**GRADUATE COURSES**

**MS Program - Core Courses**

**PHYS 301 - Classical Mechanics**

**Credits: **3.00

3.0; 3 cr. Annually. D'Alembert's principle, variational principles and Euler Lagrange's equations, rigid bodies and small oscillations, Hamilton's mechanics, canonical transformations and Hamilton-Jacobi theory, stability, integrable systems and chaotic motion. More

**PHYS 302 - Statistical Mechanics**

**Credits: **3.00

3.0; 3 cr. Annually. Statistical ensembles, Boltzmann distribution, density matrix, Fermi-Dirac and Bose-Einstein statistics and applications, phase transitions, mean-field theory and applications. More

**PHYS 303 - Electromagnetic Theory **

**Credits: **3.00

3.0; 3 cr. Annually. Boundary-value problems in electrostatics, multipoles, dielectrics, magnetostatics, time-varying fields and Maxwell's equations, and electromagnetic waves. More

**PHYS 305 - Quantum Mechanics **

**Credits: **3.00

3.0; 3 cr. Annually. Hilbert space formulation of quantum mechanics, theory of angular momentum, Euler rotation, addition of angular momenta; symmetries and conservation laws: time reversal, parity, discrete symmetry; path-integral formulation of quantum mechanics, approximation methods, identical particles, elementary scattering theory. More
**PHYS 395A - Comprehensive Exam **

Credits: 0** **

**PHYS 399 - M.S. Thesis**

**Credits: 9**.00

**PhD Program - Core Courses**

**PHYS 301 - Classical Mechanics**

**Credits: **3.00

3.0; 3 cr. Annually. D'Alembert's principle, variational principles and Euler Lagrange's equations, rigid bodies and small oscillations, Hamilton's mechanics, canonical transformations and Hamilton-Jacobi theory, stability, integrable systems and chaotic motion. More

**PHYS 302 - Statistical Mechanics**

**Credits: **3.00

3.0; 3 cr. Annually. Statistical ensembles, Boltzmann distribution, density matrix, Fermi-Dirac and Bose-Einstein statistics and applications, phase transitions, mean-field theory and applications. More

**PHYS 303 - Electromagnetic Theory **

**Credits: **3.00

3.0; 3 cr. Annually. Boundary-value problems in electrostatics, multipoles, dielectrics, magnetostatics, time-varying fields and Maxwell's equations, and electromagnetic waves. More

**PHYS 305 - Quantum Mechanics **

**Credits: **3.00

3.0; 3 cr. Annually. Hilbert space formulation of quantum mechanics, theory of angular momentum, Euler rotation, addition of angular momenta; symmetries and conservation laws: time reversal, parity, discrete symmetry; path-integral formulation of quantum mechanics, approximation methods, identical particles, elementary scattering theory. More

**PHYS 306 - Introduction to Quantum Field Theory **

**Credits: **3.00

3.0; 3 cr. Prerequisite: PHYS 305. Unifying quantum theory and relativity, relativistic quantum mechanics: Klein-Gordon equation, scalar field, second quantization, Dirac's equation and Dirac's field; interaction fields and Feynman Diagrams, quantization of the electromagnetic field. More

**PHYS 307 - Mathematical Methods of Physics **

**Credits: **3.00

3.0; 3 cr. Complex Analysis: Contour integration, conformal representation, Tensor analysis, partial differential equations: heat equation, hypergeometric functions. More

**PHYS 480 – Qualifying Exam Part I: Comprehensive Exam **

Credits: 0

**PHYS 481 - Qualifying Exam Part II: Defense of Thesis Proposal **

Credits: 0

**PHYS 484 - PhD Dissertation **

Credits: 30.00

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**Graduate Elective Courses**

**PHYS 310 - Special Topics **

Credits: 3.00

3.0; 3 cr. May be repeated for credit.

**PHYS 311 - Astrophysics I **

Credits: 3.00

3.0; 3 cr. Stars: Observational properties, population, spectra analysis; stellar matter: atomic processes, equation of state including degeneracy effects; stellar structure: differential equations of stellar structure, radiative and convective energy transport, thermonuclear reactions, nuclear fusion processes; stellar evolution: discussion of the evolutionary phases of stars, stellar stability and pulsations; final stages of stars: supernovae, white dwarfs, neutron stars and black holes; star formation.

**PHYS 312 - Astrophysics II **

**Credits: **3.00

3.0; 3 cr. Close binary stars and accretion disks; physics of interstellar medium: heating, cooling, radiative transfer, physics of interstellar dust grains; dynamics of stellar systems: morphology and dynamics of stellar populations in galaxies, N-body simulation, spiral structure; galaxies: galactic morphology, stellar content of galaxies, general properties of galaxies; galactic evolution: formation of galaxies, stellar populations; expanding universe: cosmological models, primeval fireball, cosmological red shift.

** ****PHYS 313 - Differential Geometry and General Relativity **

Credits: 3.00

3.0; 3 cr. Differential manifolds, tangent vectors, vectors and tensor fields, Lie derivatives, differential forms, Affine connections: covariant derivatives; curvature and torsion tensors, principal of equivalence, Einstein filed equations, Schwarzschild solutions and classical test of general relativity, weak gravitational fields, post-Newtonian approximation.

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**PHYS 314 - Non-equilibrium Statistical Mechanics **

Credits: 3.00

3.0; 3 cr. Prerequisite: PHYS 302. Phenomenological description of transport processes: diffusion, thermal conduction and Brownian motion; general microscopic approaches: Liouville's and Von Neumann's equations; Boltzmann's equation and H-theorem; linear response theory: time-dependent correlation function, Green-Kubo formula, fluctuation-dissipation theorems; Stochastic evolution: Markoff process and master equation, correspondence between Langevin and Fokker-Planck pictures, kinetics of phase transitions.

