Physics (PHY)

PHY 5155  Advanced In-Situ Instrumentation Techniques  (1)  
Cross-listed as ENV 5155  
Pre-requisite(s): PHY 4155, 4350, and concurrent enrollment in 4351  

Computer modeling and instrument design and development of detectors for the in-situ measurement of physical and dynamic characteristics of dust in interplanetary space and planetary ring systems.

PHY 5180  Graduate Physics Colloquium  (1)  
Pre-requisite(s): Enrollment in graduate program  

Students are required to register for the weekly colloquium and to present papers. No more than three semester hours may be counted on a master's degree and no more than six may be counted on the Ph.D. degree.

PHY 5199  Non-Thesis Degree Completion  (1)  

To fulfill requirements for non-thesis master's students who need to complete final degree requirements other than coursework during their last semester. This may include such things as a comprehensive examination, oral examination, or foreign language requirement. Students are required to be registered during the semester they graduate.

PHY 5320  Classical Mechanics I  (3)  
Pre-requisite(s): PHY 4322  

Elementary mechanics, variational principles, Lagrange's equations, two-body central forces, scattering, kinematics, rotations, rigid body motion, and Hamilton's equations of motion; special relativity, including covariant Lagrangian formulation.

PHY 5321  Classical Mechanics II  (3)  
Pre-requisite(s): PHY 5320  

Small oscillations; canonical transformations; Hamilton-Jacobi theory; canonical perturbation theory; Lagrangian and Hamiltonian densities, critical points, Lyapunov exponents, bifurcation, chaos, noise, and other topics in non-linear dynamics.

PHY 5330  Electromagnetic Theory I  (3)  
Pre-requisite(s): PHY 4322 and 5360 (concurrently)  

Advanced electrostatics and magnetostatics, boundary-value problems, time-varying fields, conservation laws, plane electromagnetic waves, wave guides and resonant cavities, and simple radiating systems and diffraction.

PHY 5331  Electromagnetic Theory II  (3)  
Pre-requisite(s): PHY 5330  

Magnetohydrodynamics and plasma physics, advanced relativistic electrodynamics, collisions of charged particles, scattering, Lienard-Wiechert potentials and radiation by moving charges, Bremsstrahlung, the method of virtual quanta, dynamic multipole fields, radiation damping, self-fields of a particle, and scattering and absorption by a bound system.

PHY 5340  Statistical Mechanics  (3)  
Pre-requisite(s): PHY 4340 and credit or concurrent registration in PHY 5360  

Probability, statistical methods, classical and quantum statistical mechanics, postulates, ensembles, ideal systems, real gases, cluster expansions, liquid helium, and phase transitions.

PHY 5342  Solid State Physics  (3)  
Pre-requisite(s): PHY 4372 and 5370  

Theory of solids: crystal symmetry, lattice dynamics, band theory, lattice defects, impurity states. Applications to the thermal, magnetic, and electrical properties of solids.

PHY 5350  Fundamentals of Stellar Structure and Evolution  (3)  
Pre-requisite(s): PHY 4350 and 4351  

Stellar structure, hydrostatic equilibrium, radiative transfer, stellar surface phenomena, and corona interactions. Cosmical electrodynamics and nuclear reactions in astrophysics, basic stellar evolution, variable stars, degenerate cores, white dwarfs, and neutron stars.

PHY 5351  General Relativity  (3)  
Pre-requisite(s): PHY 5360  

A systematic exposition of Einstein's general theory of relativity, with emphasis on applications to astrophysical and cosmological problems.

PHY 5352  Space Plasma Physics  (3)  
Pre-requisite(s): PHY 4322 and 5360 (concurrently) or consent of the instructor  

Space plasma and electromagnetic field phenomena; the guiding center drift equation (with applications); adiabatic invariant theory; the basic equations of magnetohydrodynamics; plasma convection, currents (including Chapman-Ferraro currents and ring currents), oscillations; magnetohydrodynamic boundaries, diffusion, waves, shocks, and instabilities.

PHY 5360  Mathematical Physics I  (3)  
Pre-requisite(s): MTH 2321 and 3325  

Theory of analytical functions, Laplace and Fourier transforms, Fourier series, theory of distributions, ordinary differential equations, eigenvalue problems, special functions defined by eigenvalue problems, Green's functions, partial differential equations, radiation problems and scattering problems.

PHY 5361  Mathematical Physics II  (3)  
Pre-requisite(s): PHY 5360 or consent of instructor  

Conformal mapping, electrostatic problems, dispersion relations, asymptotic expansions, method of steepest descent, calculus of variations, Rayleigh-Ritz principle, finite-dimensional vector spaces, matrix theory, orthogonal transformations, normal coordinates, Hilbert vector spaces, unitary transformations, resolvent operators, operator calculus, integral equations, and approximate methods for solution of boundary value problems.

