# Graduate courses

## Astronomy

**AST 710**

**Observational Astronomy**

Techniques used in observational astronomy. Students plan and
execute an observing program on a research-grade telescope. Data
reduction and analysis using standard professional software
packages and procedures. Prerequisite: Graduate standing. 3
credits.

**AST 713**

** Astrophysics I **

Laws of physics applied to astrophysical situations. Major
topics include solar physics, element synthesis, stellar
evolution, end states of stars. Prerequisite: Graduate
standing. 3 credits.

**AST 714**

** Astrophysics II**

Laws of physics applied to astrophysical situations. Major
topics include interstellar medium, the Milky Way, active
galaxies, galaxy clusters, the Big Band. Prerequisite: Graduate
standing. 3 credits.

**AST 721**

** Gaseous Nebulae and Active Galactic Nuclei**

Theory and observations used to determine the physical
conditions in gaseous nebulae (H II regions, planetary
nebulae, supernova remnants, etc.) and active galactic
nuclei. Formation of spectra in these regions and analysis to
determine temperatures, density and chemical composition.
Recent observational results will be discussed. Prerequisites:
Graduate standing. 3 credits.

**AST 727**

** Cosmology **

Classical cosmology, the isotropic universe, gravitational
lensing, the age and distance scales, the early universe,
observational cosmology, matter in the universe, galaxies and
their evolution, active galaxies, galaxy formation and
clustering, cosmic background fluctuations. Prerequisites:
Graduate standing. 3 credits.

**AST 731**

** Stellar Atmospheres: Theory, Observation, and Analysis**

Theoretical treatment of stellar atmospheric structure and
radiative transfer, state-of-the-art astrophysical analysis
techniques used to derive atmospheric parameters, current
observational understanding of stellar atmospheres, special
topics in stellar atmospheres (pulsation, chromospheric
activity, etc.), and relevance to galactic and extragalactic
astronomy. Prerequisite: Graduate standing. 3 credits.

**AST 747**

** Interstellar Medium**

Physics of the interstellar medium. Overall chemical, thermal
and physical state of the gas in our galaxy. Astrochemistry,
cosmic rays, radiative transfer, atomic and molecular physics,
thermal equilibrium, and the overall dynamics of the galaxy.
Prerequisite: Graduate standing. 3 credits.

## Physics

**PHYS 700-701**

** Mathematical Physics I, II**

A course to review and introduce various specific mathematical
functions and techniques basic to the study of physics. 3
credits each.

**PHYS 702-703**

**Classical Mechanics I, II**

Newtonian mechanics from an advanced
point of view. Variational principles, Lagrange's and
Hamilton's equations, central forces, rigid body motion,
canonical transformations, Hamilton-Jacobi theory, small
oscillations. 3 credits each.

**PHYS 705**

**Advanced Optical Systems**

Analysis and design of complete optical systems. Light sources
and detectors. Matrix methods. Characteristics and applications
of optical components, including lenses, mirrors fibers,
filters, holographic elements, prisms, and gratings. Apertures,
stops and pupils. Fourier optics. Prerequisite: Consent of
instructor; PHYS
461 or equivalent. 3 credits.

**PHYS 707**

** Condensed Matter Theory I**
Comparison of different band structure calculation methods The
local-density approximation. Relation of structural, transport,
and optical properties to electronic structure. The properties
of metals, insulators and semiconductors. Quantum theory of
magnetism. Prerequisites: PHYS
482/682 , PHYS
483/683 and graduate standing. 3 credits.

**PHYS 708**

** Condensed Matter Theory II**

Lattice dynamics. Electron-photon interaction. Elementary
excitations. Many-body effects in condensed matter
physics. Superconductivity. Phase transitions. Renormalization
group theory. Prerequisites: PHYS 707
and graduate standing. 3 credits.

**PHYS 711-712**

** Electromagnetic Theory I, II**

General properties of vector fields with special application to
electrostatic and magnetostatic fields. Solutions to boundary
value problems. General electromagnetic equations and
conservation theorems. Energy and momentum in the
electromagnetic field. Motions of charged particles in
electromagnetic fields. Electromagnetic theory of radiation,
electrodynamics and special relativity. Reflection, refraction,
and dispersion of electromagnetic waves. Prerequisites: PHYS 422/622
and graduate standing. 3 credits each.

**PHYS 721-722**

** Quantum Theory I, II**

Development of quantum theory. Schroedinger equation, operators,
expectation values. Matrix formalism of Heisenberg, eigenvalue
problems, wave packets, conjugate variables, and uncertainty
principle. Solution of wave equation for square potentials,
harmonic oscillator, and hydrogen-like atoms. Perturbation
theory, both time- independent and time-dependent. Degeneracy,
interaction of matter with radiation, selection
rules. Scattering theory, Born approximation and other
approximation methods, Dirac notation and an introduction to
spin. Prerequisites: PHYS 482/682 and
graduate standing. 3 credits each.

**PHYS 723**

** Quantum Optics**

The properties of light, its creation, and its interaction with
matter explored as quantum-mechanical phenomena. Quantization
of the light field. The quantum theory of coherence. Dissipation
and fluctuations. Light amplification. Nonlinear
optics. Prerequisites: PHYS 622 and PHYS 682/721, or consent of
instructor. 3 credits.

