All Graduate courses are 3 credits except where noted.
See the registrar's web site for the current
course offerings. Select "Course Schedules" from the menu.
PEP 500 Physics Review* 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;
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.
PEP 501 Fundamentals of Atomic
Physics* 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.
PEP 503 Introduction to Solid
State Physics 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, PEP 542 or equivalent. Cross-listed with EE 503
and MT 503.
PEP 506 Introduction to Astronomy
and Cosmology Theories of the universe, general relativity,
Big Bang cosmology and the inflationary universe; elementary particle
theory and nucleosynthesis in the early universe. Observational
cosmology; galaxy formation and galactic structure; stellar evolution
and formation of the elements. White dwarfs, neutron stars and black
holes, planetary systems and the existence of life in the
universe.
PEP 507Introduction to Microelectronics and
Photonics An overview of microelectronics and
photonics science and Technology. It provides the student who wishes
to specialize in their application, physics or fabrication with the
necessary knowledge of how the different aspects are interrelated. It
is taught in three modules: design and applications, taught by EE
faculty; operation of electronic and photonic devices, taught by
Physics faculty; fabrication and reliability, taught by the materials
faculty. Cross-listed with EE 507 and MT 507.
PEP 509 Intermediate Waves and
Optics 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.
Prerequisites:PEP 209, PEP 542 or equivalent. Cross-listed with EE 509.
PEP 510 Modern Optics Lab
The course is designed to familiarize students with a range of
optical instruments and their applications. Included will be
measurement of aberrations in optical systems, thin-film properties,
Fourier transform imaging systems, nonlinear optics and laser beam
dynamics. Fall semester.
Prerequisites:PEP 509 or
consent of the instructor. This course may sometimes be offered in
the spring term if space is available.
PEP 512 Introduction to Nuclear
Physics and Nuclear Reactors 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; nuclear reactors.
PEP 515-516 Photonics
I, II 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 for this course
are either PEP 209
or PEP 509. Cross-listed with EE 515-516 and
MT 515-516.
PEP 520 Computational
Physics Both numerical techniques and the elements of
continuum mechanics are covered. Numerical methods for integrating
Newton’s laws, the heat equation, Poisson’s equation and the
fluid flow are discussed. Topics also covered: discrete Fourier
transform technique, stability theory and the diagonalization of
matrices, and Monte Carlo methods. Course project offers students the
opportunity to learn specialized techniques in areas of
interest. Spring semester. Typical text: Potter, Computational
Physics.
PEP 524 Introduction to Surface
Science 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.
PEP 525 Techniques of Surface
Analysis 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, ellipsometry; electron
spectroscopy; Auger, photoelectron, LEED; ion spectroscopies; SIMS,
IBS, field emission; surface properties-area, roughness and surface
tension. Alternate years. (See MT 525.)
PEP 527 Mathematical Methods for
Physics and Engineering I 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), viscous fluid dynamics (the Navier-Stokes
equation, Euler equation, 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, cylindrical). N-dimensional complex space
and unitarity, matrix notation, inverse of matrix, Pauli spin
matrices, relativity, 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, Schmidt
orthogonalization. Applications to coupled oscillators, rigid body
dynamics, etc. Linear independence and completeness. 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,
asymptotics. Fall Semester.
Prerequisites:
4 semesters undergraduate
math courses.
PEP 528 Mathematical Methods for
Physics and Engineering II Introduction to Hilbert space,
function vectors, completeness in the strong and weak senses,
expansion in complete orthonormal sets of functions, 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, multipole expansion. Ordinary
differential equations, 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, Bessel
equation. Sturm-Liouville systems and weighted complete orthonormal
sets of eigenfunctions, 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,
Volterra equation. Spring semester.
Prerequisites:
PEP 527.
