Also see: the Physics Course Descriptions on Case's General Bulletin Site

**PHYS 413. Classical and Statistical Mechanics I (3).** An integrated approach to classical and statistical mechanics. Lagrangian and Hamiltonian formulations, conservation laws, kinematics and dynamics, Poisson brackets, continuous media, derivation of laws of thermodynamics, the development of the partition function. To be followed by PHYS 414.

**PHYS 414. Classical and Statistical Mechanics II (3).** A continuation of PHYS 413. Noninteracting systems, statistical mechanics of solids, liquids, gases, fluctuations, irreversible processes, phase transformations.

**PHYS 423. Classical Electromagnetism (3).** Electromagnetic theory in the classical limit. Gauge invariance and special relativity. Applications to electrostatic, magnetostatic, and radiation problems using advanced mathematical techniques. Dielectric, magnetic, and conducting materials. Wave propagation in open and confined geometries. Radiation from accelerating charges. Cherenkov, synchrotron, and transition radiation.

**PHYS 426. Contemporary Physical Optics (3).** See PHYS 326. Additional work required.

**
PHYS 427. Quantum Electronics. (3)**
An introduction to theoretical and practical quantum electronics covering
topics in quantum optics, laser physics, and nonlinear optics. Topics to be
addressed include the physics of two-level quantum systems including the
density matrix formalism, rate equations, and semiclassical radiation theory;
laser operation including oscillation, gain, resonator optics, transverse and
longitudinal modes, Q-switching, mode-locking, and coherence; and nonlinear
optics including the nonlinear susceptibility, parametric interactions,
stimulated processes, and self-action. Recommended preparation for PHYS 427:
PHYS 331 or PHYS 481. Offered as PHYS 327 and PHYS 427.

**PHYS 428. Cosmology and Structure (3).**
Distances to galaxies. The content of the distant universe. Large scale
structure and galaxy clusters. Physical cosmology. Structure and galaxy
formation and evolution. Testing cosmological models. Offered as ASTR 328,
PHYS 328, ASTR 428, and PHYS 428. Prereq: ASTR 222.

**PHYS 431. Physics of Nuclear Magnetic Resonance Imaging (3).** Description of physical principles underlying the spin behavior in MR and Fourier imaging in multi-dimensions. Introduction of conventianal, fast, and chemical-shift imaging techniques. Spin echo, gradient echo, and variable flip-angle methods. Projection reconstruction and sampling theorems. Bloch equations, T1 and T2 relaxation times, rf penetration, diffusion and perfusion. Flow imaging, MR angiography, and functional brain imaging. Sequence and coil design. Prerequisite: PHYS 122 or PHYS 124 or EBME 410, or consent of instructor.

**PHYS 436. Modern Cosmology (3).** (See PHYS 336.)

**PHYS 438. Introduction to Surface Science (3).** Geometric, chemical, and electronic structure of surfaces and interfaces between solid, liquid, and gas, contrasting surface properties with those of the bulk. Surface and interface thermodynamics, surface energy and surface tension in liquid and solid systems, surface shape effects, two-dimensional lattice, adsorption phenomena, the interactions of electrons, ions, and photons with a surface, and experimental techniques in surface science. Prerequisite: PHYS 315, CHEM 335, or consent of instructor.

**PHYS 441. Physics of Condensed Matter I (3).** Crystal structure, X-ray diffraction, band theory and applications. Free electron theory of metals and electrons in magnetic fields. Prerequisite: Consent of instructor.

**PHYS 442. Physics of Condensed Matter II (3). ** (Continuation of PHYS 441.) Lattice vibrations, thermal properties of solids, semiconductors, magnetic properties of solids, and superconductivity. Prerequisites: PHYS 441 and consent of instructor.

**PHYS 447. Physics of Liquid Crystals (3).**

**PHYS 449. Methods of Mathematical Physics I (3).** See PHYS 349. Additional work required.

**PHYS 450. Methods of Mathematical Physics (3).** See PHYS 350. Additional work required.

**PHYS 451. Empirical Foundations of the Standard Model I (3).** The experimental basis for modeling the electroweak and strong interactions in terms of fundamental fermions, quarks and leptons, and gauge bosons, photons, the weak bosons, and gluons; particle accelerators and detection techniques; phenomenology of particle reactions, decays, and hadronic structure; space-time and internal symmetries; symmetry breaking. Prerequisite: consent of instructor.

