electrical, chemical, environmental, and mechanical driving forces that compromise the integrity and lead to the failure of devices. Both chip and packaging level failures will be modeled and quantified statistically. On the packaging level, thermal stresses, solder creep, fatigue and fracture, contact relaxation, corrosion and environmental degradation will be treated. Additional topics include strategies to enhance reliability, the roles of defects, yield modeling, testing, and failure mode analysis.
Prerequisites:
PEP 507 Introduction to Microelectronics and Photonics
(3-0-3)(Lec-Lab-Credit Hours)
An overview of microelectro
nics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Discussions of aspects of the technology of processing procedures involved in the fabrication of microelectronic devices and microelectromechanical systems (MEMS). Topics with respect to IC fabrication include crystal growth, epitaxy, silicon oxide growth, impurity doping, ion implantation, photo and electron beam lithography, etching, sputtering, thin film metallization, passivation and packaging. Students will also learn that MEMS are sensors and actuators that are designed using different areas of engineering disciplines and they are constructed using a microlithographically-based manufacturing process in conjunction with both semiconductor and micromachining microfabrication technologies.
Prerequisites:
PEP 507 Introduction to Microelectronics and Photonics
(3-0-3)(Lec-Lab-Credit Hours)
An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Motion of charged particles in electromagnetic field; Boltzmann equation for plasma; properties of magnetoplasmas; and fundamentals of magnetohydrodynamics. Applications to include: mirror geometry, high frequency confinement, plasma confinement, and heating by means of magnetic fields; motion of plasmas along and across magnetic field lines; magnetohydrodynamic stability theory; plasma oscillations; microinstabilities waves in magnetoplasma; dispersion relations; Fokker-Planck equation for plasmas; plasma conductivity; runaway electrons; relaxation times; radiation phenomena in magnetoplasmas; stability theories; finite Larmor radius stabilization; minimum-B stability; and universal instabilities. Typical text: Schmidt, Physics of High Temperature Plasmas. Fall semester.
Prerequisites:
PEP 555
(3-0-3)(Lec-Lab-Credit Hours)
Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Typical text: Reif, Statistical and Thermal Physics.Fall semester.
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(3-0-3)(Lec-Lab-Credit Hours)
Lagrangian and Hamiltonian formulations of mechanics, rigid body motion, elasticity, mechanics of continuous media, small vibration theory, special relativity, canonical transformations, and perturbation theory. Typical text: Goldstein, Classical Mechanics.
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(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics, boundary value problems, Green’s function techniques, methods of image, inversion, and conformal mapping; multipole expansion. Magnetostatics, vector potential. Maxwell’s equations and conservation laws. Electromagnetic wave propagation in media. Crystal optics. Fall semester. Typical texts: Jackson, Classical Electrodynamics; Landau and Lifshitz, Electrodynamics in Continuous Media.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Motion of charged particles in electromagnetic field; Boltzmann equation for plasma; properties of magnetoplasmas; and fundamentals of magnetohydrodynamics. Applications to include: mirror geometry, high frequency confinement, plasma confinement, and heating by means of magnetic fields; motion of plasmas along and across magnetic field lines; magnetohydrodynamic stability theory; plasma oscillations; microinstabilities waves in magnetoplasma; dispersion relations; Fokker-Planck equation for plasmas; plasma conductivity; runaway electrons; relaxation times; radiation phenomena in magnetoplasmas; stability theories; finite Larmor radius stabilization; minimum-B stability; and universal instabilities. Typical text: Schmidt, Physics of High Temperature Plasmas. Spring semester.
