128 / FIELDS OF INSTRUCTION 6168. Radiative transfer in planetary atmospheres, from x-ray to radio regions. Discussion of recent studies of the atmo- spheres of Venus, Mars, lupiter, and other planets. AST 6214-Stellar Astrophysics I: Atmosphere (3) Prereq: AST 5210 or equivalent. Theoretical approach to the study of stellar atmosphere. AST 6215--Stellar Astrophysics II: Interior (3) Prereq: AST 6214. Theoretical approach to the study of stellar structures. AST 6216-Stellar Astrophysics III: Evolution (2) Prereq: AST 6215. Theoretical approach to the study of stellar evolution. AST 6305-Electromagnetism in Space (2) Prereq: introduc- tory electromagnetic theory. Derivation and application of electrodynamic relationships in magnetospheric, interplane- tary, interstellar and other astrophysical plasmas. Excitation and propagation of hydromagnetic and electromagnetic waves in such regions. PHS 5255-Molecular Biophysics of Sensory Receptors I (3) Prereq: PHS 4070 or graduate student status in physics or biology. Survey of transduction mechanisms for physical and chemical stimuli in sensory cells and organelles; coupling to synaptic transmissions; vision and hearing. PHS 5256-Molecular Biophysics of Sensory Receptors II (3) Prereq: PHS 5255. Continuation of PHS 5255; receptors for gravity, pressure, electrical and magnetic stimuli, chemical senses, heat, etc. PHS 5257-Seminar in Biophysics (2) PHS 5354-Introduction to Particle Physics (2) Prereq: per- mission of instructor. Descriptive survey of particle phenom- ena 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, lat- tice modes, electronic states, thermal, optical and magnetic properties. PHS 6156-Computer Methods in Physics (2) Prereq: PHY 5624 and elementary FORTRAN. Numerical techniques use- ful in the solution of physical problems. Appropriate utili- zation of computation; aspects of contemporary methods in computational physics, especially advanced version of FORTRAN. PHS 6225-Quantum Theory of Matter I (3) Prereq: PHY 4605 or CHM 6470. Application of quantum mechanics to electronic structure of atoms, molecules, and solids; Hartree- Fock, semi-empirical, and local density schemes, computa- tional methods. Correlation problem, density matrices, modern many-body perturbation theory. PHS 6247-Chemical Physics (3) Prereq: PHY 6645 or per- 'mission of instructor. Intermolecular forces, molecular dy- namics; electromagnetic properties of molecular systems; solid surfaces; theoretical and computation methods. PHS 6326-Nuclear Physics (2) Prereq: PHY 6645. Nuclear systematics. Independent particle model of nucleus, velocity-dependent potentials, resonances, doorway states, direct reactions, nuclear forces and nuclear structure. PHS 6391-Seminar in Nuclear Physics (1; max: 13) PHS 6392-Seminar in Particle Physics (1; max: 12) PHS 6426-Physics of Solids I (3) Prereq: PHY 6536. Sym- metry properties, energy bands, transport and optical prop- erties, electron dynamics; PHS 6493-Seminar in Experimental Ultralow Temperature Physics (1; max: 10) Recent developments in ultra-low tem- perature experiments on condensed systems. PHS 6606-Special and General Relativity (3) Prereq: PHY 6246. Tensor analysis, invariance, Einstein's special and gen- eral theories of, relativity; relativistic cosmology. PHS 7209-Theory of Optical Spectra (2) Prereq: PHY 6646. Theory of angular momentum applied to the structure and spectra 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. Mathemat- ical techniques used in atomic and molecular theory. One- electron approximation and the many-fermion problem. Selected advanced topics. PHS 7427-Physics of Solids 11 (3) Prereq: PHS 6426. Lattice dynamics, electron phonon interaction, magnetism. PHY 5031-Conceptual Problems in Physics (3) Prereq: in- productions to wave functions, Schroedinger's equation, and Newton's laws. Schroedinger's cat and other paradoxes. Wave function of the universe. Quantum mechanical meas- urements. How waves can sometimes look like particles. How a statistical nature arises from a deterministic wave function. Why we remember yesterday and not tomorrow. Mach's principle and the motivation of relativity. 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: per- mission of instructor. Assigned reading and problems pro- gram, special topics, or development of special experimental or theoretical problems. Work selected according to student's needs and interests. PHY 6077-Biophysics of Nerves and Nervous Systems (4) Prereq: MAP 3302, PHY 4712L, or EEL 3135, PHY 3527. Analy- sis 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 formulation and special relativity. Hamiltonian mechanics, canonical transforms and Hamilton-lacobi theories, action angle variables, rigid rotators, normal modes, mechanics of continuous media. Fluid mechanics. PHY 6346-Electromagnetic Theory I (4) Electrostatics, mag- netostatics, Maxwell's equations, wave propagation, radi- ation and diffraction theory, magnetohydrodynamics, co- variance 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 hier- archy, 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 tem- peratures. Experimental and theoretical aspects of quantum fluids and solids and of superconductivity. PHY 6645-Quantum Mechanics I (3) Prereq: MAS 5156, MAP 5304, PHY 4605. Schroedinger equation, uncertainty principle, statistical interpretations. Abstract formulation. Connection with classical mechanics, WKB approximation. Applications to simple systems. PHY 6646-Quantum Mechanics II (3) Prereq: PHY 6645. Symmetries and invariances, spin and perturbative approx- imations. Scattering theory. PHY 6648-Relativistic Quantum Fields I (3) Prereq: PHY 6646. Inhomogeneous Lorentz group. Relativistic wave equa- tions for spin 0, /2, 1. Feynman propagators and the electron- photon interactions. Diagrammatic techniques, Dyson equa- tion. PHY 6905-Individual Work (2-4; max: 10) Treatment of an experimental or theoretical problem or topic assigned on basis of student's needs and interests. PHY 6910-Supervised Research (1-5; max: 5) S/U. PHY 6920-Departmental Colloquium (1) Summary presen- tation of contemporary topics by visiting and local re- searchers. S/U. PHY 6935-Seminar in Modern Physics (1; max: 13) Presenta- tion, review, and commentary on recent developments in physics research. S/U. PHY 6940-Supervised Teaching (1-5; max: 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 applica- tions of current interest at the forefront of one or more spe- cialities in theoretical physics. PHY 7098-Advanced Topics in Experimental Physics (3; max: 10) Special studies in experimental methods, in- strumentation, and data analysis of current interest at the forefront of one or more specialties in experimental physics. PHY 7669-Relativistic Quantum Fields II (3) Prereq: PHY 6648. Applications; continuation of PHY 6648.