**PHYS 452. Empirical Foundations of the Standard Model II (3).** (Continuation of PHYS 451) Tests of the predictions of the broken SU(2) x U(1) gauge-symmetric model of the electroweak interactions and the color-SU(3) model of the strong interactions. Structure of the weak currents, the quark mixing matrix, and the gauge-boson couplings. Exploration of the Higgs sector and the coupling of the Higgs to quarks and leptons. Heavy-quark physics. Calculation of hadronic processes using partonic distribution functions. CP violation, neutrino masses, fermion nonconservation, and possible extensions of the Standard Model. Prerequisite: PHYS 451 or consent of instructor.

**PHYS 465. General Relativity (3).** This is a first course in general relativity. The techniques of tensor analysis will be developed and used to describe the effects of gravity and Einstein's theory. Consequences of the theory as well as its experimental tests will be discussed. An introduction to cosmology will be given. Prerequisite: consent of the instructor.

**PHYS 472. Graduate Physics Laboratory (3).** A series of projects designed to introduce the student to modern research techniques such as automated data acquisition. Students will be assessed as to their individual needs and a sequence of projects will be established for each individual. Topics may include low temperature phenomena, nuclear gamma ray detection and measurement and optics.

**PHYS 481. Quantum Mechanics I (3).** Quantum mechanics with examples of applications. Schroedinger method; matrix and operator methods. Approximation methods including JBWK, variational, and various perturbation methods. Applications to atomic, molecular and nuclear physics including both bound states and scattering problems. Applications of group theory to quantum mechanics. Prerequisite: consent of instructor.

**PHYS 482. Quantum Mechanics II (3).** Continuation of PHYS 481. Prerequisite: PHYS 481 or consent of instructor.

**PHYS 491. Modern Physics for Innovation I**
The first half of a two-semester sequence providing an understanding of
physics as a basis for successfully launching new high-tech ventures. The
course will examine physical limitations to present technologies, and the
use of physics to identify potential opportunities for new venture
creation. The course will provide experience in using physics for both
identification of incremental improvements, and as the basis for
alternative technologies. Case studies will be used to illustrate recent
commerically successful (and unsuccessful) physics-based venture creation,
and will illustrate characteristics for success. Admission to this course
requires consent of the instructor.

**PHYS 492. Modern Physics for Innovation II**
Continuation of PHYS 491, with an emphasis on current and prospective
opportunities for Physics Entrepreneurship. Longer term opportunities for
Physics Entrepreneurship in emerging areas, including (but not be limited
to) nanoscale physics and nanotechnology; biophysics and applications to
biotechnology; physics-based opportunities in the context of information
technology. Prerequisite: PHYS 491.

**PHYS 493. Feasibility and Technology Analysis (3).**

**PHYS 522. Nonlinear Optics (3).** Classical phenomenology and Maxwell's equations in media; Maxwell-Bloch equations. Theory of nonlinear wave interactions and propagation. Properties of optical fibers and nonlinear materials. Theory of nonlinear propagation, solitons, inverse scattering transforms, optical chaos. Applications to lasers, optical bistability, self-induced transparency, and stimulated light scattering. Prerequisites: PHYS 423 and PHYS 481.

**PHYS 539. Special Topics Seminar (1-3).**
Individual or small group instruction
on topics of current interest. Topics include, but are not limited to,
particle physics, astrophysics, optics, condensed matter physics,
biophysics, imaging. Several such courses may be offered concurrently.

**PHYS 541. Quantum Theory of the Solid State (3). ** Elementary excitations in solids, including lattice vibrations, spin waves, helicons, and polarons. Quasiparticles and collective coordinates. BCS theory of superconductivity. Quasicrystals. Transport properties. Conduction electrons in magnetic fields and the quantum Hall effect. Green function methods of many-body systems. Prerequisite: PHYS 482 and consent of instructor.

