120 / FIELDS OF INSTRUCTION of x-ray analysis of protein, nucleic acid and viruses; introduc- tion to crystal symmetry, reciprocal lattices, x-ray scattering by crystals. PHS 5266-Biocrystallography II (3) Prereq: PHS 5265. Theory and practice of x-ray analysis of macromolecular structures: Fourier-transforms, anomalous dispersions, the phase problem, structure refinement, experimental methods. PHS 5304-Intermediate Nuclear Physics (2) Prereq: PHY4605. Nuclear constitution and isotopes, phenomenology of radioac- tivity and nuclear reactions. Nuclear symmetries and models. Nuclear many-body problem. PHS 5331L-Laboratory Techniques in Nuclear Physics (1) Prereq: PHS 4330L. Coreq: PHS 5304. Topics in experimental methods and instrumentation at an intermediate level. PHS 5354-Introduction to Particle Physics (2) Prereq: permis- sion of instructor. Descriptive survey of particle phenomena and states; conserved quantities and quantum numbers, invariance principles. PHS 5404-Introductory Solid-State Physics (2) Prereq: PHY 4605 or permission of instructor. Descriptive survey of solid- state phenomena and basic methods. Crystal structure, lattice modes, electronic states, thermal, optical and magnetic properties. PHS 6156-Computer Methods in Physics (2) Prereq: PHY 5624 and elementary FORTRAN. Numerical techniques useful in the solution of physical problems. Appropriate utilization of com-, putation; aspects of contemporary methods in computational physics, especially advanced version of FORTRAN. PHS 6225-Quantum Theory of Matter 1 (3) Prereq: PHY4605 or CHM 6470. Application of quantum mechanics to electronic structure of atoms, molecules, and solids; Hartree-Fock, semi- empirical, and local density schemes, computational methods. Correlation problem, density matrices, modern many-body per-- turbation theory. PHS 6247-Chemical Physics (2) Prereq: PHY 6536 or permis- sion of instructor. Intermolecular forces, molecular dynamics; electromagnetic properties of molecular systems; solid surfaces; theoretical and computation methods. May be repeated for credit. PHS 6326-Nuclear Physics (2) Prereq: PHY 6645. Nuclear systematics. Independent particle model of nucleus, velocity- dependent potentials, resonances, doorway states, direct reac- tions, nuclear forces and nuclear structure. PHS 6391-Seminar in Nuclear Physics (1; maxi 13) PHS 6392-Seminar in Particle Physics (1; max: 12) PHS 6426-Physics of Solids I (3) Prereq: PHY6536. Symmetry properties, energy bands, transport and optical properties, elec- tron dynamics. PHS 6493-Seminar in Experimental Ultralow Temperature Physics (1; max: 10) Recent developments in ultra-low temperature experiments on condensed systems. PHS 6606-Special and General Relativity (4) Prereq: PHY 6246. Tensor analysis, invariance, Einstein's special and general theories of relativity; relativistic cosmology. PHS 7209-Theory of Optical Spectra (2) Prereq: PHY 6646. Theory of angular momentum applied to the structure and spec- tra of atoms. PHS 7226-Quantum Theory of Matter II (3) Prereq: PHS 6225. Continuation of PHS 6225. PHS 7228-Special Topics in Theory of Atomic and Molecular Structure (2; max: 6) Prereq: PHS 7226. Mathematical techni- ques used in atomic and molecular theory. One-electron ap- proximation and the many-fermion problem. Selected advanced topics. PHS 7236-Atomic and Molecular Collisions 1 (2) Prereq: PHY 6646. Classical and quantum theory of atomic and molecular collisions. Approximation methods. Recent experimental results. PHS 7237-Atomic and Molecular Collisions II (2) Prereq: PHS 7236. Continuation of PHS 7236. PHS 7327-Nuclear Spectroscopy (2) Prereq: PHS 6326. Nuclear spectra and nuclear interactions. PHS 7357-High Energy Theory I (2) Prereq: PHY 6648. Par- ticles and fields, electro-weak interactions, strong interactions. PHS 7358-High Energy Theory II (2) Prereq: PHS 7357. Chromodynamics, unified theory, other contemporary topics. PHS 7427-Physics