Course # | Title | Credit Hrs | Lab Hrs |
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PHYS 601 | Analytical Mechanics | 3 | 0 |

Hamilton approaches to dynamics; canonical transformation and variational techniques; central force and rigid body motions; the mechanics of small oscillations and continuous systems. Prerequisites: PHYS 302 or equivalent; MATH 311 and MATH 412 or equivalents; concurrent registration in PHYS 615. |
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PHYS 603 | Electromagnetic Theory | 3 | 0 |

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 transformations Prerequisites: PHYS 304 or equivalents; PHYS 615. |
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PHYS 606 | Quantum Mechanics | 3 | 0 |

Schrodinger wave equation, bound states of simple systems, collision theory, representation and expansion theory, matrix formulation, perturbation theory. Prerequisites: PHYS 412 or equivalent; MATH 311 and MATH 412 or equivalents; concurrent registration in PHYS 615. |
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PHYS 607 | Statistical Mechanics | 3 | 0 |

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 mechanics. Prerequisites: PHYS 408 and PHYS 412 or equivalents; PHYS 615. |
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PHYS 611 | Electromagnetic Theory | 3 | 0 |

Continuation of PHYS 603. Propagation, reflection and refraction of electromagnetic waves; wave guides and cavities; interference and diffraction; simple radiating systems; dynamics of relativistic particles and fields; radiation by moving charges. Prerequisites: PHYS 603 |
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PHYS 615 | Methods of Theoretical Physics I | 3 | 0 |

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 mechanics. Prerequisites: MATH 311, MATH 407 and MATH 412 or equivalents. |
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PHYS 616 | Methods of Theoretical Physics II | 3 | 0 |

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 algebras. Prerequisites: PHYS 615 or approval of instructor. |
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PHYS 617 | Physics of the Solid State | 3 | 0 |

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 properties. Prerequisites: PHYS 606 and PHYS 607. |
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PHYS 619 | Modern Computational Physics | 2 | 2 |

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 theories. Prerequisites: PHYS 408 and PHYS 412 or equivalents; knowledge of any programming language. |
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PHYS 624 | Quantum Mechanics | 3 | 0 |

Continuation of PHYS 606. Scattering theory, second quantization, angular momentum theory, approximation methods, application to atomic and nuclear systems, semi-classical radiation theory. Prerequisites: PHYS 606 |
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PHYS 625 | Nuclear Physics | 3 | 0 |

Nuclear models, nuclear spectroscopy, nuclear reactions, electromagnetic properties of nuclei; topics of current interest. Prerequisites: PHYS 606 |
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PHYS 627 | Elementary Particle Physics | 3 | 0 |

Fundamentals of elementary particle physics; particle classification, symmetry principles, relativistic kinematics and quark models; basics of strong, electromagnetic and weak interactions. Prerequisites: PHYS 606. |
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PHYS 631 | Quantum Theory of Solids | 3 | 0 |

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 solids. Prerequisites: PHYS 617 and PHYS 624 |
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PHYS 632 | Condensed Matter Theory | 3 | 0 |

Continuation of PHYS 631. Recent topics in condensed matter theory. Peierl'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 Chaos. Prerequisites: PHYS 601, PHYS 617 and PHYS 624. |
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PHYS 634 | Relativistic Quantum Field Theory | 3 | 0 |

Classical scalar, vector and Dirac fields; second quantization; scattering matrix and perturbation theory; dispersion relations; renormalization. Prerequisites: PHYS 624. |
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PHYS 638 | Quantum Field Theory II | 3 | 0 |

Functional integrals; divergences, regularization and renormalization; non-abelian gauge theories; other topics of current interest. Prerequisites: PHYS 634. |
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PHYS 639 | Methods of Experimental Particle Physics | 3 | 2 |

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 LaTex. Prerequisites: PHYS 305 and PHYS 412; working knowledge of C or C++; or approval of instructor. |
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PHYS 641 | Extragalactic Astronomy | 3 | 0 |

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 AGN. Prerequisites: PHYS 601; or ASTR 314 and PHYS 302; or approval of instructor. Cross-Section: ASTR 601/PHYS 641. |
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PHYS 642 | Astronomical Observing Techniques and Instrumentation | 3 | 0 |

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 instruments. Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross-Section: ASTR 602/PHYS 642. |
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PHYS 643 | Stellar Astrophysics | 3 | 0 |

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 synthesis. Prerequisites: PHYS 606 and PHYS 607 or equivalents; or approval of instructor Cross-Section: ASTR 603/PHYS 643 |
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PHYS 644 | Cosmology | 3 | 0 |

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 energy. Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross-Section: ASTR 604/PHYS 644 |
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PHYS 645 | Galactic Astronomy | 3 | 0 |

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 observations. Prerequisites: PHYS 601 and PHYS 607 or equivalents; or approval of instructor. Cross-Section: ASTR 605/PHYS 645. |
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PHYS 646 | Radiative Transfer | 3 | 0 |

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 scattering. Prerequisites: PHYS 302, PHYS 304, PHYS 408, and PHYS 412 or equivalents; or approval of instructor. |
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PHYS 647 | Gravitational Physics | 3 | 0 |

Special relativity; equivalence principle; theory of gravitation; Einsteinâ€™s theory of general relativity; classic tests of general relativity; simple black hole and cosmological solutions; global aspects; penrose diagrams; stationary black holes; Hawking radiation. Prerequisites: PHYS 611 and PHYS 615. |
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PHYS 648 | Quantum Optics and Laser Physics | 3 | 0 |