**PHYS 542. Quantum Theory of the Solid State II (3).** Continuation of PHYS 541. Prerequisite: PHYS 541 and consent of instructor.

**PHYS 544. Advanced Theory of Materials (3).** Density
functional theory: successes and limitations.
Electronic structure and total energy calculation methods.
Simulations of structure of solids, molecular dynamics.
Experimental probes: particle-solid interactions.
Applications to various classes of materials:
metals and their alloys, semiconductors, narrow band systems.
Defective solids: point defects, surfaces and interfaces;
and artificially structured materials:
Prerequisite: PHYS 442 or consent of instructor.

**PHYS 545. Advanced Topics in the Physics of Many Particle Systems I (3).** The matter field; Hartree-Fock approximation; equations of motion for elementary excitations. Ground-state Green functions; spectral representation; perturbation expansion for Green functions; Dyson equation; density-fluctuation propagators and linear response functions. Applications to plasmas, normal Fermi liquids, spin systems, superfluid Bose systems, and superconductors. Prerequisite: PHYS 482 and consent of instructor.

**PHYS 546. Advanced Topics in the Physics of Many Particle Systems II (3).** See PHYS 545. Prerequisite: PHYS 545 and consent of instructor.

**PHYS 551. Theoretical Nuclear Physics I (3).** Physical properties of the nucleus, nuclear structure and nuclear models, nuclear scattering, and nuclear transformations from a theoretical viewpoint. Prerequisite: PHYS 482 and consent of instructor.

**PHYS 552. Theoretical Nuclear Physics II (3). ** See PHYS 551. Prerequisite: PHYS 551 and consent of instructor.

**PHYS 559. Special Topics Seminar (3). **

**PHYS 561. Cosmic Ray and High-Energy Astrophysics (3).** Advanced topics in experimental cosmic ray physics and high-energy astrophysics. Prerequisite: consent of instructor.

**PHYS 565. General Theory of Relativity (3).** Review of special relativity, principle of equivalence, tensor analysis. Einstein field equations, tests of general relativity, post-Newtonian method, gravitational radiation, relativistic astrophysics, symmetries of space-time. Prerequisite: Consent of instructor.

**PHYS 566. Cosmology (3).** Homogeneity and isotropy of the universe, Robertson-Walker metric, red shifts and distances, number counts, steady state model, Friedmann models, microwave radiation background, nucleosynthesis, galaxy formation. Prerequisite: PHYS 565 and consent of instructor.

**PHYS 579. Special Topics Seminar (3).**
In-depth examination of a
cutting-edge topic of current interest. New topic is selected each semester.

**PHYS 581. Quantum Mechanics III (3).** Continuation of PHYS 482. The methods of quantum field theory applied to the nonrelativistic many-body problem, radiation theory, and relativistic particle physics. Second quantization using canonical and path-integration techniques. Constrained systems and gauge theories. Graphical perturbative methods and graph summation approaches. Topological aspects of field theories. Prerequisite: PHYS 482 and consent of instructor.

**PHYS 591. Gauge Field Theory I (3).** Noether's Theorem, symmetries and conserved currents, functional integral techniques, quantization, Feynman rules, anomalies, QED, electroweak interactions, QCD, renormalization, renormalization group, asymptotic freedom, and assorted other topics. Prerequisite: consent of instructor.

**PHYS 592. Gauge Field Theory II (3).** Electroweak theory; spontaneous symmetry breaking; renormalization group. Strong interactions; grand unified theories and theories beyond the Standard Model. PHYS 592 will explore in depth the field theoretic basis of the Standard Model of particle physics and some of its most important extensions. Prerequisite: consent of instructor.

**PHYS 601. Research in Physics (credit as arranged).**

**PHYS 651. Thesis (M.S.) (credit as arranged). **

**PHYS 701. Dissertation (Ph.D.) (credit as arranged).**

**PHYS 841 Teaching Physics Concepts I (2).** See PHYS 341. This course number applies for public school teachers.

**PHYS 842 Teaching Physics Concepts II (2).** Continuation of Teaching Physics Concepts I. See PHYS 342. This course number applies for public school teachers.