502 Advanced Optics (3, 2 years, FaSp) Interaction of light and matter; laser oscillation condition; optical resonators; spectroscopy; pumping mechanisms; characteristics of dielectric, semiconductor, gas, and liquid lasers; topics in nonlinear optics.

504ab Advanced Mechanics (a: 3, Fa; b: 3, Irregular) a: Newtonian formulation of dynamics; Hamilton's principle; Lagrangian formulation; rigid body motion; Hamiltonian formulation; Hamilton-Jacobi theory; vibrations. b: Applications of theoretical mechanics; stresses and strains; hydrodynamics.

508ab Advanced Electricity and Magnetism (a: 3, Sp; b: 3, Fa) a: Electrostatics, boundary value problems, multipole expansions, microscopic models of matter, magnetostatics. b: Maxwell's equations, potentials and gauge transformations; electromagnetic waves; wave guides; electromagnetic radiation; special relativity.

510ab Methods of Theoretical Physics (a: 3, Fa; b: 3, Sp) a: Vector and tensor analysis; curvilinear coordinates; convergence of series; asymptotic series; complete sets; Dirac delta function; Fourier and Laplace transforms; Legendre polynomials and spherical harmonics. b: Bessel functions; numerical analysis; matrices and determinants; complex variables; differential equations; special functions.

514 Methods of Experimental Physics (3) Techniques of general utility in contemporary physics research, with emphasis on the use of commercially available instrumentation.

518ab Thermodynamics and Statistical Mechanics (a: 3, Fa; b: 3, Sp) a: Principles of, and relations between, thermodynamics and statistical mechanics; ensembles, partition function formalism; quantum statistics of non-interacting particles; fluctuations. b: Advanced applications to systems of interacting particles, low temperature phenomena, magnetism, and transport phenomena.

530 Relativity (3, Irregular) Fundamentals of the special theory and applications to classical and quantum physics; the principle of equivalence; tensor analysis and Einstein's theory of gravitation; relativistic cosmology. Recommended preparation: PHYS 504a PHYS 508a.

540 Solid State Physics (3, Fa) Fundamental concepts and techniques in solid state physics; electron gas at metallic densities; semiclassical transport; crystallography; band structure; phonons; screening; superconductivity; magnetic ordering. Recommended preparation. PHYS 518a, PHYS 558a.

556 Atomic and Molecular Spectroscopy (3, Irregular) Angular momentum coupling; atomic and molecular structures; spectra of single and multi-electron systems; configuration interactions; interactions with electromagnetic fields; ionization and dissociation; applications Recommended preparation: PHYS 558a.

558ab Quantum Mechanics (a: 3, Sp; b: 3, Fa) a: General formulation of quantum mechanics with applications; theory of measurement; exactly solvable problems; angular momentum formalism. b: Approximation schemes and applications to atomic and molecular physics and scattering theory; identical particles; electromagnetic properties of atoms.

590 Directed Research (1-12) Research leading to the master's degree. Maximum units which may be applied to the degree to be determined by the department. Graded CR/NC.

594abz Master's Thesis (2-2-0) Credit on acceptance of thesis. Graded IP/CR/NC.

640ab Advanced Condensed Matter Physics (a: 3, Sp; b: 3, Fa) a: Magnetism, magnons; superconductivity; transport phenomena; many-body effects; interacting electron gas; Hartree-Fock theory; neutron and x-ray scattering; and other selected topics. b: Topics will be chosen from the following: polaritons; plasmons; band structure; semiconductors; excitons; resonance techniques; Kondo effect; Josephson effect; charge-density-waves; optical properties; localization; defects; solitons. Recommended preparation: PHYS 540, PHYS 558b.

668 Advanced Quantum Mechanics (3, Sp) Relativistic wave equations; second quantization of Klein-Gordon, Dirac and Maxwell fields; applications in quantum electrodynamics and condensed matter physics. Recommended preparation: PHYS 558b.

669ab Group Theory and Symmetries in Physics (3-3, Irregular) a: Abstract group theory; representation theory; point groups; selection rules; crystal tensors; molecular vibrations; rotation group; SU(2); Wigner-Eckart theorem; crystal-field splitting; time-reversal symmetry; gauge invariance; SU(3) and quarks. b: Application of group theory in field theory and particle physics: Lie groups and representations, Young tableaux, Dynkin diagrams, Poincare group, classical groups and supergroups, gauge theories. Recommended preparation: PHYS 558b.

670 High Energy Physics (3, Irregular) Elementary particles and the fundamental forces acting on them. Quarks, leptons, symmetries, gauge invariance, spontaneously broken symmetry, electroweak theory, quantum chromodynamics grand unified theory, strings. Recommended preparation: PHYS 668.

678 Relativistic Quantum Field Theory (3, Irregular) Computational methods in relativistic quantum field theory: Feynman path integral, covariant perturbation theory, regularization, renormalization group, and non-perturbative techniques. Recommended preparation: PHYS 668.

679 Superstring Theory (3, Irregular) Introduction to superstring theory: Polyakov path integral, light-cone quantization, conformal field theory, vacuum configurations, Kaluza-Klein four dimensional compactification, and model building. Recommended preparation: PHYS 678.

710 Selected Topics in Experimental Physics (3, max 6) Course content will vary yearly with current interest. Topics covered may include superconducting quantum interference devices, scanning tunneling microscopy, and laser cooling and trapping of single atoms. (Duplicates credit in former PHYS 673)

720 Selected Topics in Theoretical Physics (3, max 6) Course content will vary yearly with current interest. Topics covered may include field theory, many body theory, Green's functions, dispersion theory, and group theory. (Duplicates credit in former PHYS 672)

730 Selected Topics in Particle Physics (3, max 6) Various advanced phases of particle physics. Content will vary yearly; emphasis on superstring theories, advanced topics in quantum gravity, and field theory. Recommended preparation: PHYS 678.

740 Selected Topics in Condensed Matter Physics (3, max 6) Course content will vary yearly with current interest. Topics covered may include theory of superconductivity, high temperature superconductivity, Green's functions in condensed matter physics, magnetism and transport in disordered metals.

790 Research (1-12) Research leading to the doctorate. Maximum units which may be applied to the degree to be determined by the department. Graded CR/NC.

794abcdz Doctoral Dissertation (2-2-2-2-0) Credit on acceptance of dissertation. Graded IP/CR/NC.

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