Physics and Astronomy
Chaden Djalali, Chair
Professors
Yakir Aharonov, Ph.D. , Bristol University, 1960, University of South Carolina Endowed Professor of Physics
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, Undergraduate Director
Gerard M. Crawley, Ph.D., Princeton University, 1965
Richard J. Creswick, Ph.D., University of California, Berkeley, 1981
Timir Datta, Ph.D., Tulane University, 1979
Chaden Djalali, Ph.D., University of Paris, 1984, Graduate Director
Vladimir Gudkov, Ph.D., Leningrad Nuclear Physics Institute, 1984
Joseph E. Johnson III, Ph.D., State University of New York at Stony Brook, 1968
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
Milind V. Purohit, Ph.D., California Institute of Technology, 1983
Carl Rosenfeld, Ph.D., California Institute of Technology, 1977
Richard Webb, Ph.D., University of California at San Diego, 1973, Distinguished University Professor
Associate Professors
Thomas M. Crawford, Ph.D., University of Colorado, 1992
Ralf W. Gothe, Ph.D., University of Mainz, 1990
Milind N. Kunchur, Ph.D., Rutgers University, 1988
Steffen Strauch, Ph.D., Darmstadt University, 1998
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
Affiliated Faculty
Boris Ivlev, Ph.D., Landau Institute for Theoretical Physics, 1973, Visiting Professor
Oscar Lopez, Ph.D., University of South Carolina, 1992, Adjunct Associate Professor
Shmuel Nussinov, Ph.D., University of Washington, 1966, Visiting Professor
Toru Sato, Ph.D., Osaka University, 1980, Visiting Associate Professor
Jose Vargas, Ph.D., Utah State University, 1987, Adjunct Professor
Faculty Emeriti
Colgate W. Darden III, Ph. D., Massachusetts Institute of Technology, 1959
Ronald Dovaston Edge, Ph.D., Cambridge University, 1956
Horacio A. Farach, Ph.D., University of Buenos Aires, 1962
Edwin R. Jones Jr., Ph.D., University of Wisconsin, 1965
John M. Palms, Ph. D., University of New Mexico, 1966
Charles P. Poole Jr., Ph.D., University of Maryland, 1958
John L. Safko, Ph.D., University of North Carolina, 1965
Overview
 The undergraduate program in physics is designed to provide a fundamental understanding of both experimental and theoretical physics. All of the majors provide a strong basis for graduate study in physics. The applied major is designed for students seeking employment by industrial or governmental laboratories upon completing their B.S. By a suitable choice of electives students will also be prepared for graduate study in the other sciences, mathematics, medicine, or engineering or to enter the University’s special teacher education program that leads to a master’s degree and teacher certification.
Degree Requirements
Bachelor of Science with a Major in Physics
1. General Education Requirements (4354 hours)
 The following courses fulfill some of the general education requirements and some cognates and must be completed for a major in physics: PHYS 199, 206, 207, 208; MATH 141, 142, 241, and 242; and two math courses 500 level and above, selected with advisor; CHEM 111 and 112; CSCE 145. A grade of C or higher is required in all physics, mathematics, and engineering courses.
 For an outline of other general education requirements, see "College of Arts and Sciences."
2. Major Requirements
 General Major (3234 hours)
 Courses in physics, to include the following: PHYS 307, 308, 309, 501, 502, 503, 504, and 506 (24 hours)
Two courses in experimental physics (e.g., 509, 510, 511, 512, 514, 531, or 532) (68 hours)
Intensive Major (3638 hours)
 Courses in physics, to include the following: PHYS 307, 308, 309, 501, 502, 503, 504, and 506 (24 hours)
 Four physics electives numbered 500 or above, to include at least two courses in experimental physics (e.g., 509, 510, 511, 512, 514, 531, or 532) (1214 hours)
Applied Major (Engineering Physics Concentration)
Computer Option (5051 hours)
PHYS 307, 308, 309, 311, 502, 503, 504, 506, 509, and one course chosen from PHYS 501, 511, 512, 514.
CSCE 146, 212, either 211 and 313 or 245 and 311, and one course numbered 491 or higher
ECON 421 (may be used for group IV)
Electrical Option (5456 hours)
PHYS 307, 308, 309, 311, 502, 503, 504, 506, and two courses chosen from PHYS 501, 509, 511, 512, 514
ELCT 102, 201, 221, 222, 301, 371
CSCE 211
ECON 421 (may be used for group IV)
Mechanical Option (5457 hours)
PHYS 307, 308, 309, 311, 502, 503, 504, and three courses chosen from PHYS 501, 506, 509, 511, 512, 514
EMCH 200, 260, 290, 327, 360, 507, 508
ECON 421 (may be used for group IV)
3. Cognates
 The required mathematics courses satisfy the cognate requirement.
