# Courses

#### Physics

**Note:Students
should check the course descriptions below or
consult their adviser to find which of the sequences
C083 - C084, C085 - C086, C087 - C088, or 0121
- 0122 satisfies the Physics requirements for
their undergraduate major or graduate degree
program. Main campus sections of all four sequences
require students to register for a recitation
section except during summer. Students who are
interested only in satisfying a Core requirement
may combine any initial with any final course
to complete the sequence, provided that the mathematics
requirements are met. Students who have taken
a higher number cannot retake a lower number
for credit, or take C053 - C054 for credit.**

* Unless otherwise
noted, all prerequisite courses must be passed
with a grade of C- or higher. *

**0400. Practicum
in Teaching of Physics (1
s.h.) **

Required of all graduate teaching assistants in their first semester. Consists of supervised instruction in undergraduate laboratories and a weekly two-hour class.

** 0401. Mathematical
Physics I (3
s.h.) **

*Prerequisite: Math 251.*

Tensor analysis; group theory; complex variable theory; partial differential equations; Sturm-Liouville systems; integral transforms; integral equations and Green's function methods.

** 0402. Mathematical
Physics II (3
s.h.) **

Preliminaries; numerical applicability, survey of algorithms, computer modeling, programming considerations; basic numerical methods; numerical linear algebra; numerical solution to ordinary and partial differential equations; molecular dynamics; Monte Carlo simulations; nonlinear methods.

** 0411. Analytical
Mechanics I. (3
s.h.) **

Variational principles, Lagrange's and Hamilton's equations; canonical transformations; small oscillations; dynamics of particles, rigid bodies, strings and membranes; hydrodynamics; chaos in deterministic systems.

** 0421. Electromagnetic
Theory (3
s.h.) **

Boundary value problems of the electrostatic and magnetostatic fields; Maxwell's equations; plane waves at boundaries in dielectric and conducting media; potentials in the Lorentz gauge; Green's functions for wave and Helmholtz equations; multipole radiation; material dispersion; diffraction.

** 0422. Electromagnetic
Theory (3
s.h.) **

*Prerequisite: Physics 421..*

Maxwell stress tensor; relativistic dynamics; Lagrangian formulation of electrodynamics; Noether's theorem; laser resonant cavities and optics of Gaussian beams; Eikonal and geometrical optics limit; synchrotron radiation.

** 0431. Quantum
Mechanics (3
s.h.) **

*Prerequisite: Prerequisites: Physics 401 and 411..*

Fundamental principles of quantum mechanics; relation to classical mechanics; Schroedinger and operator formulations; path integrals; Aharonov-Bohm effect; examples of exact solutions; central forces and angular momentum; scattering theory; Bell's theorem.

** 0432. Quantum
Mechanics (3
s.h.) **

*Prerequisite: Physics 431..*

Matrix mechanics; theory of electron spin; Hilbert space formulation of quantum mechanics; transformation theory; theory of rotations; spin and statistics; stationary approximation methods with application to atomic systems; time-dependent perturbation theory; exponential decay.

** 0501. Statistical
Mechanics (3
s.h.) **

*Prerequisite: Prerequisites: Physics 401 and 431.*

Review of thermodynamics; kinetic theory; statistical definition of entropy; microcanonical, canonical, and grand canonical ensembles; applications to gases, diatomic molecules, magnetic systems, phase transitions; quantum statistics; ideal boson and fermion systems; Bose-Einstein condensation; black body radiation; models of solids; properties of liquid helium.

** 0511. Solid
State Physics (3
s.h.) **

*Prerequisite: Prerequisites: Physics 431-432. Physics 432 may be taken concurrently..*

Crystal and x-ray diffraction; lattice vibrations and thermal properties; energy bands and electronic properties; semiconductors; optical and dielectric properties; para-, ferro-, and antiferromagnetism; introduction to superconductivity and superfluidity.

** 0531. Advanced
Quantum Mechanics (3
s.h.) **

*Prerequisite: Physics 432.*

Properties of quantized radiation field; emission, absorption and scattering of photons by atoms; nonrelativistic Lamb shift; Dirac equation: nonrelativistic limit, Lorentz covariance, exact solutions; hole theory; Lagrangian field theory; field quantization; S-matrix; covariant perturbation theory; Feynman rules for QED with application to various processes.

** 0537. Introduction
to Elementary Particles Physics (3
s.h.) **

*Prerequisite: Physics 432 and 531. Physics 531 may be taken concurrently..*

The Standard Model (SM); gauge invariance, non-Abelian gauge theories, SM Lagrangian, electroweak theory and QCD, Higgs mechanism, confinement; experimental considerations: accelerators and detectors, elastic scattering and form factors, deep inelastic scattering and structure functions; advanced topics in the SM: grand unification, neutrino mass, big bang cosmology, dark matter.

** 0799. Preliminary
Examination Preparation (1-9
s.h.) **

Comprehensive systematic study in preparation for the Ph.D. preliminary examination.

** 0899. Pre-Dissertation
Research (1-9
s.h.) **

*Prerequisite: permission of the faculty member who will supervise the research.*

Preliminary research in a sub-field of physics designed to enable the student to identify a topic suitable for Ph.D. dissertation.

** 0950. Problems
in Experimental Physics (3-9
s.h.) **

*Prerequisite: permission of the faculty member who will direct the research.*

Special problems in the field of experimental physics. Research techniques employed in experimental physics.

** 0951. Problems
in Theoretical Physics (3-9
s.h.) **

*Prerequisite: permission of the faculty member who will direct the research.*

Special problems in the field of theoretical physics. The course is designed to acquaint the student with the research techniques employed in theoretical physics.

** 0999. Ph.D.
Dissertation (1-12
s.h.) **

*Prerequisite: Admission to candidacy.*

Research for the Ph.D. dissertation.