Prerequisites:
PEP 607
(3-0-3
)<
/b>(Lec-Lab-Credit Hours)
Motion of charged particles in electromagnetic field; Boltzmann equation for plasma; properties of magnetoplasmas; and fundamentals of magnetohydrodynamics. Applications to include: mirror geometry, high frequency confinement, plasma confinement, and heating by means of magnetic fields; motion of plasmas along and across magnetic field lines; magnetohydrodynamic stability theory; plasma oscillations; microinstabilities waves in magnetoplasma; dispersion relations; Fokker-Planck equation for plasmas; plasma conductivity; runaway electrons; relaxation times; radiation phenomena in magnetoplasmas; stability theories; finite Larmor radius stabilization; minimum-B stability; and universal instabilities. Typical text: Schmidt, Physics of High Temperature Plasmas. Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
A continuation of PEP 510 for those students desiring a more thorough knowledge of optical systems. Included would be the use of an OTDR, ellipsometry, vacuum deposition of thin films, and other instrumentation. Students are encouraged to pursue their individual interests using the available equipment.
Prerequisites:
PEP 510
(3-0-3)(Lec-Lab-Credit Hours)
The course is designed to familiarize students with a range of optical instruments and their applications. Included will be the measurement of aberrations in optical systems, thin-film properties, Fourier transform imaging systems, nonlinear optics, and laser beam dynamics. Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Operating principle, modeling, and fabrication of solid state devices for modern optical and electronic system implementation; recent developments in solid state devices and integrated circuits; devices covered include bipolar and MOS diodes and transistors, MESFET, MOSFET transistors, tunnel, IMPATT and BARITT diodes, transferred electron devices, light emitting diodes, semiconductor injection and quantum-well lasers, PIN, and avalanche photodetectors.
Prerequisites:
EE 503
(0-0-3)(Lec-Lab-Credit Hours)
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structure, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators and semiconductors, superconductivity and ferromagnetism.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Theorems and postulates of quantum mechanics; operator relationships; solutions of the Schrödinger equation for model systems; variational and perturbation methods; pure spin states; Hartree-Fock self-consistent field theory; and applications to many-electron atoms and molecules. CH 520 is an alternative prerequisite.
Prerequisites:
PEP 554
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Topics covered include components for and design of optical communication systems; propagation of optical signals in single mode and multimode optical fibers; optical sources and photodetectors; optical modulators and multiplexers; optical communication systems: coherent modulators, optical fiber amplifiers and repeaters, transcontinental and transoceanic optical telecommunication system design; optical fiber local area networks.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Definition of dynamical systems; phase space and equilibrium states and their classification; nonlinear oscillator with and without dissipation; Van der Pol generator; Poincare map; slow and fast motion; forced nonlinear oscillator: linear and nonlinear resonances; forced generators: synchronization; Poincaré indices and bifurcations; solitons; shock waves; weak turbulence; regular patterns in dissipative media; and chaos: fractal dimension, and Lyapunov exponents. Typical textbooks: H.D.I. Abarbanel, M.I. Rabinovich, and M.M. Sushchik, Introduction to Nonlinear Dynamics for Physicists; R.H. Abraham and C.D. Shaw, Dynamics: The Geometry of Behavior.
Prerequisites:
PEP 528
(3-0-3)(Lec-Lab-Credit Hours)
Introduction to Hilbert space, function vectors, completeness in the strong and weak senses, expansion in complete orthonormal sets of functions, and Schmidt orthgonalization. The Weierstrass theorem and completeness of eigenfunctions of a hermitian operator; dirac/dyadic notation. Legendre polynomials, spherical harmonics, Fourier series and integral, Laplace transform, and multipole expansion. Ordinary differential equations, and ordinary point and iteration series solution and power series method, Hermite equation, Schrödinger equation for harmonic oscillator. Regular singular point and the method of Frobenius, including the second solution, and Bessel equation. Sturm-Liouville systems and weighted complete orthonormal sets of eigenfunctions, and Green’s function determination and solution of the inhomogeneous problem. Partial differential equations, heat equation, wave equation, Poisson equation, solution by transform techniques, and Green’s function solution of inhomogeneous initial value and boundary value problems. Linear integral equations, iteration series solution, convergence, Kernels separable in several parts, Hilbert-Schmidt theory, Fredholm theory, and Volterra equation. Spring semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Lagrangian and Hamiltonian formulations of mechanics, rigid body motion, elasticity, mechanics of continuous media, small vibration theory, special relativity, canonical transformations, and perturbation theory. Typical text: Goldstein, Classical Mechanics.