4. Electives, see "College of Arts and Sciences"
Minor in Astronomy
Prerequisite Courses: ASTR 111, 111A
Required Courses: ASTR 211, 211A
At least 12 hours in advanced courses numbered 311 or higher.
Course Descriptions
Astronomy (ASTR)
 111  Descriptive Astronomy I. (3) The universe: physical processes and methods of study. Lectures, demonstrations, and laboratory experience. Designed primarily for the nonscience major. Offered as a selfpaced, masteryoriented course at the Columbia campus.
 111A  Descriptive Astronomy IA. (1) Selected topics from ASTR 111 studied in greater depth. Laboratory experience required of students who have not completed ASTR 111. Offered as selfpaced masteryoriented course at the Columbia campus.
 211  Descriptive Astronomy II. (3) (Prereq or coreq: ASTR 111) Selected areas from ASTR 111 studied in greater depth. Includes laboratory experience.
 211A  Descriptive Astronomy IIA. (1) (Prereq or coreq: ASTR 111A) Topics from ASTR 111/211 studied in greater depth. Laboratory experience required of students who have not completed ASTR 111. Offered as selfpaced masteryoriented course at the Columbia campus.
 311  Descriptive Astronomy III. (3) (Prereq: ASTR 211) Offered in a selfpaced, masteryoriented manner.
 320  Introduction to Radio Astronomy. (3) (Prereq: ASTR 211, MATH 115 or equivalent, and PHYS 202, 207, or 212) Nature of the sun, planets; galactic and extragalactic sources at radio wavelengths; quasars; techniques, detectors, and telescopes.
 340  Introduction to Relativistic Astrophysics. {=PHYS 340} (3) (Prereq: ASTR 211, MATH 115 or equivalent, and PHYS 202, 207, or 212) Final states of stellar evolution; white dwarfs, neutron stars, black holes. Cosmology.
 499  Undergraduate Research. (3) (Prereq: consent of instructor) Introduction to and application of the methods of research. A written report on work accomplished is required at the end of each semester.
 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)
 101  The Physics of How Things Work I. (3) A practical introduction to physics and science in everyday lifefrom concrete examples to basic physical principles.
 101L  The Physics of How Things Work I Lab. (1) (Prereq or coreq: PHYS 101) Experiments, exercises, and demonstrations to accompany PHYS 101.
 102  The Physics of How Things Work II. (3) (Prereq: PHYS 101) A continuation of PHYS 101 with emphasis on electricity, magnetism, optics, and atomic physics.
 102L  The Physics of How Things Work II Lab. (1) (Prereq or coreq: PHYS 102) Experiments, exercises, and demonstrations to accompany PHYS 102.
 151  Physics in the Arts. (3) The physics of sound, color, illumination; musical instruments and photographic processes. Credit may not be received for both PHYS 151 and 153 or both PHYS 151 and 155.
 151L  Physics in the Arts Laboratory. (1) (Prereq or coreq: PHYS 151) Laboratory work on wave motion, including acoustic, optical, photographic, and electronic measurements. Credit may not be received for both PHYS 151L and 153L or both PHYS 151L and 155L.
 153  Physics in the Visual Arts. (3) Principals of optics: video, and photography, eye and vision, color, polarization, lasers, and holography. Credit may not be received for both PHYS 153 and 151.
 153L  Physics in the Visual Arts Laboratory. (1) (Prereq or coreq: PHYS 153) Laboratory work in geometrical and wave optics. Credit may not be received for both PHYS 153L and 151L.
 155  Musical Acoustics. (3) The principles of musical and architectural acoustics, waves and vibrations, digital techniques for generating and recording sound, perception and measure of sound (psychoacoustics). Credit may not be received for both PHYS 155 and 151.
 155L  Acoustics Laboratory. (1) (Prereq or coreq: PHYS 155) Laboratory work in musical and architectural acoustics. Credit may not be received for both PHYS 155L and 151L.
 199  Measurement and Analysis in Physics. (2) Measurements in classical and modern physics are performed, and the analyzed results are compared with basic principles. Four hours of mixed lecture and laboratory per week.
 201  General Physics I. (3) (Prereq: MATH 115, or MATH 122, or equivalent) First part of an introductory course sequence. Topics include mechanics, wave motion, sound, and heat. No previous background in physics is assumed.
 201L  General Physics Laboratory I. (1) (Prereq or coreq: PHYS 201)
 202  General Physics II. (3) (Prereq: a grade of C or better in PHYS 201) Continuation of PHYS 201; includes electromagnetism, relativity, quantum physics, atomic and nuclear physics.
 202L  General Physics Laboratory II. (1) (Prereq or coreq: PHYS 202).