Line widths of spectral lines; laser spectroscopy; optical cooling; trapping of atoms and ions; coherence; pico- and femto-second spectroscopy; spectroscopic instrumentation. Prerequisites: Approval of instructor. |
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PHYS 649 | Physics of Optoelectronic Devices | 3 | 0 |

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, etc. Prerequisites: Quantum mechanics (PHYS 412 and PHYS 414 or PHYS 606 or equivalent). |
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PHYS 651 | Superstring Theory I | 3 | 0 |

Basics of string theory, including bosonic string, conformal field theory, strings with worldsheet and space-time supersymmetry, as well as the higher dimensional extended objects called D-branes. Prerequisites: PHYS 634 and PHYS 653; PHYS 647 recommended. |
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PHYS 652 | Superstring Theory II | 3 | 0 |

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 cosmology. Prerequisites: PHYS 651; PHYS 647 recommended. |
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PHYS 653 | Introduction to Supersymmetry and Supergravity | 3 | 0 |

Core material on supersymmetric field theories and their coupling to supergravity theories. Prerequisites: PHYS 634. |
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PHYS 654 | The Standard Model and Beyond | 3 | 0 |

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. |
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PHYS 655 | String Phenomenology | 3 | 0 |

Physical applications of string theory; rudiments of string theory; compactification of extreme dimensions in string theory; free-fermionic formulation; dualities, M-theory, intersection D-Branes, and D-Brane phenomenology; model building. Prerequisites: PHYS 634 and PHYS 651 |
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PHYS 661 | Superfluidity and Superconductivity | 3 | 0 |

Basic properties of superconductors, superfluid 4He and superfluid 3He; Bose Einstein condensation, BCS theory and Ginzburg-Landau theory; methods of achieving low temperatures, with lab tours. Special topics include broken symmetry, neutron stars, ultra-cold atomic gases and tunneling in superconductors. Prerequisites: PHYS 408, PHYS 412, and PHYS 414, or equivalents. |
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PHYS 666 | Scientific Instrument Making | 3 | 2 |

Theory and techniques for designing and constructing advanced scientific instruments such as spectrometers, cryostats, vacuum systems, etc.; mechanical and electronic shop procedures utilizing the lathe and mill; welding and soldering; drafting and print reading; circuit design. Prerequisites: Approval of instructor. |
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PHYS 671 | Ultrafast Laser Physics | 3 | 0 |

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 generation. Prerequisites: PHYS 204, PHYS 205, PHYS 221 and PHYS 412, or equivalents. |
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PHYS 674 | Introduction to Quantum Computing | 3 | 0 |

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 devices. Prerequisites: MATH 304; PHYS 208. Cross-Section: ECEN 674/PHYS 674. |
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PHYS 681 | Seminar | 1 | 0 |

Subjects of current importance; normally required of all graduate students in physics. Prerequisites: None |
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PHYS 685 | Directed Studies | 1–9 | 1–9 |

Individual problems not related to thesis. Prerequisites: Approval of instructor. |
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PHYS 689 | Special Topics in | 1–4 | 1–4 |

Selected topics in an identified area of physics. May be repeated for credit. Prerequisites: Approval of instructor. |
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PHYS 691 | Research | 1–23 | 1–23 |

Research toward thesis or dissertation. Prerequisites: Baccalaureate degree in physics or equivalent. |
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ASTR 600 | Order-of-Magnitude Astrophysics | 1 | 0 |

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 the board. Prerequisites: ASTR 314 or equivalent, or approval of instructor. |
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ASTR 601 | Extragalactic Astronomy | 3 | 0 |

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 AGN. Prerequisites: PHYS 601; or ASTR 314 and PHYS 302; or approval of instructor. Cross-Section: PHYS 641/ASTR 601. |
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ASTR 602 | Astronomical Observing Techniques and Instrumentation | 3 | 0 |

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 instruments. Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross-Section: PHYS 642/ASTR 602. |
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ASTR 603 | Stellar Astrophysics | 3 | 0 |

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 synthesis. Prerequisites: PHYS 606 and PHYS 607 or equivalents; or approval of instructor. Cross-Section: PHYS 643/ASTR 603. |
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ASTR 604 | Cosmology | 3 | 0 |

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 energy. Prerequisites: PHYS 615 or equivalent; or approval of instructor. Cross-Section: PHYS 644/ASTR 604. |
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ASTR 605 | Galactic Astronomy | 3 | 0 |

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 observations. Prerequisites: PHYS 601 and PHYS 607 or equivalents; or approval of instructor. Cross-Section: PHYS 645/ASTR 605. |
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ASTR 606 | Radiative Transfer | 3 | 0 |

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 scattering. Prerequisites: PHYS 302, PHYS 304, PHYS 408, and PHYS 412 or equivalents; or approval of instructor. Cross-Section: PHYS 646/ASTR 606. |
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ASTR 681 | Seminar | 1 | 0 |

Subjects of current importance; normally required of all graduate students in astronomy. May be repeated for credit. Prerequisites: None |
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ASTR 685 | Directed Studies | 1–9 | 1–9 |

Individual problems not related to thesis. Prerequisites: Approval of instructor. |
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ASTR 689 | Special Topics inâ€¦ | 1–4 | 1–4 |

Selected topics in an identified area of astronomy. May be repeated for credit. Prerequisites: Approval of instructor. |
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ASTR 691 | Research | 1–23 | 1–23 |

Research toward thesis or dissertation. Prerequisites: Baccalaureate degree in physics or equivalent. |

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