Prerequisites:
PEP 538
(3-0-3)(Lec-Lab-Credit Hours)
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and
three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Electrostatics, boundary value problems, Green’s function techniques, methods of image, inversion, and conformal mapping; multipole expansion. Magnetostatics, vector potential. Maxwell’s equations and conservation laws. Electromagnetic wave propagation in media. Crystal optics. Fall semester. Typical texts: Jackson, Classical Electrodynamics; Landau and Lifshitz, Electrodynamics in Continuous Media.
Prerequisites:
PEP 528
(3-0-3)(Lec-Lab-Credit Hours)
Introduction to Hilbert space, function vectors, completeness in the strong and weak senses, expansion in complete orthonormal sets of functions, and Schmidt orthgonalization. The Weierstrass theorem and completeness of eigenfunctions of a hermitian operator; dirac/dyadic notation. Legendre polynomials, spherical harmonics, Fourier series and integral, Laplace transform, and multipole expansion. Ordinary differential equations, and ordinary point and iteration series solution and power series method, Hermite equation, Schrödinger equation for harmonic oscillator. Regular singular point and the method of Frobenius, including the second solution, and Bessel equation. Sturm-Liouville systems and weighted complete orthonormal sets of eigenfunctions, and Green’s function determination and solution of the inhomogeneous problem. Partial differential equations, heat equation, wave equation, Poisson equation, solution by transform techniques, and Green’s function solution of inhomogeneous initial value and boundary value problems. Linear integral equations, iteration series solution, convergence, Kernels separable in several parts, Hilbert-Schmidt theory, Fredholm theory, and Volterra equation. Spring semester.
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(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Interaction of electromagnetic waves with matter, dispersion, waveguides and resonant cavities, radiating systems, scattering and diffraction, covariant electromagnetic theory, motion of relativistic particles in electromagnetic fields, relativistic radiation theory, radiation damping, and self-fields. Spring semester. Typical texts: Jackson, Classical Electrodynamics and Landau and Lifshitz, The Classical Theory of Fields, Electrodynamics in Continuous Media.
Prerequisites:
PEP 643
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics, boundary value problems, Green’s function techniques, methods of image, inversion, and conformal mapping; multipole expansion. Magnetostatics, vector potential. Maxwell’s equations and conservation laws. Electromagnetic wave propagation in media. Crystal optics. Fall semester. Typical texts: Jackson, Classical Electrodynamics; Landau and Lifshitz, Electrodynamics in Continuous Media.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is a continuation of PEP 554. Topics include: principles of quantum dynamics, time-dependent perturbation theory, scattering theory, the density matrix, quantization of the electromagnetic field, interaction of photons with atoms and non-relativistic particles, identical particles, and second quantization for many-body systems. Typical text: Quantum Mechanics by E. Merzbacher.
Prerequisites:
PEP 542
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Crystal symmetry. Space-group-theory analysis of normal modes of lattice vibration, phonon dispersion relations, and Raman and infrared activity. Crystal field splitting of ion energy level and transition selection rules. Bloch theorem and calculation of electronic energy bands through tight binding and pseudopotential methods for metals and semiconductors and Fermi surfaces. Transport theory, electrical conduction, thermal properties, cyclotron resonance, de Haas van Alfen, and Hall effects. Dia-, para-, and ferro-magnetism and magnon spinwaves. Fall semester. Typical texts: Callaway, Quantum Theory of Solid State; Ashcroft and Mermin, Solid State Physics; and Kittel, Quantum Theory of Solids.
