## Physics Graduate Courses

## Course List

Credits 3. 3 Lecture Hours
Hamilton approaches to dynamics; canonical transformation and variational techniques; central force and rigid body motions; the mechanics of small oscillations and continuous

*Prerequisites: PHYS 302 or equivalent; MATH 311 and MATH 412 or equivalents; concurrent registration in PHYS 615.*
Credits 3. 3 Lecture Hours
Boundary-value problems in electrostatics; basic magnetostatics; multipoles; elementary treatment of ponderable media; Maxwell's equations for time-varying fields; energy and momentum of electromagnetic field; Poynting's theorem; gauge

*Prerequisites: PHYS 304 or equivalents; PHYS 615.*
Credits 3. 3 Lecture Hours
Classical statistical mechanics, Maxwell-Boltzmann distribution, and equipartition theorem; quantum statistical mechanics, Bose-Einstein distribution and Fermi-Dirac distribution; applications such as polyatomic gases, blackbody radiation, free electron model for metals, Debye model of vibrations in solids, ideal quantum mechanical gases and Bose-Einstein condensation; if time permits, phase transitions and nonequilibrium statistical

*Prerequisites: PHYS 408 and PHYS 412 or equivalents; PHYS 615.*
Credits 3. 3 Lecture Hours
Orthogonal eigenfunctions with operator and matrix methods applied to solutions of the differential and integral equations of mathematical physics; contour integration, asymptotic expansions of Fourier transforms, the method of stationary phase and generalized functions applied to problems in quantum

*Prerequisites: MATH 311, MATH 407 and MATH 412 or equivalents.*
Credits 3. 3 Lecture Hours
Group theory and its implementation in physical systems; finite groups, Lie groups and Lie algebras; representation theory, symmetries of regular objects, global aspects of Lie groups and classification of Lie

*Prerequisites: PHYS 615 or approval of instructor.*
Credits 3. 3 Lecture Hours
Crystalline structure and symmetry operations; electronic properties in the free electron model with band effects included; lattice vibrations and phonons; thermal properties; additional topics selected by the instructor from: scattering of X-rays, electrons, and neutrons, electrical and thermal transport, magnetism, superconductivity, defects, semiconductor devices, dielectrics, optical

*Prerequisites: PHYS 606 and PHYS 607.*
Credits 3. 3 Lecture Hours
Modern computational methods with emphasis on simulation such as molecular dynamics and Monte Carlo; applications to condensed matter and nuclear many-body physics and to lattice gauge

*Prerequisites: PHYS 408 and PHYS 412 or equivalents; knowledge of any programming language.*
Credits 3. 3 Lecture Hours
Nuclear models, nuclear spectroscopy, nuclear reactions, electromagnetic properties of nuclei; topics of current

*Prerequisite: PHYS 606.*
Credits 3. 3 Lecture Hours
Theoretical foundations of modern nuclear physics; quantum chromodynamics and properties; confinement; chiral symmetry and breaking; quark model and hadron structure; nuclear forces; many-body theory and effective field theory; fundamental symmetries; nuclear reactions and nuclear astrophysics; nuclear collisions and nuclear matter at high temperatures and densities; spectral functions and transport

*Prerequisite: PHYS 606, 615, and 625, or equivalent.*
Credits 3. 3 Lecture Hours
Fundamentals of elementary particle physics; particle classification, symmetry principles, relativistic kinematics and quark models; basics of strong, electromagnetic and weak

*Prerequisite: PHYS 606.*
Credits 3. 3 Lecture Hours
Second quantization, and topics such as plasmons; many-body effects for electrons; electron-phonon interaction; magnetism and magnons; other elementary excitations in solids; BCS theory of superconductivity; interactions of radiation with matter; transport theory in

*Prerequisites: PHYS 617 and PHYS 624.*
Credits 3. 3 Lecture Hours
Continuation of PHYS 631Recent topics in condensed matterPeierl's Instability, Metal-Insulator transition in one-dimensional conductors, solitons, fractionally charged excitations, topological excitations, Normal and Anomalous Quantum Hall Effect, Fractional Statistics, Anyons, Theory of High Temperature Superconductors, Deterministic

*Prerequisites: PHYS 601, PHYS 617 and PHYS 624.*
Credits 3. 3 Lecture Hours
Classical scalar, vector and Dirac fields; second quantization; scattering matrix and perturbation theory; dispersion relations;

*Prerequisite: PHYS 624.*
Credits 3. 3 Lecture Hours
Functional integrals; divergences, regularization and renormalization; non-abelian gauge theories; other topics of current

*Prerequisite: PHYS 634.*
Credits 3. 2 Lecture Hours. 2 Lab Hours
Methods of particle detection and data analysis techniques in experimental particle physics; computational and statistical methods in modern research; next challenges in experimental particle physics; use of statistical and computational techniques, Monte Carlo simulation methods, presenting and documenting scientific findings using

*Prerequisites: PHYS 305 and PHYS 412; working knowledge of C or C++; or approval of instructor.*
Credits 3. 3 Lecture Hours
Overview of observations of galaxies and large-scale structures in the Universe to understand their formation and evolution from theoretical and observational perspectives; galaxy luminosity functions; evolution of stellar populations and chemical enrichment; clusters and