 203  Physics for Medical Sciences. (1) (Prereq/coreq: PHYS 202) Elasticity, fluid mechanics, wave motion, elctromagnetic radiation, and optical systems. Emphasis on problem solving. Primarily intended for premed students. One lecture and one recitation hour per week.
 206  Principles of Physics I. (3) (Prereq: MATH 141; coreq: PHYS 211L) Classical mechanics. Calculuslevel treatment for science majors.
 207  Principles of Physics II. (3) (Prereq: a grade of C or better in PHYS 206 and MATH 142; coreq: PHYS 212L and MATH 241) Electromagnetic fields and oscillations. Calculuslevel treatment, a continuation of PHYS 206.
 208  Principles of Physics III. (3) (Prereq: a grade of C or better in PHYS 207 and MATH 142; coreq: MATH 241) Wave motion, optics, and thermodynamics. Calculuslevel treatment; a continuation of PHYS 207.
 211  Essentials of Physics I. (3) (Prereq: a grade of C or better in MATH 141; coreq: PHYS 211L) Classical mechanics and wave motion. Calculuslevel course for students of science and engineering.
 211L  Essentials of Physics I Lab. (1) (Prereq or coreq: PHYS 206 or 211)
 212  Essentials of Physics II. (3) (Prereq: a grade of C or better in PHYS 211 and MATH 142; coreq: PHYS 212L) Classical electromagnetism and optics.
 212L  Essentials of Physics II Lab. (1) (Prereq or coreq: PHYS 207 or 212)
 307  Introduction to Moder Physics. (3) (Prereq: a grade of C or better in PHYS 207, 208, and MATH 241) Experimental foundations and general concepts of quantum theory; applications to atomic, condensed matter, and nuclear physics.
 308  Classic Experiments in Physics I. (2) (Prereq: PHYS 202, 207, or 212) A laboratory course in the performance and analysis of experiments which have contributed to an understanding of basic concepts. One lecture/recitation and one threehour laboratory period each week.
 309  Classic Experiments in Physics II. (2) (Prereq: PHYS 308) Further experiments which have contributed to an understanding of basic concepts. One lecture/recitation and one threehour laboratory period each week.
 311  Introduction to Applied Numerical Methods. {=EMCH 201} (3) (Prereq: MATH 242; coreq: EMCH 200, MATH 241) Introduction and application of numerical methods to the solution of physical and engineering problems. Techniques include interactive solution techniques, methods of solving systems of equations, and numerical integration and differentiation.
 340  Introduction to Relativistic Astrophysics. {=PHYS 340} (3) (Prereq: ASTR 211, MATH 115 or equivalent, and PHYS 202, 207, or 212) Final states of stellar evolution; white dwarfs, neutron stars, black holes. Cosmology.
 399  Independent Study. (36) Contract approved by instructor, advisor, and department chair is required for undergraduate students.
 441  Topics in Modern Physics. (13) A presentation of recent developments in pure and applied physics. The exact choice of material will be variable, but may include such topics as nuclear structure, low temperature phenomena, and radioastronomy. The emphasis will be on descriptive rather than analytical treatments.
 498  Senior Thesis. (3) An individual investigation in the library or laboratory or both under supervision of the major professor. The preparation of a scientific report is an integral part of the work.
 499  Undergraduate Research. (3) (Prereq: PHYS 308 and 309 and consent of instructor) Introduction to and application of the methods of research. A written report on work accomplished is required at the end of each semester.
 501  Modern Physics. (3) (Prereq: a grade of C or better in PHYS 307 and MATH 242) Special relativity, highenergy physics, and cosmology.
 502  Quantum Physics. (3) (Prereq: a grade of C or better in PHYS 307 and MATH 242) A selfcontained treatment of quantum theory and its applications, beginning with the Schrodinger equation.
 503  Mechanics. (4) (Prereq: PHYS 206, MATH 242 or 520) Classical mechanics of particles, systems, and rigid bodies; discussion and application of Lagrange's equations, introduction to Hamiltonian formulation of mechanics.
 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.
 506  Thermal Physics. (3) (Prereq: PHYS 207) Principles of equilibrium thermodynamics, kinetic theory, and introductory statistical mechanics.
 509  Solid State Electronics. (4) (Prereq: physics through PHYS 302 or PHYS 212 with consent of instructor) 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. (4) (Prereq: PHYS 502) Crystal structure; lattice dynamics; thermal, dielectric, and magnetic properties of solids. Free electron model of metals. Band structure of solids, semiconductor physics. Three lecture and three laboratory hours per week.
 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; wave nature of light, lenses and optical instruments, interferometers, gratings, thin films, polarization, coherence, spatial filters, and holography. Three lecture and three laboratory hours 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.
 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.