of Solids II (3) Prereq: PHS 6426. Lattice dynamics, electron phonon interaction, magnetism. PHY 5722C-Electronics I (3) Prereq: PHY 3321. Experiments involving solid-state conduction, amplifiers, detectors, and digital logic. PHY 5723C-Electronics II (2) Prereq: PHY 5722C. Continua- tion of PHY 5722C. PHY 5905-Individual Work (2-4; max: 10) Prereq: permission of instructor. Assigned reading and problems program, special topics, or development of special experimental or theoretical problems. Work selected according to students needs and interests. PHY 6077-Biophysics of Nerves and Nervous Systems (4) Prereq: MAP 3302, PHY 4712L or EEL 3135, PHY 3521. Analysis of the electrical signals of'peripheral nerves and the brain; chemical, electrical, hydrodynamic, and solid-state models of atomic and synaptic nerve transmission. PHY 6246-Classical Mechanics (3) Review of Lagrangian for- mulation and special relativity. Hamiltonian mechanics, canonical transforms and Hamilton-Jacobi theories, action angle variables, rigid rotators, normal modes, mechanics of continuous media. Fluid mechanics. PHY 6346-Electromagnetic Theory I (4) Electrostatics, magnetostatics, Maxwell's equations, wave propagation, radia- tion and diffraction theory, magnetohydrodynamics, covariance of electromagnetism. PHY 6347-Electromagnetic Theory II (2) Prereq: PHY 6346. Continuation of PHY 6346. PHY 6536-Statistical Physics I (3) Prereq: PHY 6645 and PHY 6246. Classical and quantum statistical mechanics; phase space, ergodic theory, Liouville equation, BBGKY hierarchy, Boltzmann equation, equilibrium ensembles, density matrices; applications. PHY 6537-Statistical Physics II (2) Prereq: PHY 6536. Con- tinuation of PHY 6536. PHY 6556-Low Temperature Physics (2) Prereq: PHY 6645. Techniques for establishing and measuring low temperatures. Experimental and theoretical aspects of quantum fluids and solids and of superconductivity. PHY 6645-Quantum Mechanics 1 (3) Prereq: MAS 5156, MAP 5304, PHY4605. Schroedinger equation, uncertainty principle, statistical interpretations. Abstract formulation. Connection with classical mechanics, WKB approximation. Applications to sim- ple systems. PHY 6646-Quantum Mechanics II (3) Prereq: PHY 6645. Sym- metries and invariances, spin and perturbative approximations. Scattering theory. PHY 6648-Relativistic Quantum Fields I (3) Prereq: PHY 6646. Inhomogeneous Lorentz group. Relativistic wave equations for spin 0, /2, 1. Feynman propagators and the electronphoton in- teractions. Diagrammatic techniques, Dyson equation. PHY 6905-Individual Work (2-4; max: 10) Treatment of an experimental or theoretical problem or topic assigned on basis of student need and interest. PHY 6910-Supervised Research (1-5) S/U. PHY 6920-Departmental Colloquium (1) Summary presen- tation of contemporary topics by visiting and local researchers. S/U. PHY 6935-Seminar in Modern Physics (1; max: 13) Presen- tation, review, and commentary on recent developments in physics research. S/U. PHY 6940-Supervised Teaching (1-5) S/U. PHY 6971-Research for Master's Thesis (1-15) S/U. PHY 7097-Advanced Topics in Theoretical Physics (3; max: 10) Special studies in mathematical methods and applications of current interest at the forefront of one or more specialities in theoretical physics. PHY 7098-Advanced Topics in Experimental Physics (3; max: 10) Special studies in experimental methods, instrumentation, and data analysis of current interest at the forefront of one or more specialties in experimental physics. PHY 7538-Advanced Statistical Mechanics (2) Prereq: PHY 6537. Current topics in equilibrium and non-equilibrium statistical mechanics. PHY 7669-Relativistic Quantum Fields II (3) Prereq: PHY 6648. Applications; continuation of PHY 6648. PHY 7939-Special Topics (2; max: 12) Assigned reading pro- gram, seminar, or lecture series in rapidly advancing specialty of physics. PHY 7980-Research for Doctoral Dissertation (1-15) S/U.