
Physics and Astronomy
Fred Myhrer, Chair
Professors
Yakir Aharonov, Ph.D. , Bristol University, 1960
University of South Carolina Endowed Professor of Physics
Jeeva S. Anandan, Ph.D. University of Pittsburgh, 1978
ChiKwan Au, Ph.D., Columbia University, 1972
Frank T. Avignone III, Ph.D., Georgia Institute of Technology, 1965
Distinguished Professor and Carolina Professor of Physics and Astronomy
Gary S. Blanpied, Ph.D., University of Texas, 1977
Gerard M. Crawley, Ph.D., Princeton University, 1965
Dean, College of Science and Mathematics
Richard J. Creswick, Ph.D., University of California, Berkeley, 1981
Timir Datta, Ph.D., Tulane University, 1979
Chaden Djalali, Ph.D., University of Paris, 1981
Graduate Director
Horacio A. Farach, Ph.D., University of Buenos Aires, 1962
Edwin R. Jones Jr., Ph.D., University of Wisconsin, 1965
Undergraduate Director
James M. Knight, Ph.D., University of Maryland, 1960
Kuniharu Kubodera, Ph.D., University of Tokyo, 1970
Pawel O. Mazur, Ph.D., Jagellonian University, 1982
Sanjib R. Mishra, Ph.D., Columbia University, 1986
Fred Myhrer, Ph.D., University of Rochester, 1973
Chair
Barry M. Preedom, Ph.D., University of Tennessee, 1967
Carolina Distinguished Professor; Associate Dean, College of Science and Mathematics
Milind V. Purohit, Ph.D., California Institute of Technology, 1983
Carl Rosenfeld, Ph.D., California Institute of Technology, 1977
Associate Professors
Ralf W. Gothe, Ph.D., University of Bonn, 1990
Joseph E. Johnson III, Ph.D., State University of New York at Stony Brook, 1968
Milind N. Kunchur, Ph.D., Rutgers University, 1988
David J. Tedeschi, Ph.D., Rensselaer Polytechnic, 1993
Jeffrey R. Wilson, Ph.D., Purdue University, 1985
Assistant Professors
Varsha P. Kulkarni, Ph.D., University of Chicago, 1996
Christina K. Lacey, Ph.D., University of New Mexico, 1997
Ruslan Prozorov, Ph.D., BarIlan University, 1998
Overview
The Department of Physics and Astronomy offers strong traditional curricula at the graduate level with additional courses in research. Comprehensive experimental research programs are available in highenergy physics, nuclear/intermediate energy physics, condensed matter physics/nanoscience, and astrophysics. There are broad efforts in theoretical research with programs in the foundations of quantum theory, nuclear and particle physics, statistical/condensed matter physics, cosmology and astrophysics, and computational physics.
The Department of Physics and Astronomy offers the degrees of Master of Science, Professional Master's Program in the Sciences (area of emphasis: modeling for corporate applications), and Doctor of Philosophy. In cooperation with the College of Education, the department also offers the Master of Arts in Teaching in Science (Physics Option) and the Interdisciplinary Master of Arts in Science (Physics Option).
Admission
Adequate preparation for graduate study ordinarily presupposes a bachelor's degree in physics or an allied field. Prior to admission to this department, entering graduate students are expected to have passed with a grade of C or better the following courses or their equivalent: modern physics, mechanics, electromagnetic theory, kinetic theory and statistical mechanics, nuclear physics, and solid state physics. Mathematics through advanced calculus, including ordinary and particle differential equations and vector analysis, should also have been completed in the undergraduate program. Students with deficiencies in these courses must make them up during their initial two years of graduate studies.
Requests for further information should be addressed to: Director of Graduate Studies, Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208 (email djalali@sc.edu).
Degree Requirements
The requirements for the Master of Science degree include 30 semester hours of course work, a thesis, and an oral comprehensive examination. The requirements for the degree of Doctor of Philosophy include 60 semester hours of advanced course work (or 30 semester hours beyond the master's degree), written and oral examinations for admission to candidacy, a reading knowledge of one foreign language, and a dissertation. Beyond the basic courses taken by most graduate students, the formal course work of Ph.D. students is quite flexible and is decided by consultation between the student and the student's advisory committee. Usually four or five years are required to complete the doctoral program. The majority of time during the student's last two years of residence will be devoted to individual research under the guidance of a member of the faculty on a problem of mutual interest. This research forms the basis for the doctoral dissertation.
Degree Requirements for the Professional Master's Degree
The requirements for the professional master's degree include 15 hours of physics courses, including computational physics, and 15 hours of business courses. In lieu of a thesis, the professional master's degree requires that students take an internship in a company.