*Prerequisites: PHYS 601; or ASTR 314 and PHYS 302; or approval of instructor. Cross Listing: ASTR 601/PHYS 641.*
Credits 3. 3 Lecture Hours
Theory and practice of obtaining and analyzing astrometric, photometric, spectroscopic, and interferometric measurements of astronomical sources across the electromagnetic spectrum; principles of design, fabrication, assembly, test, deployment, and use of astronomical

*Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross Listing: ASTR 602/PHYS 642.*
Credits 3. 3 Lecture Hours
Theoretical and observational aspects of stellar astrophysics; thermodynamic properties of stellar interiors; energy sources; nuclear processes and burning stages; convective and radiative energy transport; evolutionary models; atmospheres; stability and pulsations; chemical enrichment processes; population

*Prerequisites: PHYS 606 and PHYS 607 or equivalents; or approval of instructor. Cross Listing: ASTR 603/PHYS 643.*
Credits 3. 3 Lecture Hours
Basic principles of modern cosmology and particle physics; general relativity; cosmic inflation; Big Bang nucleosynthesis; expansion of the universe; cosmic microwave background; large-scale structure of the Universe; properties of particles; dark matter; dark

*Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross Listing: ASTR 604/PHYS 644.*
Credits 3. 3 Lecture Hours
Basic nature and structure of constituents of Milky Way galaxy; distribution and motions of stars and gas; origin evolution and distribution of large-scale chemical abundances and kinematic patterns across populations; models of galaxy formation and implications of modern

*Prerequisites: PHYS 601 and PHYS 607 or equivalents; or approval of instructor. Cross Listing: ASTR 605/PHYS 645.*
Credits 3. 3 Lecture Hours
Fundamental radiative processes in stellar and planetary atmospheres; radiative fields; Stokes parameters; Mueller matrix formalism; radiation from moving charges; Compton scattering; plasma effects; atomic structure and radiative transitions; molecular structure and spectra; multiple

*Prerequisites: PHYS 302, PHYS 304, PHYS 408, and PHYS 412 or equivalents; or approval of instructor. Cross Listing: ASTR 606/PHYS 646.*
Credits 3. 3 Lecture Hours
Special relativity; equivalence principle; theory of gravitation; Einstein’s theory of general relativity; classic tests of general relativity; simple black hole and cosmological solutions; global aspects; penrose diagrams; stationary black holes; Hawking

*Prerequisites: PHYS 611 and PHYS 615.*
Credits 3. 3 Lecture Hours
Line widths of spectral lines; laser spectroscopy; optical cooling; trapping of atoms and ions; coherence; pico- and femto-second spectroscopy; spectroscopic

*Prerequisite: Approval of instructor.*
Credits 3. 3 Lecture Hours
Overview of basic concepts: laser physics, optics of semiconductors, heterostructures with quantum confinement and their interaction with light; physical principles of state of the art optoelectronic devices; emerging concepts and technologies: integrated photonics, nanophotonics, plasmonics, metamaterials, terahertz optoelectronics, quantum information processing,

*Prerequisites: Quantum mechanics (PHYS 412 and PHYS 414 or PHYS 606 or equivalent).*
Credits 3. 3 Lecture Hours
M-theory unification of superstring theories into a single eleven-dimensional theory; duality symmetries relating string theories; string geometry; Calabi-Yau manifolds and exceptional holonomy manifolds; flux compactifcations; black holes in string theory; AdS/CFT correspondence; string and M-theory

*Prerequisites: PHYS 651; PHYS 647 recommended.*
Credits 3. 3 Lecture Hours
Core material on supersymmetric field theories and their coupling to supergravity

*Prerequisite: PHYS 634.*
Credits 3. 3 Lecture Hours
The standard model of particle physics in detail; general principles of gauge theories, including spontaneous breaking and applications to Electro-Weak Interactions and Quantum Chromodynamics; extension of the standard model involving Grand Unified Theories (GUT), Supersymmetry (SUSY) and Supergravity (SUGRA)

*Prerequisites: PHYS 624 and PHYS 634.*
Credits 3. 3 Lecture Hours
Basic properties of superconductors, superfluid 4He and superfluid 3He; Bose Einstein condensation, BCS theory and Ginzburg-Landau theory; methods of achieving low temperatures, with labSpecial topics include broken symmetry, neutron stars, ultra-cold atomic gases and tunneling in

*Prerequisite: PHYS 408, PHYS 412, and PHYS 414, or equivalents.*
Credits 3. 2 Lecture Hours. 2 Lab Hours
Theory and techniques for designing and constructing advanced scientific instruments such as spectrometers, cryostats, vacuum systems,; mechanical and electronic shop procedures utilizing the lathe and mill; welding and soldering; drafting and print reading; circuit

*Prerequisite: Approval of instructor.*
Credits 3. 3 Lecture Hours
Ultrafast optics; nonlinear optics; laser physics; active and passive mode-locking; pulse characterization and shaping; applications in industry and research such as time-resolved spectroscopy, coherent control, terahertz spectroscopy, and high-order harmonic

