PHYSICS
Professors L.C. Maximon (Research), W.J. Briscoe, M.E. Reeves, I. Strakovsky (Research), A.K. Opper (Chair), G. Feldman, F.X. Lee, A. Eskandarian, C. Zeng
Associate Professors H. Haberzettl, K.S. Dhuga, R.L. Workman (Research), W. Peng, H. Griesshammer, A. Afanasev
Assistant Professors G. Wang (Research), A. Alexandru, X. Qiu, M. Paris (Research), E.J. Downie, B.C. Kung, R. Teodorescu (Teaching), A. Corsi, O. Karaltse, G. Lan
Professorial Lecturers J.T. Broach, M.F. Corcoran, P. Butterworth, C. O’Donnell, A. Moscati, L. Medsker, I. Moskowitz
Master of Science in the field of physics—Prerequisite: a bachelor’s degree with a major in physics at this University, or an equivalent degree.
Required: the general requirements stated under Columbian College of Arts and Sciences, and 36 credit hours of graduate course work, including Phys 6110, 6120, 6210, 6220, 6310, 6580, 6510, 6130, 6230, 6330, and either two courses chosen from Phys 6610, 6710, 6620, 6720, 6630, 6730 or, for the thesis option, Phys 699899.
Doctor of Philosophy in the field of physics—Required: the general requirements stated under Columbian College of Arts and Sciences, including the following required courses: Phys 6110, 6120, 6210, 6220, 6310, 6320, 6580, 6130, 6230, 6330, 6510, and either 6610 and 6710, or 6620 and 6720, or 6630 and 6730.
Research fields: nuclear physics—experimental and theoretical studies on the structure, electromagnetic and weak and strong interactions, and scattering of fewbody systems at low and intermediate energies; biophysics and condensedmatter physics—experimental studies using scanning probebased nearfield microscopy, statistical and computational biophysics in protein design, bionetworks and evolution; theoretical and observational astrophysics, interdisciplinary physics, including coherent radiation physics, and applied physics, including medical physics.
With permission, a limited number of upperdivision undergraduate courses in the department may be taken for graduate credit; additional course work is required. See the Undergraduate Programs Bulletin for course listings.
Departmental prerequisite: Consent of a departmental graduate advisor is required for admission to all graduate courses in physics.
6110 
Mathematical Methods of Theoretical Physics (4) 


Calculus of variations. Group theory. Tensor calculus. Review of techniques of linear algebra. Hilbert spaces and operator theory. Special functions and expansion in complete orthogonal sets of functions. Solutions of partial differential equations, Green’s functions method and boundaryvalue problems. Integral equations. Complex analysis and theory of analytic functions. Corequisite: Phys 6130. (Fall) 
6120 
Advanced Mechanics (4) 


Analytic methods of mechanics as a basis for modern theory. Variational principles. Lagrange’s equations. Hamiltonian formulation. Canonical transformations. Classical perturbation theory. Nonlinear systems. Special relativity. Corequisite: Phys 6130. (Fall) 
61306230 6330 
Computational Physics I–III (1 each) 


Phys 6130 is taken in conjunction with Phys 6110 and 6120; Phys 6230, with Phys 6210 and 6220; Phys 6330, with Phys 6320 and 6310. 
6210 
Electrodynamics and Classical Field Theory (4) 


Principles of electro and magnetostatics. Classical field theory. Maxwell’s equations, leastaction and symmetry principles. Timevarying fields and plane–wave propagation. Radiating systems and scattering of radiation, including multipole fields. Dynamics of relativistic particles and radiation from moving charges. Electrodynamics in media: relation between microscopic parameters and macroscopic observables. Corequisite: Phys 6230. (Spring) 
62206320 
Quantum Mechanics (44) 


General aspects of quantum mechanics with emphasis upon the developmental principles involved. Operators, representations, transformation theory. Schroedinger and Heisenberg pictures, angular momentum, perturbation and scattering theory. Introduction to relativistic quantum field theory, firstorder electromagnetic processes. Manybody theory. Corequisite to Phys 6220: Phys 6230; to Phys 6320: Phys 6330. (Academic year) 
6310 
Statistical Mechanics (4) 


Classical and quantum statistics. Gibbs paradox, microscopic origins of entropy and other thermodynamic variables, fluctuations, ensemble theory, partition functions, distribution functions, density matrices. Applications include the harmonic oscillator, magnetic systems, ideal Fermi–Dirac and Bose–Einstein systems, blackbody radiation, phonons. Renormalization group, phase transitions and critical phenomena. Corequisite: Phys 6330. (Fall) 
6580 
Graduate Laboratory (3) 


Selected experiments on nuclear and solidstate physics. Laboratory fee. (Fall and spring) 
6590 
Seminar (01) 


Lectures on current topics in physics. May be repeated for credit. 
66106710 
Nuclear and Particle Physics I–II (33) 


Theory and experiment of the standard model of elementary particle physics of strong and electroweak interactions. Emergence of nuclear interactions and pion physics. Effective field theory, nonperturbative methods, lattice simulations, nuclear models, nuclear reactions. Path integral, gauge fields, Smatrix theory, dispersion relations, renormalization program. Prerequisite: Phys 6320. (Academic year) 
66206720 
Biophysics I–II (33) 


Phys 6620: Topics include molecular biophysics, modern simulation methodologies and experimental methodologies for probing biological systems. Phys 6720: Topics include theoretical and computational methods for genes, proteins, and bionetworks; models of biological complexity; applications of nonequilibrium statistical mechanics and combinatorial optimization. Prerequisite: Phys 6310. May be repeated for credit. (Academic year) 
66306730 
Astrophysics I–II (33) 


Astrophysical examination of stellar evolution, including properties of stellar matter, equations of state, nucleosynthesis, red giants, supernovae, white dwarfs, close binary stellar systems, gammaray bursts. Overview of observational techniques, including photometry; IR, UV, Xray observation, gammaray frequencies; astrophysical data analysis; evidence for stellar and cosmological models. (Academic year) 
6510 
Communications in Physics (0 to 3) 


Student presentations on advanced topics in physics. 
699899 
Thesis Research (33) 

8110 
Selected Topics in Theoretical Nuclear Physics (3) 


May be repeated once for credit with permission of graduate advisor. 
8120 
Selected Topics in Experimental Nuclear Physics (3) 


May be repeated once for credit with permission of graduate advisor. 
8130 
Selected Topics in Theoretical Biophysics (3) 


May be repeated once for credit with permission of graduate advisor. 
8140 
Selected Topics in Experimental Biophysics (3) 


May be repeated once for credit with permission of graduate advisor. 
8150 
Selected Topics in Astrophysics (3) 


May be repeated once for credit with permission of graduate advisor. 
8998 
Advanced Reading and Research (arr.) 


Limited to students preparing for the Doctor of Philosophy general examination. May be repeated once for credit. 
8999 
Dissertation Research (arr.) 


Limited to Doctor of Philosophy candidates. May be repeated for credit. 