Course Descriptions
Astronomy (ASTR)
 522  Topics in Astronomy. (13) Readings and research on selected topics in physics. Course content varies and will be announced in the schedule of classes by suffix and title.
 533  Advanced Observational Astronomy I. (13) (Prereq: consent of instructor) Development of a combination of observational techniques and facility at reduction of data. A maximum of eight hours per week of observation, data reduction, and consultation. Offered each semester by arrangement with the department.
 534  Advanced Observational Astronomy II. (13) A continuation of ASTR 533. Up to eight hours per week of observation, data reduction, and consultation.
 599  Topics in Astronomy. (13) (Prereq: consent of instructor) Readings and research on selected topics in astronomy. Course content varies and will be announced in the schedule of classes by suffix and title.
Physics (PHYS)
 501  Modern Physics. (3) (Prereq: a grade of C or better in PHYS 307 and MATH 242) Principles of special relativity, origin, and development of quantum theory, and elements of nuclear and particle physics.
 502  Quantum Physics. (3) (Prereq: a grade of C or better in PHYS 303) A selfcontained treatment of quantum theory and its applications, beginning with the Schrödinger equation.
 503  Mechanics. (3) (Prereq: PHYS 206, MATH 242 or 520) Classical mechanics of particles, systems, and rigid bodies; discussion and application of Lagrange's equations.
 504  Electromagnetic Theory. (4) (Prereq: PHYS 207 and 503) Field theory of electric and magnetic phenomena;
Maxwell's equations applied to problems in electromagnetism and radiation.
 505  Advanced Classical Physics. (3) (Prereq: PHYS 504) Advanced topics in mechanics and electromagnetism; Hamilton's equations.
506  Thermal Physics. (3) (Prereq: a grade of C or better in PHYS 207) Principles of equilibrium thermodynamics, kinetic theory, and introductory statistical mechanics.
509  Solid State Electronics. (4) Topics include: basic electrical circuits; electronic processes in solids; operation and application of individual solid state devices and integrated circuits. Three lecture and three laboratory hours per week.
510  Digital Electronics. (3) (Prereq: PHYS 509) Basic operation of digital integrated circuits including microprocessors. Laboratory application of microcomputers to physical measurements.
511  Nuclear Physics. (4) (Prereq: PHYS 502) An elementary treatment of nuclear structure, radioactivity, and nuclear reactions. Three lecture and three laboratory hours per week.
512  Solid State Physics. (3) (Prereq: PHYS 502) Crystal structure; lattice dynamics; thermal, dielectric, and magnetic properties of solids. Free electron model for metals. Band structure of solids, semiconductor physics.
514  Optics, Theory, and Applications. (4) (Prereq: a grade of C or better in PHYS 207 and 208, or PHYS 212) Geometrical and physical optics; the wave nature of light, lenses and optical instruments, interferometers, gratings, thin films, polarization, coherence, spatial filters, and holography. Three lectures and one threehour laboratory per week.
515  Mathematical Physics I. (3) (Prereq: MATH 242) Analytical function theory including complex analysis, theory of residues, and saddlepoint method; Hilbert space, Fourier series; elements of distribution theory; vector and tensor analysis with tensor notation.
516  Mathematical Physics II. (3) (Prereq: PHYS 515) Group theory, linear secondorder differential equations and the properties of the transcendental functions; orthogonal expansions; integral equations; Fourier transformations.
517  Computational Physics. (3) (Prereq: a grade of C or better in PHYS 207 and MATH 142) Application of numerical methods to a wide variety of problems in modern physics including classical mechanics and chaos theory, Monte Carlo simulation of random processes, quantum mechanics and electrodynamics.
522  Topics in Physics. (13) Readings and research on selected topics in physics. Course content varies and will be announced in the schedule of classes by suffix and title.
531  Advanced Physics Laboratory I. (13) A laboratory program designed to develop a combination of experimental technique and application of the principles acquired in formal course work. A maximum of eight hours per week of laboratory and consultation.
532  Advanced Physics Laboratory II. (13) A continuation of Physics 531. Up to eight hours per week of laboratory and consultation.
599  Topics in Physics. (13) (Prereq: consent of instructor) Readings and research on selected topics in physics. Course content varies and will be announced in the schedule of classes by suffix and title.
701  Classical Mechanics. (3) Generalized coordinates, Lagrangian and Hamiltonian formulations, variational principles, transformation theory, and HamiltonJacobi equation.
703  Electromagnetic Theory I. (3) Development of Maxwell's equations; boundary value problems; radiation theory.
704  Electromagnetic Theory II. (3) A continuation of PHYS 703.
706  Statistical Thermodynamics. (3) Statistics of Boltzmann, of Fermi and Dirac, and of Bose and Einstein, with applications.