Prerequisites:
PEP 544
(3-0-3)(Lec-Lab-Credit Hours)
Plasmas in nature and application of plasma physics; single particle motion; plasma fluid theory; waves in plasmas; diffusion and resistivity; equilibrium and stability; nonlinear effects and thermonuclear reactions; the Lawson condition; magnetic confinement fusion; and laser fusion. Fall semester. Typical text: F.Chen, Plasma Physics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Crystal symmetry. Space-group-theory analysis of normal modes of lattice vibration, phonon dispersion relations, and Raman and infrared activity. Crystal field spl
itting of ion energy level and transition selection rules. Bloch theorem and calculation of electronic energy bands through tight binding and pseudopotential methods for metals and semiconductors and Fermi surfaces. Transport theory, electrical conduction, thermal properties, cyclotron resonance, de Haas van Alfen, and Hall effects. Dia-, para-, and ferro-magnetism and magnon spinwaves. Spring semester. Typical texts: Callaway, Quantum Theory of Solid State; Ashcroft and Mermin, Solid State Physics; and Kittel, Quantum Theory of Solids.
Prerequisites:
PEP 661
(3-0-3)(Lec-Lab-Credit Hours)
Crystal symmetry. Space-group-theory analysis of normal modes of lattice vibration, phonon dispersion relations, and Raman and infrared activity. Crystal field splitting of ion energy level and transition selection rules. Bloch theorem and calculation of electronic energy bands through tight binding and pseudopotential methods for metals and semiconductors and Fermi surfaces. Transport theory, electrical conduction, thermal properties, cyclotron resonance, de Haas van Alfen, and Hall effects. Dia-, para-, and ferro-magnetism and magnon spinwaves. Fall semester. Typical texts: Callaway, Quantum Theory of Solid State; Ashcroft and Mermin, Solid State Physics; and Kittel, Quantum Theory of Solids.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Advanced transport theory, classical statistical mechanics, fluctuation theory, quantum statistical mechanics, ideal Bose and Fermi gases, imperfect gases, phase transitions, superfluids, Ising model critical phenomena, and renormalization group. Typical text: Huang, Statistical Mechanics.
Prerequisites:
PEP 555
(3-0-3)(Lec-Lab-Credit Hours)
Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Typical text: Reif, Statistical and Thermal Physics.Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course explains the physics behind modern optical communication systems at high data rates. The first half of this course covers information theory and light propagation over fiber optic waveguide channels; semiconductor laser sources and detectors; high speed digital optic links; and dense wavelength division multiplexing methods and devices. The second half of this course covers quantum optical information theory; coherent systems and quantum correlations; optical solition-based communication; squeezed light and noise limitations; de-phasing and de-coherence; teleportation and secure communication system protocols; and cryptography and chaotic optics.
Prerequisites:
PEP 553
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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| | (3-0-3) (Lec-Lab-Credit Hours)
Abbe diffraction theory of image formation, spatial filtering, coherence lengths, and areas. Holograms; speckle photography; impulse response function; CTF, OTF, and MTF of lens system; and coherent and incoherent optical signal processing. Spring semester. Typical text: Goodman, Introduction to Fourier Optics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course explores the quantum mechanical aspects of the theory of electromagnetic radiation and its interaction with matter. Topics covered include Einstein’s theory of emission and absorption, Planck’s law, quantum theory of light-matter interaction, classical fluctuation theory, quantized radiation field, photon quantum statistics, squeezing, and nonlinear interactions. Offered in alternate years. Typical text: Loudon, Quantum Theory of Light.
Prerequisites:
PEP 509
(3-0-3)(Lec-Lab-Credit Hours)
The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester.
