**Physics, PHYS = 0156**

4050. Nuclear Reactor Theory.3 hours. (3;0;1) A study of neutron transport theory and neutron diffusion mechanics as applied to nuclear fission and reactor core criticality analysis and behavior. Multi-region core configurations and group diffusion theory included. Prerequisite(s): MATH 1720, PHYS 3010/3030. (Same as NUET 4050.)

4110. Statistical and Thermal Physics.3 hours. (3;0;1) Basic probability concepts; statistical description of systems of particles; statistical thermodynamics and thermodynamic laws; macroscopic and microscopic descriptions of systems; phase transformation. Prerequisite(s): PHYS 3010/3030.

4150. Experimental Physics I.3 hours. (1;6) Laboratory experience via use of research-quality instruments. Modern experiments in solid state, atomic and molecular physics. Topics, which may vary, include nonlinear dynamics and chaos in circuits and lasers; SQUIDS and high temperature superconductivity; holography; X-ray diffraction; and electron scanning microscopy. Prerequisite(s): PHYS 3010/3030.

4160. Experimental Physics II.3 hours. (1;6) Experimental techniques of precision measurements in nuclear and atomic physics. Topics, which may vary, cover recent developments in modern physics suitable for advanced undergraduates and graduate students. Rutherford scattering, low energy nuclear reactions; ion-induced innershell ionization at MeV energies; nuclear magnetic resonance to obtain local electronic structure; magnetic transport and magneto-optics; and modern techniques in surface analysis (ion sputtering). Prerequisite(s): PHYS 3010/3030.

4210. Electricity and Magnetism.3 hours. (3;0;1) Vector treatment of static electric and magnetic fields in free space, multipole field distributions, boundary value problems, fields in material media, and electromagnetic waves. Prerequisite(s): PHYS 2220/2240.

4220. Electromagnetic Waves.3 hours. (3;0;1) Maxwell's equations; plane and spherical waves; reflection, refraction, guided waves, radiation and scattering. Prerequisite(s): PHYS 4210.

4310. Quantum Mechanics.3 hours. (3;0;1) Origins of the modern theory of atomic structure; Schroedinger's formulation of non-relativistic, single-particle quantum mechanics and application to simple systems; the one-electron atom. Prerequisite(s): PHYS 3010/3030.

4350. Advanced Modern Physics I Atomic and Molecular Physics.3 hours. Introduction to various quantum mechanical models of atomic and molecular structure and spectra. Hydrogen atom and simple spectra; external fields, line splitting; line broadening; addition of angular momentum and spin; effective fields, variational method; Hartree and Hartree-Fock theory; structure and spectra of multielectron atoms; Rydberg atoms; molecular binding; rotational, vibrational and electronic states and spectra of diatomic molecules. Prerequisite(s): PHYS 4310.

4360. Advanced Modern Physics II Nuclear and Particle Physics.3 hours. Comprehensive study of nuclear structure and dynamics; survey of particle physics; properties of the nuclear force; interpretation of experimental data via specific many-body models; interaction of radiation with matter; classification of particles and nuclei; scattering theory; conservation laws and symmetry; and contemporary results. Prerequisite(s): PHYS 4350.

4420. Physical Optics.3 hours. (3;0;1) Huygens' principle and application to geometrical optics; interference phenomena; Fraunhofer and Fresnel diffraction; polarization; electromagnetic theory of light and interaction with matter. Prerequisite(s): PHYS 2220/2240.

4500. Introduction to Solid-State Physics.3 hours. An introduction to the major areas of solid-state physics, including crystal structure and symmetry, lattice vibrations and phonons, thermal properties, energy bands, semiconductors, superconductivity, and magnetic properties. Prerequisite(s): PHYS 4310.

4550. Modern Classical Dynamics.3 hours. Introduction to nonlinear dynamical systems; onset of chaos, phase space portraits, universality of chaos, strage attractors, experimental verification, fluid dynamics and the KAM theorem. Prerequisite(s): PHYS 3220.

4600. Computer Based Physics.3 hours. Computer programs will be written and used to solve equations of motion and display the evolution of complex physical phenomena. Examples will be drawn from mechanics, electromagnetism, statistical physics and quantum mechanics. Numerical techniques, display algorithms and languages will be developed as needed. Prerequisite(s): PHYS 3010, MATH 2730.