PEP 538 Introduction to
Mechanics Particle motion in one dimension. Simple harmonic
oscillators. Motion in two and three dimensions, kinematics, work and
energy, conservative forces, central forces, scattering. Systems of
particles, linear and angular momentum theorems, collisions, linear
spring systems, normal modes. Lagrange’s equations, applications
to simple systems. Introduction to moment of inertia tensor and to
Hamilton’s equations.
PEP 540Physical Electronics CCharged 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; Townsend discharge. Typical
text: Beck and Ahmed, An Introduction to Physical
Electronics.
PEP 541 Physics of Gas
Discharges 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; discharge and low-temperature plasma generation. Typical
texts: J.R. Roth, Industrial Plasma Engineering: Principles,
Vol.1 , and Y.P. Raizer, Gas Discharge Physics
. Cross-listed with EE 541.
PEP 542 Electromagnetism
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, 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.
PEP 544 Introduction to Plasma
Physics and Controlled Fusion 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, thermonuclear reactions; the Lawson
condition; magnetic confinement fusion; laser fusion. Fall
semester.
Prerequisites: PEP 542.Typical text:
F. Chen, Plasma Physics.
PEP 545 Plasma Processing
Basic plasma physics; some atomic processes; plasma
diagnostics. Plasma production; D.C. glow discharges, 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; ion
implantation. Sputtering systems; ion sources; electron sources; ion
beam handling. Typical texts: Chapman, Glow Discharge Processes
; Brodie, Muray, The Physics of Micro-fabrication
. Fall semester.
PEP 550 Fluid Mechanics
Description of principle flow phenomena: pipe and channel flows,
laminar flow, transition, turbulence; flow past an object-boundary
layer, wake, separation, vortices, drag; convection in horizontal
layers-conduction, convection, 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; transitions to
turbulence. Typical text: Tritton, Physical Fluid
Dynamics.
PEP 551 Advanced Physics
Laboratory I An experimental presentation of the evidence for
atomic and nuclear theories; typical experiments are: excitation
potentials; electronic charge; specific charge of the electron; the
Balmer series; Zeeman splitting; spectroscopic isotope shifts; the
photovoltaic effect; the Hall effect; gamma ray spectrometry; beta
ray spectrometry; neutron activation of nuclides; statistics of
counting processes; optical and X-ray diffraction; the Langmuir
probe; nuclear magnetic resonance. Fall semester, repeated second
semester. By arrangement. Laboratory fee $5. Typical texts: Young,
Statistical Treatment of Experimental Data; Melissinos,
Experiments in Modern Physics.
Prerequisites:PEP 222.
PEP 553Introduction to
Quantum Mechanics This course is an introduction to
Schrödinger wave mechanics for students in physics and engineering
with an emphasis on engineering applications. This is a required
course for all physics undergraduates as well as students in the
Microelectronics and Photonics M.S./M.E. degree program and other
professional M.S./M.E. degree programs. Topics discussed include one
dimensional infinite and finite quantum wells, barrier penetration and
scattering in one dimension, linear harmonic oscillator, Kronig-Penney
model, angular momentum, central force problems including the hydrogen
atom, and spin. Typical texts: Introductory Quantum Mechanics
by R. L. Liboff and Quantum Mechanics Fundamentals and
Applications to Technology by J. Singh.
Prerequisites:
Ma 221
and PEP 242 or
equivalent.
PEP 554 Quantum Mechanics
I 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;
approximation methods for stationary problems including time
independent perturbation theory, WKB approximation and variational
methods. Typical text: Quantum Mechanics by
E. Merzbacher.
Prerequisites:PEP 553, PEP 538, and PEP 527 or
equivalent.
PEP 555 Statistical Physics and
Kinetic Theory Kinetic theory: ideal gases, distribution
functions, Maxwell-Boltzmann distribution, Boltzmann equation,
H-theorem and entropy, simple transport theory. Thermodynamics:
review of first and second laws, thermodynamic potentials, Legendre
transformation, 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, blackbody radiation. Typical text: Reif,
Statistical and Thermal Physics.