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(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Introduction to the principles and design techniques of very large scale integrated circuits (VLSI). Topics include: MOS transistor characteristics, DC analysis, resistance, capacitance models, transient analysis, propagation delay, power dissipation, CMOS logic design, transistor sizing, layout methodologies, clocking schemes, case studies. Students will use VLSI CAD tools for layout, and simulation.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is intended to introduce the concept of electronic energy band engineering for device applications. Topics to be covered are electronic energy bands, optical properties, electrical transport properties of multiple quantum wells, superlattices, quantum wires, and quantum dots; mesoscopic systems, applications of such structures in various solid state devices, such as high electron mobility, resonant tunneling diodes, and other negative differential conductance devices, double-heterojunction injection lasers, superlattice-based infrared detectors, electron-wave devices (wave guides, couplers, switching devices), and other novel concepts and ideas made possible by nano-fabrication technology. Fall semester. Typical text: M. Jaros, Physics and Applications of Semiconductor Microstructures; G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures.
Prerequisites:
PEP 503
(3-0-3)(Lec-Lab-Credit Hours)
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics.
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(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to quantum mechanics for students in physics and engineering. Techniques discussed include solutions of the Schrodinger equation in one and three dimensions, and operator and matrix methods. Applications include infinite and finite quantum wells, barrier penetration and scattering in one dimension, the harmonic oscillator, angular momentum, central force problems, including the hydrogen atom, and spin. Fall semester. Typical text: Quantum Physics by Gasiorowicz
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| | (1-0-1) (Lec-Lab-Credit Hours)
This seminar is focused on nanostructure-scale electron systems that are so small that their dynamic and statistical properties can only be properly described by quantum mechanics. This includes many submicron semiconductor devices based on heterostructures, quantum wells, superlattices, etc., and it interfaces sol
id state physics with surface physics and optics. Outstanding visiting scientists make presentations, as well as some faculty members and doctoral research students discussing their thesis work and related journal articles. Participation in these seminars is regarded as an important part of the research education of a physicist working in condensed matter physics and/or surface physics and optics. One credit per semester. PEP 700 and PEP 701 may be taken for up to three credits.
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| | (1-0-1) (Lec-Lab-Credit Hours)
This seminar is focused on current topics in physics and their applications in various areas. The format of the seminar is similar to PEP 700, but the scope of the seminar covers a broader range of topics, including interdisciplinary areas and applications such as low-temperature plasma science and technology, atmospheric and environmental science and technology, and other topics. One credit per semester. PEP 700 and PEP 701 may be taken for up to three credits.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Group theory for physicists with applications to solid state and molecular physics. Relation between group theory and quantum (or classical) mechanics, between classes and observables, and between representations and states. Point groups: full rotation group, crystallographic point groups, and spin-associated double groups. Crystal field theory with and without spin, selection rules and character tables, and use of product representation. Form of macroscopic crystal tensors molecular vibrational states and spectra. Translational properties of crystals. Energy band structure. Formal classification of space groups with examples. Time reversal and Onsager relations with examples. Lattice vibrations and phonons. Localized valence orbitals in chemistry. Hartree-Fock many-electron wave-functions. Phase transitions. Representative texts: M. Lax Symmetry, Principles in Solid State and Molecular Physics; Heine Group, Theory in Quantum Mechanics.
Prerequisites:
PEP 554
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mecha
nics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Theoretical foundations of spectroscopic methods and their application to the study of atomic and molecular structure and properties; theory of absorption and emission of radiation; line spectra of complex atoms; group theory; rotational, vibrational, and electronic spectroscopy of diatomic and polyatomic molecules; infrared, Raman, and uv-vis spectroscopy; laser spectroscopy and applications; photoelectron spectroscopy; and multi-photon processes. CH 520 is an alternative prerequisite to PEP 554.
Prerequisites:
PEP 509
(3-0-3)(Lec-Lab-Credit Hours)
The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester.