708  General Relativity. (3) Introduction to the basic concepts of general relativity and a discussion of problems of current interest.
711  Quantum Mechanics I. (3) A development of nonrelativistic quantum mechanics.
712  Quantum Mechanics II. (3) A continuation of PHYS 711.
713  Advanced Quantum Theory I. (3) Nonrelativistic quantum electrodynamics. Relativistic wave equations. Propagator theory. Field theory of relativistic quantum electrodynamics.
714  Advanced Quantum Theory II. (3) A continuation of PHYS 713.
717  Nuclear Theory I. (3) The theory of nuclear forces, structure, and reactions.
721  Nuclear Physics. (3) Nuclear physics, mainly from the experimental standpoint.
723  Elementary Particles I. (3) (Prereq: PHYS 701, 703, 711: coreq: 712) Introduction to elementary particles. The quark model. Symmetry principles and conservation laws. Calculation of cross sections and decay rates using Feynman rules. Accelerators, particle detectors, and experiments. Electromagnetic cross sections.
724  Elementary Particles II. (3) (Prereq: PHYS 723) Experimentally accessible processes and their description using the framework developed in PHYS 723. Gauge theories and the standard model. Particle experiments for the next decade and their underlying physics descriptions.
725  Solid State Physics. (3) The crystalline state of matter and its main characteristics. Electric and magnetic properties of metals, semiconductors, and insulators.
726  Superconductivity. (3) Theory and description of conventional and high temperature superconductors and their properties.
727  Magnetic Resonance. (3) Basic theory. Electron spin resonance. High resolution and wideline nuclear magnetic resonance. Mössbauer effect. Magnetic resonance and dielectric relaxation.
728  Solid State Theory. (3) Presentation of the quantum theory of solids. Applications to acoustic, electric, magnetic, optical, and superfluid properties of solids.
729  Applied Group Theory. (3) Groups and representations. Full rotational group. Angular momentum. Ligand field theory. Application to atomic, molecular, and nuclear physics.
730  Graduate Seminar. (1) Presentation by the student of a designated topic. May be repeated for credit.
740  Selected Topics in Physics. (13 per registration) Course content varies and will be announced in the schedule of classes by suffix and title.
745  Topics in Nuclear Physics. (13 per registration) Course content varies and will be announced in the schedule of classes by suffix and title.
750  Topics in Solid State Physics. (13 per registration) Course content varies and will be announced in the schedule of classes by suffix and title.
755  Topics in Theoretical Physics. (13 per registration) Course content varies and will be announced in the schedule of classes by suffix and title.
760  Research. (16 each) Introduction to and the application of the methods of research.
761  Research. (16 each) Introduction to and the application of the methods of research.
781  Astronomy for Teachers. (3) Primarily for M.A.T./I.M.A. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. A one semester survey of astronomy. Observational techniques and current developments.
782  Topics in Contemporary Physical Sciences for Teachers. (variable 34) Primarily for M.A.T. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. Discussions designed to provide teachers with simple physical explanations of subjects including: nuclear energy, black holes, quarks, strange particles, perception of color, integrated circuits, computers, TV games, and other topics of current interest. With 4 hours credit a laboratory will be included to give laboratory experience in the subject areas covered in class.
783  Modern Physics for Teachers. (3) Primarily for M.A.T. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. Basic concepts of modern physics. The experimental basis for quantum theory and the theory of relativity. Fundamental concepts of modern physics.
784  Topics in Light and Sound for Teachers. (3) Primarily for M.A.T. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. Topics in modern optics and acoustics are discussed in a framework appropriate for school teachers.
785  Electronics for Teachers. (3) Primarily for M.A.T. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. Basic electronics with emphasis on measurement and laboratory procedures. Operation and application of semiconductor devices and integrated circuits.
786  Teaching Physics on the Internet. (3) Webbased resources for assigning and grading individualized homework and tests and for creating instructional units in physics and physical sciences. Not available for M.S./Ph.D. physics majors.
787  Design of Physics Laboratory and Demonstration Experiments for Teachers. (3) Primarily for M.A.T. and M.Ed. students. Not available for M.S. and Ph.D. credit in physics. Design and performance of demonstrations and experiments to display physical phenomena to students. Qualitative and quantitative experiments.
788  Physics for AP Teachers. (3) Preparation of teachers for developing and teaching an advanced placement course in physics. Primarily for M.A.T./I.M.A. and M.Ed. students. Not available for M.S. of Ph.D. credit in physics.
789  Physics for Teachers of Mathematics. (3) Teacher preparation for creating and solving word problems using conservation laws and symmetries found in physics and physical science and linked to the South Carolina Mathematics Standards.
799  Thesis Preparation. (19)
899  Dissertation Preparation. (112)
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