Group theory is an elegant method based on symmetry to understand complex phenomena in nature. This course is to learn the basic principles of Discrete Group Theory and its application to Condensed Matter Physics. Representation theory, characters and basis functions of a group, and group theory in quantum mechanics will be discussed to learn the basic principles, and a few applications will be discussed. Prerequisite: PHYS 3650 or CHEM 3410.

An introduction to quantum computation, a modern discipline looking for ways to harness the power of quantum mechanics to gain exponential speedup of computations and simulations. We will go through the basic algorithms, discuss error correction and various physical platforms suggested for a possible implementation of such a computer. The course assumes a knowledge of linear algebra, basic probability and familiarity with quantum mechanics.

The statics and dynamics of particles and rigid bodies. Discusses the methods of generalized coordinates, the Langrangian, Hamilton-Jacobi equations, action-angle variables, and the relation to quantum theory. Prerequisite: PHYS 3210 and MATH 5220.

Discusses thermodynamics and kinetic theory, and the development of the microcanonical, canonical, and grand canonical ensembles. Includes Bose-Einstein and Fermi-Dirac distributions, techniques for handling interacting many-particle systems, and extensive applications to physical problems.

A consistent mathematical account of the phenomena of electricity and magnetism; electrostatics and magnetostatics; macroscopic media; Maxwell theory; and wave propagation. Prerequisite: PHYS 7250 or instructor permission.

Development of the theory of special relativity, relativistic electrodynamics, radiation from moving charges, classical electron theory, and Lagrangian and Hamiltonian formulations of electrodynamics. Prerequisite: PHYS 7420 or instructor permission.

Introduces the physical basis of quantum mechanics, the Schroedinger equation and the quantum mechanics of one-particle systems, and stationary state problem. Prerequisite: Twelve credits of 3000-level physics courses and MATH 5210, 5220, or instructor permission.

Includes angular momentum theory, techniques of time-dependent perturbation theory, emission and absorption of radiation, systems of identical particles, second quantization, and Hartree-Fock equations. Prerequisite: PHYS 7610 or instructor permission.

Independent research or practical training supervised by a faculty member. May be repeated for credit.

Studies nonlinear optical phenomena; the laser, sum, and difference frequency generation, optical parametric oscillation, and modulation techniques. Prerequisite: PHYS 5310 and exposure to quantum mechanics.