**Physics, PHYS**

**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.** 3 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.** 3 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. Symbolic and numerical evaluation of single-variable and
multi-variable integrals with a single line of programming; symbolic evaluation of derivatives; symbolic manipulation of lists
including vectors and matrices; data analysis; multidimensional plots; symbolic derivations; symbolic and numerical solutions
to single and multiple, linear and nonlinear, differential and partial differential equations; probability densities and
Monte Carlo methods; and random walk and classical trajectory simulations.

**5710. Advanced Classical Mechanics I.** 3 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.** 3 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.** 3 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.** 3 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.** 3 hours. Non-linear dynamics; chaos; fractals; classical field
theory; hydro-dynamics and non-linear waves. Prerequisite(s): PHYS 5710.

**6030. Electromagnetic Theory II.** 3 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.** 3 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.** 1-12 hours. 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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