PEP 561 Solid State Electronics
for Engineering I 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. Cross-listed with EE 561 and MT 561.
PEP 562 Solid State Electronics
for Engineering II 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; integrated
devices. Cross-listed with EE 562 and MT 562.
PEP 570 Guided-Wave Optics
Review of electromagnetic theory; derivation of Fresnels’
equations; guided-wave propagation by metallic and dielectric
waveguides including step-index optical fibers, graded-index fibers;
optical transmission systems; nonlinear effects in optical fibers,
solitons and fiber-optic gyroscope.
PEP 575Fundamentals of
Atmospheric Radiation and Climate 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:
undergraduate calculus, ordinary
differential equations (Ma 221 or equivalent) and basic modern
physics (PEP 201 or
PEP 242 or
equivalent).
PEP 577 Laser Theory and
Design 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; chemical lasers, dye
lasers, Raman lasers, high power lasers, TEA lasers, gas dynamic
lasers. Design considerations for GaAlAs, argon ion, helium neon,
carbon dioxide, neodymium YAG and pulsed ruby lasers. Fall
semester. Typical text: Yariv, Optical Electronics.
PEP 578 Laser Applications and
Advanced Optics Integrated optics, nonlinear optics, Pockels
effect, Kerr effect, harmonic generation, parametric devices, phase
conjugate mirrors, 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,
optical communication. Scattering of light, Rayleigh, Mie, Brillouin,
Raman and Doppler shift scattering. Spring semester.
PEP 580 Electronic Materials and
Devices 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.
PEP 585Physical Design of Wireless Systems
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; minimization of power dissipation in
receivers. Cross-listed with EE/MT 585.
PEP 595 Reliability and
Failure of Solid State Devices This course
deals with the electrical, chemical, environmental and mechanical
driving forces that compromise the integrity and lead to the failure
of electronic materials and devices. Both chip and packaging level
failures will be modeled physically and quantified statistically in
terms of standard reliability mathematics. On the packaging level,
thermal stresses, solder creep, fatigue and fracture, contact
relaxation, corrosion and environmental degradation will be
treated.
Prerequisites:PEP 507. Cross-listed
with MT/EE 595.
PEP 596Microfabrication Techniques 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. Cross-listed with MT/EE 596.
PEP 601Fundamentals of
Data Transmitting This course is the first part of
the graduate certificate program “Wireless Secure Network
Design,” which also includes three other courses: PEP 602, 603 and 604. Program focuses on heterogeneous wireless
systems used by first-responders – police, fire fighters, National
Guard and other emergency forces – to protect the public during
large scale crises, such as natural disasters and acts of
terrorism. The program also includes analysis of homeland defense,
financial and military operations using secure wireless systems. At
the end of the program students will learn how to protect existing
wireless systems and how to design highly secure systems for a future
use. The course presents a comprehensive analysis of different parts
of the electromagnetic spectrum, transmission and modulation
technologies, hardware, new artificially engineered materials and
MEMS with accent on security and robustness of
communications.
Prerequisites:PEP 507 and PEP 585 or permission of instructor.
PEP 602Secure
and Robust Communications This course presents an
overview of areas of first responders', military activities and use
of different heterogeneous wireless systems during large scale
crises, such as natural disasters, acts of terrorism and during
homeland defense, financial and military operations. The course
includes an analysis of different wireless network architectures from
a security point of view. The course is the second part of the
graduate certificate program “Wireless Secure Network Design”
which also includes three other courses: PEP
601, 603 and 604.
Prerequisites:PEP 601.
PEP 603Physical and Logical Security This course
presents an overview of different methods of authentication and
authorization in secure wireless networks. The course focuses on
different methods of physical data and link protection, probability
of detection and interception, anti-jam and covert capabilities,
active and passive protection methods and equipment. The course is
the third part of the graduate certificate program “Wireless
Secure Network Design” which also includes three other courses: PEP 601, 602 and 604.