*Prerequisites: PHYS 304, PHYS 305, PHYS 221 and PHYS 412, or equivalents.*
Credits 3. 3 Lecture Hours
Foundation for evolving areas of science and industry; phenomena of nonlinear optics; relevant areas of physics, nonlinear science, and engineering; material requirements; approaches to solving Maxwell's equations in the presence of nonlinear polarization; quantum mechanical descriptions of nonlinear optics

*Prerequisites: PHYS 414; PHYS 305; PHYS 221; graduate classification or approval of instructor.*
Credits 3. 3 Lecture Hours
Introduces the quantum mechanics, quantum gates, quantum circuits and quantum hardware of potential quantum computers; algorithms, potential uses, complexity classes, and evaluation of coherence of these

*Prerequisites: MATH 304; PHYS 208. Cross Listing: ECEN 674/PHYS 674.*
Credit 1. 1 Lecture Hour.
Subjects of current importance; normally required of all graduate students in

Credits 1 to 4. 1 to 4 Other Hours
An experience in a physics-related setting that provides the student with the opportunity for engaged learning through professional involvement and professionalMay be taken for credit up to fourMust be taken on a satisfactory/unsatisfactory

*Prerequisites: Approval of instructor; graduate classification.*
Credits 1 to 9. 1 to 9 Other Hours
Individual problems not related to

*Prerequisite: Approval of instructor.*
Credits 1 to 4. 1 to 4 Lecture Hours. 0 to 4 Lab Hours
Selected topics in an identified area ofMay be repeated for

*Prerequisite: Approval of instructor.*
Credits 1 to 23. 1 to 23 Other Hours
Research toward thesis or

*Prerequisite: Baccalaureate degree in physics or equivalent.*## Astronomy Graduate Courses

## Course List

Credit 1. 1 Lecture Hour.
Introduction to the utility of order of magnitude calculations and the ability to think intuitively; short overviews of basic physical concepts followed by interactive activities and problem solving at theMay be repeated for

*Prerequisite: ASTR 314 or equivalent, or approval of instructor.*
Credits 3. 3 Lecture Hours
Overview of observations of galaxies and large-scale structures in the Universe to understand their formation and evolution from theoretical and observational perspectives; galaxy luminosity functions; evolution of stellar populations and chemical enrichment; clusters and

*Prerequisites: PHYS 601; or ASTR 314 and PHYS 302; or approval of instructor. Cross Listing: PHYS 641/ASTR 601.*
Credits 3. 3 Lecture Hours
Theory and practice of obtaining and analyzing astrometric, photometric, spectroscopic, and interferometric measurements of astronomical sources across the electromagnetic spectrum; principles of design, fabrication, assembly, test, deployment, and use of astronomical

*Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross Listing: PHYS 642/ASTR 602.*
Credits 3. 3 Lecture Hours
Theoretical and observational aspects of stellar astrophysics; thermodynamic properties of stellar interiors; energy sources; nuclear processes and burning stages; convective and radiative energy transport; evolutionary models; atmospheres; stability and pulsations; chemical enrichment processes; population

*Prerequisites: PHYS 606 and PHYS 607 or equivalents; or approval of instructor. Cross Listing: PHYS 643/ASTR 603.*
Credits 3. 3 Lecture Hours
Basic principles of modern cosmology and particle physics; general relativity; cosmic inflation; Big Bang nucleosynthesis; expansion of the universe; cosmic microwave background; large-scale structure of the Universe; properties of particles; dark matter; dark

*Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross Listing: PHYS 644/ASTR 604.*
Credits 3. 3 Lecture Hours
Basic nature and structure of constituents of Milky Way galaxy; distribution and motions of stars and gas; origin evolution and distribution of large-scale chemical abundances and kinematic patterns across populations; models of galaxy formation and implications of modern

*Prerequisites: PHYS 601 and PHYS 607 or equivalents; or approval of instructor. Cross Listing: PHYS 645/ASTR 605.*
Credits 3. 3 Lecture Hours
Fundamental radiative processes in stellar and planetary atmospheres; radiative fields; Stokes parameters; Mueller matrix formalism; radiation from moving charges; Compton scattering; plasma effects; atomic structure and radiative transitions; molecular structure and spectra; multiple

*Prerequisites: PHYS 302, PHYS 304, PHYS 408, and PHYS 412 or equivalents; or approval of instructor. Cross Listing: PHYS 646/ASTR 606.*
Credit 1. 1 Lecture Hour.
Subjects of current importance; normally required of all graduate students inMay be repeated for

Credits 1 to 4. 1 to 4 Other Hours
An experience in an astronomy-related setting that provides the student with the opportunity for engaged learning through professional involvement and professional supervision; may be taken for credit up to four hours; must be taken on a satisfactory/unsatisfactory

*Prerequisites: Approval of instructor; graduate classification.*

*Prerequisite: Approval of instructor.*
Credits 1 to 4. 1 to 4 Lecture Hours
Selected topics in an identified area ofMay be repeated for

*Prerequisite: Approval of instructor.*

*Prerequisite: Baccalaureate degree in physics or equivalent.*