Close |
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Geometrical foundatio
ns of space-time theories, geometrical objects, affine geometry, and metric geometry; structure of space-time theories, symmetry, and conservation laws; Newtonian mechanics; special relativity; foundations of general relativity, Mach’s principle, principle of equivalence, principle of general covariance, and Einstein’s equations; solution of Einstein’s equations; experimental tests of general relativity; conservation laws in general relativity, gravitational radiation, and motion of singularities; and cosmology. Fall semester. Course may be taken for up to six credits.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Progress in the technology of nanostructure growth; space and time scales; quantum confined systems; quantum wells, coupled wells, and superlattices; quantum wires and quantum dots; electronic states; magnetic field effects; electron-phonon interaction; and quantum transport in nanostructures: Kubo formalism and Butikker-Landau formalism; spectroscopy of quantum dots; Coulomb blockade, coupled dots, and artificial molecules; weal localization; universal conductance fluctuations; phase-breaking time; theory of open quantum systems: fluctuation-dissipation theorem; and applications to quantum transport in nanostructures.
Prerequisites:
PEP 554
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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(3-0-3)(Lec-Lab-Credit Hours)
Crystal symmetry. Space-group-theory analysis of normal modes of lattice vibration, phonon dispersion relations, and Raman and infrared activity. Crystal field splitting of ion energy level and transition selection rules. Bloch theorem and calculation of electronic energy bands through tight binding and pseudopotential methods for metals and semiconductors and Fermi surfaces. Transport theory, electrical conduction, thermal properties, cyclotron resonance, de Haas van Alfen, and Hall effects. Dia-, para-, and ferro-magnetism and magnon spinwaves. Spring semester. Typical texts: Callaway, Quantum Theory of Solid State; Ash
croft and Mermin, Solid State Physics; and Kittel, Quantum Theory of Solids.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is open to students who have taken PEP 754 or its equivalent. It concerns itself with modern field theory; such topics as Yang-Mills fields, the renormalization group, and functional integration. It will concern itself with applications to both elementary particles and condensed matter physics; i.e. the theory of critical exponents. Typical text: C. Quigg, Gauge Theories of Strong, Weak, and Electromagnetic Interactions.
Prerequisites:
PEP 754
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to relativistic quantum mechanics and quantum field theory. Relativistic wave equations, including the Klein-Gordon equation and the Dirac equation. Commutation relation and canonical quantization of free fields. Spin and statistics of Bose and Fermi fields. Interacting quantum fields: interaction representation and S-matrix perturbation theory, Feynman diagrams, and renormalization theory with applications to quantum electrodynamics. Typical texts: Advanced Quantum Mechanics by J. J. Sakurai and Quantum Field Theory by F. Mandl and G. Shaw.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is open to students who have taken PEP 754 or its equivalent. It is an introduction to the theory of elementary particles. It stresses symmetries of both the strong and weak interactions. It presents a detailed study of SU(3) and the quark model, as well as the Cabbibo theory of the weak interactions. Typical text: F. Close, An Introduction to Quarks and Partons.
Prerequisites:
PEP 754
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to relativistic quantum mechanics and quantum field theory. Relativistic wave equations, including the Klein-Gordon equation and the Dirac equation. Commutation relation and canonical quantization of free fields. Spin and statistics of Bose and Fermi fields. Interacting quantum fields: interaction representation and S-matrix perturbation theory, Feynman
diagrams, and renormalization theory with applications to quantum electrodynamics. Typical texts: Advanced Quantum Mechanics by J. J. Sakurai and Quantum Field Theory by F. Mandl and G. Shaw.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is an introduction to relativistic quantum mechanics and quantum field theory. Relativistic wave equations, including the Klein-Gordon equation and the Dirac equation. Commutation relation and canonical quantization of free fields. Spin and statistics of Bose and Fermi fields. Interacting quantum fields: interaction representation and S-matrix perturbation theory, Feynman diagrams, and renormalization theory with applications to quantum electrodynamics. Typical texts: Advanced Quantum Mechanics by J. J. Sakurai and Quantum Field Theory by F. Mandl and G. Shaw.