**PHYS 724**

** Laser Applications: Interaction with Matter**

Laser principles. Introduction to laser spectroscopy, isotope
separation, and trace element analysis. Laser induced
fusion. Laser induced plasmas and their radiation.
Prerequisite: Graduate standing or consent of instructor 3
credits.

**PHYS 725**

** Spectroscopy**

A survey of spectroscopy, including absorption and emission
spectroscopy, classical grating spectroscopy, laser
spectroscopy, Raman spectroscopy, and Fourier transform
spectroscopy. Intensities, sensitivity limits, and resolution.
High-resolution and ultra-high-resolution spectroscopy. Photon
correlation spectroscopy. Analysis of spectra. Prerequisites:
PHYS
461/661, PHYS
481/681 and graduate standing. 3 credits.

**PHYS 726**

** Advanced Quantum Theory**

The Dirac equation, hole theory, second quantization, Feynman
diagrams, self-energy, vacuum polarization, renormalization, QED
effects in high-Z atoms, path integral methods in field
theory. Prerequisites: PHYS 722 and
graduate standing. 3 credits.

**PHYS 727**

** Advanced Topics in Semiconductor Devices I**

Topics of current interest in solid state electronic devices:
physics of semiconductors, thermal, optical and electronic
properties of semiconductors, bipolar junction devices, field
effect devices, surface related effects, optoelectronic devices,
semiconductor lasers. Applications and the design of circuits
using these devices. Intended for electrical and electronic
engineers, physicists, and qualified senior students in
engineering and physics. Prerequisites: PHYS
411 and 683, or EEG 414 and 420, and
consent of instructor. 3 credits.

**PHYS 728**
** Applications of Group Theory in Quantum Mechanics**

Abstract group theory, theory of group representations, and
direct product theory. Relationship to quantum mechanics;
applications to atomic, molecular and solid state physics.
Time-reversal symmetry, continuous groups, and the symmetric
group. Prerequisites: PHYS 482/682
and graduate standing. 3 credits.

**PHYS 731**

** Statistical Physics I**

Liouville's theorem, ensembles, Boltzmann and Gibbs
methods. Non-ideal gases, cluster expansions, theory of
condensation. Prerequisites: PHYS 467,
468 and graduate standing. 3 credits.

**PHYS 732**

** Statistical Physics II**

Quantum statistical mechanics, Fermi-Dirac and Bose- Einstein
statistics. Phase transitions. Fluctuations. Prerequisites:
PHYS 731 and graduate standing. 3 credits.

**PHYS 741**

** Atomic and Molecular Theory**

Hartree-Fock theory, many-body perturbation theory, relativistic
effects, energy levels, oscillator strengths, bound-continuum
processes, Born-Oppenheimer approximation for molecules,
symmetries, selection rules. Prerequisites:
PHYS 721 and graduate standing. 3 credits.

**PHYS 771**

** Advanced Topics in Experimental and Theoretical Physics**

This course consists of lectures dealing with experimental and
theoretical aspects of one of the fields listed. It may be
repeated for credit in different fields to a maximum of 12
credits. a) Electrodynamics. b) Fluid mechanics. c) Plasma
physics. d) Quantum theory. e) Nuclear physics. f) Atomic and
molecular physics. g) Electron and ion physics. h) Low-
temperature physics. i) Solid and/or liquid state. k) Cosmic
rays. m) Relativity. n) Elementary particles. p)
Astrophysics. s) Geophysics. t) Applied Optics. Prerequisite:
Depends on particular topic; consult instructor. 3 credits.

**PHYS 777**

** Advanced Special Problems** br>
Special study of advanced topics not specifically covered in
listed courses. Prerequisite: Prior conference with
instructor. 1-3 credits.

**PHYS 796**

** Graduate Seminar**

Students are required to give presentations on topics outside
their Ph.D. work and to discuss the presentations.
Presentations by graduate students will be given on a regularly
scheduled basis, will last about an hour, and will be given at
the non-specialist level. A total of three acceptable
presentations in three different semesters during the six
semesters of enrollment will be required. May be repeated to a
maximum of six credits. Prerequisite: Graduate standing. 1
credit.

**PHYS 797**

** Thesis**

May be repeated but only six credits will be applied to the
student's program. S/F grading only. 1-3 credits.

**PHYS 799**

** Doctoral Dissertation**

Doctoral dissertation. May be repeated. A minimum of 18 credits
are required for the degree. Prerequisites: Qualifying exam and
approval by department. 1-3 credits.

**PHYS 600 Level Courses**

The following upper division undergraduate courses have also
been approved by the Graduate College for possible inclusion in
graduate programs. Prior consent of advisor and department is
required.

- PHYS 622 Electricity and Magnetism
- PHYS 624 Mechanics
- PHYS 631 Nuclear Physics
- PHYS 641 Mathematical Physics
- PHYS 651 Modern Scientific Instrumentation
- PHYS 657 Computational Physics
- PHYS 661 Light and Physical Optics
- PHYS 662 Modern Optics
- PHYS 667 Therrnodynamics
- PHYS 668 Statistical Mechanics
- PHYS 670 Special Topics in Physics
- PHYS 681 Quantum Mechanics I
- PHYS 682 Quantum Mechanics II
- PHYS 683 Solid State Physics
- PHYS 684A Semiconductor Physics
- PHYS 685 Condensed Matter Physics