4710. Foundations of Theoretical Physics.3 hours. Overview of topics in theoretical physics. Symmetry; mechanics: Newton's laws, celestial mechanics, Hamiltonian formalism; electromagnetism: Maxwell's equations, nonlinear optics and classical field theory, quantum optics, lasers, chaotic diffraction; quantum mechanics: measurements and scattering theory; statistical physics: entropy, equilibrium statistical mechanics; and contemporary areas: fractals, chaos and nonlinear dynamics. Topics may vary. Prerequisite(s): PHYS 4210, 4310; PHYS 4110, which may be taken concurrently.

4960-4970. Science Institute (Physics).1-6 hours each. For students accepted by the university as participants in special institute programs. May be repeated for credit but not to exceed a total of 6 hours in each course.

5450. Survey of Solid State Physics.3 hours. A course designed to acquaint the student with the major areas of solid state physics. Simple models and physical insight to solid state phenomena are stressed. Intended for physics students of all specializations. Topics include crystal structure, crystal symmetry, reciprocal lattice, X-ray diffraction, crystal binding, phonons and lattice vibrations, thermal properties, free electron theory, semiconductors, superconductivity and magnetic properties. Prerequisite(s): PHYS 4110.

5500. Quantum Mechanics I.4 hours. Fundamentals of quantum theory. Foundations of wave mechanics, wavepackets and the uncertainty principles. Schroedinger equation, one-dimensional problems, operators and eigenfunctions, three-dimensional problems, angular momentum and spin.

5510. Quantum Mechanics II.4 hours. Scattering theory; spin, angular momentum; WKB and variation method; time-independent and time-dependent perturbation theory; identical particles; applications; relativistic waves equations. Prerequisite(s): PHYS 5500.

5610. Selected Topics in Modern Physics.3 hours. Selected topics of contemporary interest in physics. Prerequisite(s): consent of department. May be repeated for credit as topics vary with consent of department chair.

5700. Computational Physics.3 hours. Solutions of current physics problems using workstations. Basic, Unix and C language reviewed. Numerical methods, solution of differential equations; fast Fourier transforms, dynamical systems, spectral analysis, maps, stochastic differential equations, non-linear waves.

5710. Advanced Classical Mechanics I.4 hours. Variational principles and Lagrange's equations. Central force problem. Rigid body motion. Hamilton's equations; canonical variables and transformations; action-angle variables; Hamilton-Jacobi theory. Prerequisite(s): PHYS 3220 or consent of department.

5720. Electromagnetic Theory I.4 hours. Maxwell's equations, vector, scalar potentials; gauge transformations; wave equation; conservation theorems; boundary conditions; statics. Non-dissipative media and dispersion; dissipative media; reflection and refraction; guided waves. Prerequisite(s): PHYS 4210 and 6000 (concurrent), or consent of department.

5750. Selected Topics in Materials Physics.3 hours. Topics from specialized areas of materials science, physics, chemistry. Integrated circuit fabrication and materials. Transmission electron microscopy. May be repeated for credit as topics vary.

5900-5910. Special Problems.1-6 hours each. Special problems in advanced physics for graduate students. Problem chosen by the student with the approval of the supervising professor and the department chair.

5920-5930. Research Problems in Lieu of Thesis.3 hours. An introduction to research; may consist of an experimental, theoretical or review topic.

5940. Seminar in Current Literature of Physics.1-3 hours. Reports and discussion one hour a week. Required each semester of all graduate students in physics.

5941. Colloquium.1 hour. Weekly lectures by faculty and invited guests on topics of current interest in contemporary physics.

5950. Master's Thesis.3 or 6 hours. To be scheduled only with consent of department. 6 hours credit required. No credit assigned until thesis has been completed and filed with the graduate dean. Continuous enrollment required once work on thesis has begun. May be repeated for credit.

5960-5970. Science Institute.1-6 hours each. For students accepted by the university as participants in special institute programs. May be repeated for credit, not to exceed a total of 6 hours in each course. Laboratory fee required.

5980-5990. Special Problems.1-3 hours each. Special problems in advanced physics for graduate students. Problem chosen by the student with the approval of the supervising professor.

6000. Mathematical Methods of Physics I.4 hours. Complex variables, Laurent series, contour integration, integral transformations, dispersion relations, approximations methods; ordinary differential equations. Legendre, Bessel functions. Sturm-Liouville theory; eigenvalue problem. Green's functions. Prerequisite(s): PHYS 3310.