Prerequisites:
PEP 653
(3-0-3)(Lec-Lab-Credit Hours)
This course is a continuation of PEP 554. Topics include: principles of quantum dynamics, time-dependent perturbation theory, scattering theory, the density matrix, quantization of the electromagnetic field, interaction of photons with atoms and non-relativistic particles, identical particles, and second quantization for many-body systems. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Since its emergence over 75 years ago, quantum mechanics brings each generation new challenging investigations and discoveries of quantum phenomena. In this course we introduce the results of research on quantum properties of light and matter that afford the possibility of unprecedented control over dynamics of atoms and molecules. The course Methods of Quantum Control is developed for students interested in understanding of the light-matter interactions and learning about advanced methods of control of ultrafast dynamics in atomic and molecular systems using femtosecond laser pulses.
Prerequisites:
PEP 527
(3-0-3)(Lec-Lab-Credit Hours)
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, diverge
nce, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials; applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation); introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations; orthogonal curvilinear coordinates (general, also spherical and cylindrical); n-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation; tensors and pseudotensors in n-dimensions; similarity transformations and diagonalization of hermitian and unitary matrices, eigenvectors, and eigenvalues of hermitian and unitary matrices, and Schmidt orthogonalization; applications to coupled oscillators, rigid body dynamics, etc.; linear independence and completeness; and functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Prerequisites: four semesters and undergraduate math courses.
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(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Dirac notation; Transformation theory; Second quantization; Particle creation, and annihilation operators; Schrödinger, Heisenberg, and interaction pictures; linear response; S-matrix; density matrix; superoperators and non-Markovian kinetic equations; Schwinger action principle and variational calculus; quantum Hamilton equations; field equations with particle sources, potential, and phonon sources; retarded Green’s functions; localized state in continuum and chemisorption; Dyson equation; T-matrix; impurity scattering; self-consistent Born approximation; density-of-states; Green's function matching; ensemble averages and statistical thermodynamics, Bose, and Fermi d
istributions, and Bose condensation; thermodynamic Green’s functions; Lehmann spectral representation; periodicity/antiperiodicity in imaginary time and Matsubara Fourier series/frequencies; analytic continuation to real time; multiparticle Green’s functions and equations of motion with particle-particle interactions; Hartree and Hartree-Fock approximations; collisional lifetime effects; sum-of-ladder-diagrams integral equation; nonequilibrium Green’s functions; electromagnetic current-current correlation response; exact variational relations for multiparticle Green’s functions; cumulants; linked cluster theorem; random phase approximation; perturbation theory for Green’s functions, self-energy, and vertex functions by variational differential formulation; shielded potential perturbation theory; and imaginary time contour ordering, Langreth algebra, and the GKB Ansatz. Typical texts: Kadanoff and Baym, Quantum Statistical Mechanics, W. A. Benjamin and Horing, and Advanced Quantum Mechanics for Interacting and Mesoscopic Systems. Fall semester. Prerequisites include a good mathematical background in linear algebra and multivariable calculus.