Prerequisites:PEP 601, PEP 602.
PEP 604Secure
Telecom Wireless System Design This course
presents an overview of different methods used in secure
heterogeneous wireless systems design. Large scale infrastructure and
ad hoc networks test and simulation are major parts of the
course. The course also includes practical exercises and lab
experiments. The course is the last part of the graduate certificate
“Wireless Secure Network Design” which includes also three
other courses: PEP 601, 602 and 603. Students who have successfully
finished all four courses will receive a graduate certificate in
wireless secure network design.
Prerequisites:PEP
601, PEP 602, PEP
603.
PEP 607/608 Plasma
Physics III* Motion of charged particles in
electromagnetic field; Boltzmann equation for plasma; properties of
magnetoplasmas; 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; universal
instabilities. Typical text: Schmidt, Physics of High Temperature
Plasmas. Fall and spring semester.
Prerequisites: PEP 642, PEP 643 and
PEP 555.
PEP 610 Advanced Modern Optics
Lab* 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 or the consent of the instructor.
PEP 619 Solid State Devices
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 or equivalent. Cross-listed with EE 619.
PEP 621Quantum
Chemistry 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;
applications to many-electron atoms and molecules.
Prerequisites:
Ch 520 or PEP 554 or equivalent.
PEP 626Optical
Communication Systems 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. Cross-listed with EE 626, MT 626 and NIS 626.
PEP 630Nonlinear
Dynamics Definition of dynamical systems; phase space,
equilibrium states and their classification; nonlinear oscillator
without and with 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; chaos: fractal dimension,
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 or permission of the instructor.
PEP 642 Mechanics
Lagrangian and Hamiltonian formulations of mechanics, rigid body
motion, elasticity, mechanics of continuous media, small vibration
theory, special relativity, canonical transformations, perturbation
theory. Typical text: Classical Mechanics.
PEP 643 Electricity and Magnetism
I 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; Laundau and Lifshitz,
Electrodynamics in Continuous Media.
Prerequisites:PEP 528 and PEP 542.
PEP 644 Electricity and Magnetism
II 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 Laundau and Lifshitz, The Classical Theory of Fields,
Electrodynamics in Continuous Media.
Prerequisites:PEP 643.
PEP 651 Advanced Physics
Laboratory II* Advanced laboratory
work in modern physics arranged to suit your requirement. Fall and
spring semesters. Laboratory fee: $5. Typical text: see PEP 551.
Prerequisites:PEP 551.
PEP 653 Quantum
Mechanics II 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
554 and PEP 542 or equivalent.
PEP 661/662
Solid State Physics III Crystal symmetry. Space-group-theory
analysis of normal modes of lattice vibration, phonon dispersion
relations; 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, Fermi
surfaces. Transport theory, electrical conduction, thermal
properties, cyclotron resonance, de Haas van Alfen and Hall
effects. Dia-, para- and ferro-magnetism, magnon spinwaves. Fall and
spring semester. Typical texts: Callaway, Quantum Theory of Solid
State; Ashcroft and Mermin, Solid State Physics;
Kittel, Quantum Theory of Solids. Recommended: PEP 503 and PEP 553-554.
PEP 667 Statistical
Mechanics 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, renormalization group. Typical text:
Huang, Statistical Mechanics.
PEP 678Physics
of Optical Communication Systems The physics
behind modern optical communication systems and high data rate
communication systems; information theory and light propagation in
optical fiber wave guide channels; semiconductor laser sources and
detectors; digital optical communication systems; quantum optical
information theory; coherence and quantum correlations; optical
solution-based communication; squeezed light and noise limitations;
coherent optical communication systems; de-phasing and de-coherence;
teleportation, cryptography and fractal optics.
Prerequisites:PEP 542, PEP 554, and PEP 503.
PEP 679 Fourier Optics
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; coherent and
incoherent optical signal processing. Spring semester. Typical text:
Goodman, Introduction to Fourier Optics.