6001. Mathematical Methods of Physics II.4 hours. Floquet theory, Mathieu and Hill equations, elliptic functions, vector spaces and Hilbert spaces, linear operators and elements of spectral theory. Green's functions; integral equations; non-linear wave equations and approximation techniques. Prerequisite(s): PHYS 6000.

6010. Advanced Classical Mechanics II.4 hours. Non-linear dynamics; chaos; fractals; classical field theory; hydro-dynamics and non-linear waves. Prerequisite(s): PHYS 5710.

6030. Electromagnetic Theory II.4 hours. Waves in plasma; waves in inhomogeneous, anisotropic and non-linear media. Radiation and diffraction; particle radiation and energy loss in matter. Scattering. Multipole fields. Covariant formulation and classical field theory. Prerequisite(s): PHYS 5720.

6110. Statistical Mechanics I.4 hours. Equilibrium classical and quantum statistical mechanics and thermodynamics with applications to real gases, liquids, solids, spin systems and phase transitions. Prerequisite(s): PHYS 4110 and 5510.

6120. Statistical Physics.3 hours. Non-equilibrium classical and quantum statistical mechanics, including Boltzmann equations, BBGKY hierarchy, transport theory and dielectric properties of systems; fluctuations and irreversible processes. Prerequisite(s): PHYS 6110 or consent of department.

6155. Communication in Scientific Teaching and Research.3 hours. Basics of technical writing; techniques for seeking and

obtaining research funding; research proposal writing; research presentations; research publications; job applications and interviewing; the workings and organization of academic institutions, government agencies, and private industry.

6160. Introduction to Scattering Theory I.3 hours. Partial waves; effective range theory; integral equation approach; resonances; bound states; Variational and R-Matrix methods. Emphasis on applications. Prerequisite(s): PHYS 5510.

6161. Introduction to Scattering Theory II.3 hours. Time-dependent potential scattering, the general theory of collisions, electron-ion collisions, resonances, ion-ion collisions, ion-atom collisions, density matrix formulation and atoms in intense fields. Emphasis on applications.

6330. Atomic and Molecular Physics I.3 hours. Atomic, molecular structure; construction of periodic table. Experimental basis. One-, few- and many-electron systems; Hartree-Fock, Thomas Fermi methods; inner and outer shell phenomena. Prerequisite(s): PHYS 5510.

6340. Atomic and Molecular Physics II.3 hours. Applications of scattering theory. Born approximation, phase shifts, effective range theory; density operator; scattering and transition matrices. Interaction of large and weak EM fields with matter. Laser spectroscopy. Prerequisite(s): PHYS 6330.

6450-6460. Advanced Solid State Physics.3 hours each. A two-course sequence designed to prepare graduate students for research in several areas of current interest in solid state physics. Topics include lattice vibration and phonon spectra; band theory, including calculational schemes, symmetry considerations and application to metals and semiconductors; optical and magnetic properties of solids. Prerequisite(s): PHYS 5510 and 5450, or consent of department.

6500-6510. Advanced Quantum Theory.3 hours each.

6500.Dirac and Heisenberg formalisms, second quantization and quantum theory of radiation.Dirac equation and its applications. Prerequisite(s): consent of department.

6510.Quantization of Dirac, Klein-Gordon fields, interactions, S-matrix theory, perturbation theory and applications. Prerequisite(s): PHYS 6500 or consent of department.

6750. Selected Topics in Theoretical Physics.3 hours. Advanced topics selected from areas of theoretical and mathematical physics, including relativity, field theory, elementary particles and the many-body problem. Prerequisite(s): consent of department. May be repeated for credit as topics vary.

6800. Selected Topics in Solid State Physics.3 hours. Advanced topics selected from specialized areas of solid state physics. Prerequisite(s): consent of department. May be repeated for credit as topics vary.

6900-6910. Special Problems.1-3 hours each. Special problems in experimental or theoretical physics for advanced graduate students. Problem chosen by the student with the approval of the supervising professor.

6940. Individual Research.Variable credit. To be scheduled by the doctoral candidate engaged in research. May be repeated for credit.

6950. Doctoral Dissertation.3, 6 or 9 hours. To be scheduled only with consent of department. 12 hours credit required. No credit assigned until dissertation has been completed and filed with the graduate dean. Doctoral students must maintain continuous enrollment in this course subsequent to passing qualifying examination for admission to candidacy. May be repeated for credit

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