Corequisites:
PEP 554 Quantum Mechanics I
(3-0-3)(Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
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Prerequisites:
PEP 242
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Die
lectric response of solid state plasmas; random phase approximation; semiclassical and hydrodynamic models; plasmons; shielding; electron-hole plasmon Landau damping; exchange and correlation energy; atom-surface van der Waals attraction; charged particle energy loss; electrodynamic response functions; dyadic Green’s functions; dynamic, nonlocal conductivity, and dielectric tensors; polaritons of compound nanostructures; coupling of light with 3-D, 2-D, and superlattice collective modes; electron(e) - hole (h) - phonon (p) Hamiltonian for solids with e-e, h-h, e-p, h-p, and e-h interactions explained; Coupled electron-hole-phonon Green’s functions of all orders and derivation of the fully-interacting equations of motion for 1-electron and 1-hole Green’s functions and for 2-electron and 2-hole Green’s functions, as well as the electron-hole Green’s function with analysis of exciton states and electron-hole scattering matrix; electron-phonon coupling effects on electron propagation and polarons; phonons of periodic lattice in the harmonic approximation, eigenvector expansion of phonon Green’s functions for monatomic and ionic diatomic lattices, acoustic and optical phonons, and polarizability of a diatomic lattice; Phonon Green’s function with coupling to dynamic nonlocal electron screening, umklapp, coupled ion-electron oscillations, and Bohm-Staver phonon dispersion relation; generalized shield potential approximation; electron and hole interaction operators; superfluid field operators and the Gross-Pitaevski equations; Bogoliubov approximation, superfluid Green’s functions, and elementary excitations; superconductivity-BCS Theory, anomalous Green’s functions, and Gorkov equations, gap, derivation of Ginzburg-Landau equations. Typical text: Horing, Advanced Quantum Mechanics for Interacting and Mesoscopic Systems; Mahan, Many-Particle Physics, Plenum Press; and recommended readings. Spring semester.
Prerequisites:
PEP 757
(3-0-3)(Lec-Lab-Credit Hours)
Dirac notation; Transformation theory; Second quantization; Particle creation, and annihilation operators; Schrödinger, Heisenberg, and interaction pictures; linear response; S-matrix; density matrix; superoperators and non-Markovian kinetic equations; Schwinger action principle and variational calculus; quantum Hamilton equations; field equations with particle sources, potential, and phonon sources; retarded Green’s functions; localized state in continuum and chemisorption; Dyson equation; T-matrix; impurity scattering; self-consistent Born approximation; density-of-states; Green's function matching; ensemble averages and statistical thermodynamics, Bose, and Fermi distributions, and Bose condensation; thermodynamic Green’s functions; Lehmann spectral representation; periodicity/antiperiodicity in imaginary time and Matsubara Fourier series/frequencies; analytic continuation to real time; multiparticle Green’s functions and equations of motion with particle-particle interactions; Hartree and Hartree-Fock approximations; collisional lifetime effects; sum-of-ladder-diagrams integral equation; nonequilibrium Green’s functions; electromagnetic current-current correlation response; exact variational relations for multiparticle Green’s functions; cumulants; linked cluster theorem; random phase approximation; perturbation theory for Green’s functions, self-energy, and vertex functions by variational differential formulation; shielded potential perturbation theory; and imaginary time contour ordering, Langreth algebra, and the GKB Ansatz. Typical texts: Kadanoff and Baym, Quantum Statistical Mechanics, W. A. Benjamin and Horing, and Advanced Quantum Mechanics for Interacting and Mesoscopic Systems. Fall semester. Pr
erequisites include a good mathematical background in linear algebra and multivariable calculus.
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| | (0-0-3) (Lec-Lab-Credit Hours)
Topics include any one of the following: magnetohydrodynamics, quantum mechanics, general relativity, many-body problem, nuclear physics, quantum field theory, low temperature physics, diffraction theory,and particle physics. Limit of six credits for the master’s degree.
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| | (0-0-3) (Lec-Lab-Credit Hours)
One to six credits. Limit of six credits for the degree of Doctor of Philosophy.
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| | (0-0-3) (Lec-Lab-Credit Hours)
For the degree of Master of Science. Five to ten credits with departmental approval.
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| | (0-0-3) (Lec-Lab-Credit Hours)
For the degree of Master of Engineering. Five to ten credits with departmental approval.
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| | (0-0-3) (Lec-Lab-Credit Hours)
Original experimental or theoretical research undertaken under the guidance of the faculty of the department which may serve as the basis for the dissertation required for the degree of Doctor of Philosophy. Hours and credits to be arranged. This course is open to students who have passed the doctoral qualifying examination; a student who has already taken the required doctoral courses may register for this in the term in which s/he intends to take the qualifying examination.
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Physics & Engineering Physics Department
Knut Stamnes, Director |
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