**All courses are 3 credits unless otherwise noted.**

**Course offered only when a sufficient number of interested
students register.*

**PHY 501-502 Introduction to Mathematical Physics
I-II**

Complex variables, ordinary and partial differential equations,
special functions, Fourier series and transforms, Laplace
transforms, boundary value problems, Green's functions, matrices,
function spaces, group theory, tensors. LEC

**PHY 503-504 Introduction to Theoretical Physics
I-II**

Recommended for students who lacked or were poorly prepared in
junior/senior-level physics courses. Topics: mechanics,
electromagnetic fields, interaction of electromagnetic fields with
matter, special relativity. LEC

**PHY 505 Computational Physics I
** Prerequisites: classical and quantum mechanics,
electrodynamics, and thermal physics at the undergraduate level;
familiarity with a programming language helpful, but not
required.

This course integrates the elements of numerical analysis and computer programming to study a variety of problems in classical, quantum, and statistical physics. Basic numerical operations: root finding, interpolation, matrix inversion, numerical differentiation, and quadrature. Structured and object-oriented programming of basic operations in modern languages, such as C++, FORTRAN 90, and Java. Numerical solution of ordinary linear and nonlinear differential equations of classical and quantum physics. Boundary-value and eigenvalue problems. Statistical analysis of data, the Fast Fourier Transform, and computer graphics. LEC/LAB

**PHY 506 Computational Physics II
** Prerequisite: PHY 505

More advanced numerical techniques applied to time-independent and time-dependent problems described by linear and nonlinear partial differential equations, and to the physics of systems with many degrees of freedom. Matrix operations and solution of large systems of linear equations. Random variables, importance sampling, and Monte Carlo methods. Visualization of large data sets, and animated computer graphics. Use of mathematical library routines in numerical analysis. Introduction to computer algebra and symbol manipulation programs. LEC/LAB

**PHY 507-508 Quantum Mechanics I-II
** First course deals with basic principles and formulations of
quantum mechanics, classical limit and WKB method, representations
and transformations, pure and mixed states, conservation laws and
symmetries, central-force problems and solutions, and approximation
methods for stationary states. Second course concentrates on
coupling of angular momenta, rotation matrix, time-dependent
perturbation and quantum transitions, many-electron systems, and
scattering theory. LEC

**PHY 509 Classical Dynamics
** D'Alembert's principle; principle of virtual work; Lagrange
equations and application to the dynamics of particles, rigid
bodies, rotating systems, small oscillations, nonholonomic systems,
principle of least action; Hamilton's principle; canonical
transformations; Poisson brackets; integral invariants;
Hamilton-Jacobi theory. LEC

**PHY 510 Advanced Quantum Mechanics
** Topics include classical fields; quantization of fields;
quantum theory of radiation; relativistic quantum mechanics of
spin-half particles; covariant perturbation theory; application of
second quantization method to atomic physics, particle physics,
statistical mechanics, and solid-state physics. LEC

**PHY 511-512 Quantum Theory of Fields I-II*
** Review of classical field theory; discrete and continuous
symmetries, conservation laws, and Noether's theorem; canonical
quantization of the free Klein-Gordon, Dirac, and electromagnetic
fields; path integral quantization; interacting fields andcovariant
perturbation theory; Feynman diagrams; ultraviolet and infrared
divergences, regularization, and renormalization; vacuum
expectation values and the S-matrix; special topics selected from
the renormalization group and asymptotic behavior, solitons,
spontaneous symmetry breaking, nonabelian gauge fields, lattice
gauge theory, and quantum gravity; global and local symmetries and
modern gauge theory of elementary particles and their interactions;
the standard SU(3)xSU(2)xU(1) model of particle physics, families
of quarks and leptons; electroweak unification and the Higgs
mechanism; quantum chromodynamics, asymptotic freedom, and quark
confinement. LEC

**PHY 513-514 Electrodynamics I-II
** First course deals with treatment of boundary-value problems
in electrostatics and magnetostatics by method of images,
orthogonal function expansions, Green's functions, and conformal
mapping; multipoles, dielectrics, and magnetic materials. Second
course concentrates on Maxwell's equations, propagation of plane
waves in various media, radiating systems, special theory of
relativity, radiation by moving charges, radiation damping, and
scattering and absorption of radiation by a bound system. LEC

**PHY 519 Statistical Physics I
** Concept of ensembles; exactly solvable physical systems, such
as Tonks and Takahashi gases; mean field theory of fluids and
first-order phase transitions; second-order phase transitions;
critical exponents; Ising model; lattice-gas model; fluctuations
and correlations, scaling, and renormalization group analyses.
LEC

**PHY 520 Statistical Physics II
** Classical dense gases and liquids, virial expansion,
distribution functions, Ornstein-Zernike equation, Percus-Yevick
and hypernetted chain approaches; quantum fluids, ideal and
interacting Bose, and Fermi gases selected applications;
description of systems in the elastic limit with applications to
two-dimensional melting and analyses of inhomogeneous media; linear
response theory and dynamical correlations; stochastic and memory
functionbased analyses; Boltzmann equation; Navier-Stokes
equation. LEC

**PHY 521 Elementary Particle Physics
** Designed to acquaint students with the broad features of
particle physics, serving either as an introduction to further
study or as an informative overview for specialists in other
fields. Complete familiarity with special relativity and quantum
mechanics is assumed. Topics: introduction to families of
particles; relativistic kinematics applied to reaction
cross-sections and decay rates; symmetries and conservation laws,
isospin, strangeness, charm, and beauty; parity and CP violation in
weak interactions; quark model of hadrons; high-energy accelerators
and detectors; applications of particle physics in heavy-ion
collisions, astrophysics, and the early universe. LEC