PHY 5370  Quantum Mechanics I  (3)  

Schrodinger equation, eigenfunctions and eigenvalues, harmonic oscillator, and hydrogen atom. WKB approximation, collision theory, matrix formulation of quantum mechanics, transformation theory, and representation theory, including Schrdinger and Heisenberg picture.

PHY 5371  Quantum Mechanics II  (3)  
Pre-requisite(s): PHY 5370  

Angular momentum algebra, Pauli Principle, many-particle systems, conservation laws, symmetry principles, time-dependent approximation methods, time-independent approximation methods, atoms, molecules, and relativistic wave equations.

PHY 5381  Special Topics in Physics  (3)  
Pre-requisite(s): Consent of instructor and the departmental adviser  

Selected topics in physics. May be repeated once with change of content.

PHY 5V95  Graduate Research  (1-9)  
Pre-requisite(s): Consent of student's research supervisor and departmental adviser  

The research is intended for those students who have not yet passed the Ph.D. qualifying examination and who have not yet selected a Ph.D. dissertation topic. May be repeated for no more than twelve semester hours of credit. (Not to be counted on master's degree). (0-9) or

PHY 5V99  Thesis  (1-6)  
Pre-requisite(s): Twelve semester hours of graduate work and consent of the department  
PHY 6350  Relativistic Astrophysics  (3)  
Pre-requisite(s): PHY 5350 and 5351  

Relativistic astrophysics, and the final stages of stellar evolution; supernovae, binary stars, accretion disks, pulsars; extragalactic radio sources; active galactic nuclei; compact objects.

PHY 6351  Cosmology  (3)  
Pre-requisite(s): PHY 5350 and 5351  

Cosmology: extragalactic distance determinations; relativist relativistic cosmological models; galaxy formation and clustering; thermal history of the universe, microwave background; cosmological tests, advanced topics in general relativity.

PHY 6352  High-Energy Astrophysics  (3)  
Pre-requisite(s): PHY 5330, 5340, 5360 and 5370  

Radiative transfer, scattering, the interaction of matter and radiation, atomic and molecular structure, magnetodrodynamics and plasma physics, accretion disks and spiral density waves.

PHY 6370  Advanced Quantum Mechanics  (3)  
Pre-requisite(s): PHY 5371  

Identical particles and symmetry, self-consistent field theory, spin and angular momenta, electromagnetic interactions, semiclassical radiation theory, many-body perturbation theory, topics in scattering theory. Applications to atomic, molecular, and nuclear systems.

PHY 6371  Relativistic Quantum Mechanics  (3)  
Pre-requisite(s): PHY 5371  

Klein-Gordon equation, Dirac equation, solutions of Dirac equation for scattering and bound states, non-relativistic limits of Dirac solutions, hole theory, Feynman diagrams, quantum electrodynamics, renormalization procedures, non-electromagnetic processes, solutions.

PHY 6372  Elementary Particle Physics  (3)  
Pre-requisite(s): PHY 5371  

Basic concepts of elementary particle physics; symmetries, groups, and invariance principles; hadron-hadron interactions; static quark model of hadrons; weak interactions; brief introduction to quantum chromodynamics.

PHY 6373  Quantum Field Theory I  (3)  
Pre-requisite(s): PHY 4374, 5370, 5371, or 6371; or consent of instructor  

Second quantization of free fields; second quantization of interacting fields; elementary processes - Q.E.D. and non-Q.E.D. examples; perturbation theory methods for higher order processes; renormalization theory; path integral realization of quantum field theory.

PHY 6374  Quantum Field Theory II  (3)  
Pre-requisite(s): PHY 6373  

Modern formulation of quantum field theory: quantization and renormalization of gauge theories, both Abelian and non-Abelian; third quantization; applications in the Q.E.D. example; SU2L XU1 theory; quantum chromodynamics; grand unified theories; theories of everything including quantum gravity such as the superstring theory.

PHY 6375  Quantum Field Theory III  (3)  
Pre-requisite(s): PHY 6374  

Continuation of 6374: Detailed theory of higher order corrections to Standard Model and beyond the Standard Model processes; detailed presentation of recent developments in superunification, superstring/M theory, superstring field theory, and other approaches to quantum general relativity, depending on instructor. May be repeated for credit by instructor for a maximum of nine credits.

PHY 6380  Special Topics in Advanced Physics  (3)  
Pre-requisite(s): Consent of student's graduate committee  

Special topics which are related to specialized fields of research sponsored in the department. May be repeated once with change of content.

PHY 6V00  Dissertation Proposal  (1-9)  
Pre-requisite(s): Permission of Physics Graduate Program Director  

Research for doctoral students studying for preliminary examinations or preparing their dissertation topic proposals.

PHY 6V99  Dissertation  (1-12)  
Pre-requisite(s): Consent of the student's supervisory committee and admission to candidacy  

A minimum of twelve semester hours is required.