PEP 680 Quantum Optics
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, nonlinear interactions. Offered in
alternate years. Typical text: Loudon, Quantum Theory of
Light.
Prerequisites:PEP 542 or
equivalent, PEP 554 and PEP
509.
PEP 690Introduction to VLSI Design This course
introduces students 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. Selected class projects may be sent for
fabrication. Cross-listed with CpE 690 and MT 690.
PEP 691 Physics and Applications
of Semiconductor Nanostructures 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:
Basic knowledge in quantum mechanics and solid state physics (at the
levels of PEP 553, PEP
503).
PEP 700 Quantum Electron Physics
and Technology Seminar 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 solid 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-half credit per semester. PEP
700 and PEP 701 may be taken for up to three
credits. Pass/Fail.
PEP 701 Topics in Physics
and Engineering Physics*
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-half credit per semester. PEP 700
and PEP 701 may be taken for up to three
credits. Pass/Fail.
PEP 704 Group Theory for
Physicists in Solid State and Molecular Physics 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, between representations
and states. Point groups: full rotation group, crystallographic point
groups, spin-associated double groups. Crystal field theory with and
without spin; selection rules and character tables, 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:
Course equivalent to PEP 554 in quantum mechanics and associated
mathematics of operators and Hilbert spaces.
PEP 722Molecular Spectroscopy 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, uv-vis
spectroscopy; laser spectroscopy and applications; photoelectron
spectroscopy; multi-photon processes.
Prerequisites:
Ch 520 or PEP 554 and PEP 509 or
equivalent.
PEP 739 Theory of Relativity* Geometrical foundations of space-time
theories, geometrical objects, affine geometry, metric geometry;
structure of space-time theories, symmetry, conservation laws;
Newtonian mechanics; special relativity; foundations of general
relativity, Mach’s principle, principle of equivalence, principle
of general covariance, Einstein’s equations; solution of
Einstein’s equations; experimental tests of general relativity;
conservation laws in general relativity, gravitational radiation,
motion of singularities; cosmology. Fall semester. Course may be
taken for up to six credits.
PEP 740 The Physics of
Nanostructures 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; quantum transport in nanostructures: Kubo formalism,
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; applications to
quantum transport in nanostructures.
Prerequisites:PEP 553 - 554 and PEP 661 - 662.
PEP 750 Quantum Field Theory* 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.
PEP 751 Elementary
Particles* 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.
PEP 754Advanced Quantum Mechanics 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.
PEP 757Quantum Field
Theory Methods in Statistical and Many-Body Physics 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, 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; imaginary time
contour ordering, Langreth algebra and the GKB Ansatz. Typical texts:
Kadanoff and Baym, Quantum Statistical Mechanics,
W. A. Benjamin and Horing, Advanced Quantum Mechanics for
Interacting and Mesoscopic Systems. Fall semester.
Prerequisites:PEP 242 or equivalent
and a good mathematical background in linear algebra and multivariate
calculus; PEP 554 will be a corequisite unless
waived by instructor.
PEP 758Coupled Quantum
Field Theory Methods in Condensed Matter Physics * Dielectric response of solid-state plasmas;
random phase approximation; semiclassical and hydrodynamic models;
elasmons; 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 3D, 2D 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,
polarizability of a diatomic lattice; Phonon Green’s function with
coupling to dynamic nonlocal electron screening, umklapp, coupled
ion-electron oscillations, 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.
PEP 800 Special Topics in
Physics 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, particle physics. Limit of
six credits for the master’s degree.
PEP 801 Special Topics in
Physics One to six credits. Limit of six credits for the
degree of Doctor of Philosophy.
PEP 900 Thesis in Physics
For the degree of Master of Science. Five to ten credits with
departmental approval.
PEP 901 Thesis in Engineering
Physics For the degree of Master of Engineering. Five to ten
credits with departmental approval.
PEP 960 Research in
Physics 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.