**PHY 522 Topics in High-Energy Physics*
** Topics may include particle physics at high-energy colliders
and super-colliders; theories of physics beyond the standard model,
including grand unification, supersymmetry, composite models, and
superstring theories. LEC

**PHY 523-524 Nuclear Physics I-II*
** Topics include fundamental properties of nuclei; interactions
of radiation with matter; nuclear two-body problems, including
properties of deuteron, low-energy nucleon-nucleon scattering with
and without tensor forces, effective range theory, polarization
treatment, photodisintegration of deuteron, and n-p capture;
nucleon-nucleon scattering at high energies, and meson theory of
nuclear force, nuclear models, nuclear reactions, electron
scattering from nuclei in Born approximation; Fermi theory of beta
decay. LEC

**PHY 527-528 Solid-State Physics I-II
** Introductory graduate solid-state physics. Topics include
properties of crystalline solids, reciprocal lattice, lattice
vibrations, thermal properties, electronic properties, energy
bands, Fermi surface, dynamics of conduction electrons, magnetic
and optical properties, semiconductors, layered structures, and
superconductivity. LEC

**PHY 529 Electronics
** Designed to acquaint graduate students with the concepts of
circuit design that are necessary to apply modern electronics to
physics research. Modern solid-state components, integrated
circuits, digital circuits, and instrumentation are discussed. The
course is laboratory oriented, and consists of one hour of lecture
and seven hours of laboratory per week. LAB

**PHY 534-535 Atomic and Molecular Physics I-II*
** Topics include many-electron atoms, various angular momentum
couplings, variational and Hartree-Fock methods of energy
calculations, selection rules, atoms in external fields,
configuration interactions, and theories of atomic orbitals and
molecular orbitals. Hyperfine structure and nuclear properties,
molecular beam studies of nuclear properties, atomic problems in
astrophysics, theory of atomic collision. LEC

**PHY 536 Kinetic Theory of Gases and Plasmas*
** Kinetic theory of plasmas, Vlasov equation and its
applications, Landau damping, theories of Bogoliubov and of Frieman
and Sandri, stability of plasmas, transport properties of plasmas.
LEC

**PHY 538-539 Quantum Theory of Solids I-II
** Topics include periodic structures, Bloch theorem, and
Brillouin zones; phonons and lattice dynamics; electron states,
nearly free electron models, and other models; static properties of
the classification of solids; electron-electron interactions;
dynamics of electrons, mass tensor, excitons, electron-phonon
interactions, transport properties, electrical and thermal
conductivities, relaxation times, general transport coefficients;
optical properties, Fermi surfaces, cyclotron resonance,
magneto-acoustic oscillations, de Haasvan Alphen effect;
magnetism, superconductivity. LEC

**PHY 546 Many-Body Theory*
** Second quantization, Green's functions and diagram techniques,
and path integrals; applications to electron gas, liquid helium,
and superconducting systems. LEC

**PHY 551-552 Graduate Physics Laboratory I-II
** Laboratory course dealing with experimental techniques, and
applications to experiments in superconductivity, Josephson effect,
light scattering, infrared spectroscopy, X-ray diffraction,
scanning tunneling microscopy, nuclear medicine resonance,
semiconductor spectroscopy, atomic and molecular spectroscopy,
laser optics, and Pi-Muon scattering. LAB

**PHY 555-556 Relativity and Fields I-II*
** Implications of special relativity from experiment, Lorentz
transformation and the Poincare group, relativistic mechanics of
point particles, field equations in special relativity, features of
spinor-vector tensor field. Noether's theorem and the conservation
equations; introduction to general relativity; differential
geometry; Einstein's field equations and the Newtonian limit; the
Schwarzschild solution and crucial tests; spinor, vector, and
tensor field equations; equations in curved space; cosmology.
LEC

**PHY 581-582 Topics in Advanced Modern Physics
** Introduces graduate students to advanced topics in physics.
Different topics are covered each semester. The topics are selected
based upon faculty interests and the current importance of the
subjects. Faculty members are selected to teach each of these
separate courses on the basis of their expertise in the field.
Examples of topics include modern optics of solids, physics of
semiconductor nanostructures, advanced nonequilibrium statistical
physics, and physics of molecular conductors. Topics are not
duplicated in consecutive years. LEC

**PHY 597 Experimental Techniques
** Lecture course dealing with experimental techniques and
applications to experiments in vacuum generation and measurement;
magnetic measurements; electrical transport; lock-in amplifiers;
bridges; cryogenics; thermal measurements; X-ray diffraction and
spectroscopies; spectroscopic techniques in the visible and
infrared; Raman spectroscopy; and high-pressure production,
measurement, and applications. LEC

**PHY 598 Independent Study
** (1-6 credits)

Designed to suit the specific needs of individual students who want to study certain topics in physics at the graduate level. TUT

**PHY 599 Supervised Teaching
** (1-3 credits)

Registration only by consent of the department chair. Teaching assignments within the department are delegated to each registrant. Assignment is supervised by a member of the department staff. May be taken more than once for credit. TUT

**PHY 600 Graduate Research
** (1-12 credits)

An original investigation to be pursued under the guidance of one or more faculty members. TUT

**PHY 602A Departmental Colloquium
** (1 credit)

**PHY 602B Departmental Colloquium
** (1 credit)

Faculty members present introductory talks every Tuesday at 10am. Mandatory for 1st-year graduate students. LEC