**PHYS 315 - Particle Cosmology **

Credits: 3.00

3.0; 3 cr. Prerequisite: PHYS 313. Relativistic cosmology: Friedmann equations and their solutions, Hubble diagram; Hot Big Bang model: statistical mechanics of the expanding Universe, microwave background, primordial nucleosynthesis, GUT model for baryon asymmetry; structure formation: Newtonian perturbation theory, gauge invariant relativistic perturbation theory, the large scale structure of the Universe; inflation theory.

**PHYS 316 - Physics of Soft Matter **

**Credits: **3.00

3.0; 3 cr. Prerequisite: PHYS 302. Overview: Liquid crystals, polymers, colloids; statistical mechanics of correlation and order: scattering, structure factor, response function; application to liquid crystals: generalized elasticity, nematic-to-smectic transitions; application to polymers: random and self-voiding walks, coil-to-globe transitions, self-organization of amphiphylic macromolecules; application to colloids and foams.

**PHYS 317 - Group Theory and Symmetry in Physics **

**Credits: **3.00

3.0; 3 cr. Group theory: subgroups, conjugate cases, direct products; group representation: unitary spaces, unitary representations, Shur's Lemma, orthogonality, tensor products, conjugate classes, Young tableaux; group theory and quantum mechanics; point groups: proper rotation group, crystallographic point groups; space groups; continuous groups: transformation groups, generators, Lie groups and algebras, Yacobi identity; application of SU(2); Isospin; tensor products; tensor methods: irreducible representations and symmetry, invariant tensors, Clebsch-Gordon decomposition; application of Lie groups to particle classifications: SU(5) and SO(10).

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**PHYS 318 - Standard Model of Particle Physics **

**Credits: **3.00

3.0; 3 cr. Renormalization and renormalization group, group theory and the quark model, Chiral anomaly, gauge theories and quantization, quantum chromodynamics, spontaneous symmetry braking, electroweak symmetry, standard model of elementary particles, one loop structure and one loop processes.

**PHYS 319 - String Theory**

**Credits: **3.00

3.0; 3 cr. Classical Bosonic string, quantized Bosonic string, conformal field theory, string perturbation theory, classical Fermionic string, quantized Fermionic string, spin structures and superstring partition functions, heterotic strings, D-branes, Orbifolds, Calabi-Yau compactification.

**PHYS 322 - Thin Films Physics **

Credits: 3.00

3.0; 3 cr. Pre- and co-requisite: PHYS 302. Introduction to surface and thin films physics: definitions; importance in basic research; impact on technology and society. Ultra High Vacuum Techniques and Processes: Kinetic theory concepts; Surface preparation procedures; Surface chemical composition: XPS, AES, SIMS, GIXRD. Thin film deposition: Evaporation; Plasma, laser and ion beam processing; Physical and Chemical Vapor Deposition techniques. Surface morphology and physical structure: Surface energy; reconstruction; 2-D lattices; Nucleation and growth of thin films; Microscopy techniques. Theory of surface scattering; Inelastic scattering and dielectric theory; Electron-based techniques: LEED & RHEED; RBS. Epitaxy: atomistic models and rate equations; steps, ripening and interdiffusion; HRXRD. Conduction and Magnetism in thin films; Superconductivity; Optical and mechanical properties.

**PHYS 323 - Plasma Physics **

**Credits: **3.00

3.0; 3 cr. Pre- or co-requisite: PHYS 303. The motion of a single particle (electron or ion) subject to electromagnetic forces; fluid equations for electrons and ions; guiding center description; collisional phenomena occurring in plasmas and the resultant diffusion; propagation of high and low frequency electromagnetic waves in plasmas; description of the plasma as a single fluid; the magneto-hydromagnetic (MHD) equations; MHD instabilities and their effects on the plasma; Applications of plasma physics.

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**PHYS 324 - Electron Paramagnetic Resonance **

**Credits: **3.00

3.0; 3 cr. Pre- or co-requisite: PHYS 305. The electronic Zeeman interaction and the resonance phenomenon, Group theory - the rotation group, the spin-Hamiltonian and the spectrum, the Lanthanide 4f Group, the actinide 5f, Ions of the 3d group in intermediate Ligand Fields and some experimental aspects of EPR.

**PHYS 330 - Principles of Environmental Physics **

Credits: 3.00

3.0; 3 cr. Annually. Pre-requisites: PHYS 204 and PHYS 205 (or equivalent) and some knowledge of calculus. Scope of environmental physics, review of gas laws, transport laws, radiation environment, microclimatology of radiation, momentum transfer, heat transfer, mass transfer, steady state heat balance, crop meteorology, energy for human use, and environmental spectroscopy. *Not open to physics graduate students*.

**PHYS 324 - Electron Paramagnetic Resonance **

**Credits: **3.00

3.0; 3 cr. Pre- or co-requisite: PHYS 305. The electronic Zeeman interaction and the resonance phenomenon, Group theory - the rotation group, the spin-Hamiltonian and the spectrum, the Lanthanide 4f Group, the actinide 5f, Ions of the 3d group in intermediate Ligand Fields and some experimental aspects of EPR.

**PHYS 330 - Principles of Environmental Physics **

Credits: 3.00

3.0; 3 cr. Annually. Pre-requisites: PHYS 204 and PHYS 205 (or equivalent) and some knowledge of calculus. Scope of environmental physics, review of gas laws, transport laws, radiation environment, microclimatology of radiation, momentum transfer, heat transfer, mass transfer, steady state heat balance, crop meteorology, energy for human use, and environmental spectroscopy. *Not open to physics graduate students*.

**PHYS 391 - Graduate Tutorial**

Credits: 1:00-3.00

May not be repeated for credit