DEPARTMENT OF PHYSICS AND ASTRONOMY

www.physics.unc.edu

Laurie E. McNeil, Chair

Professors

Bruce W. Carney (32) Optical Observational Astrophysics

Gerald N. Cecil (47) Optical Observational Astrophysics

Arthur E. Champagne (51) Experimental Nuclear Physics and Astrophysics

Wayne A. Christiansen (4) Theoretical Astrophysics, Radio Astronomy

Thomas B. Clegg (5) Nuclear Physics, Polarization Phenomena

Louise A. Dolan (49) Theoretical Particle Physics, Quantum Gravity

Jonathan Engel (57) Theoretical Nuclear Physics

Charles R. Evans (48) Gravitation, Relativity, Theoretical Astrophysics

Paul H. Frampton (33) Theoretical Particle Physics (Including Gravity)

John P. Hernandez (10) Condensed Matter Theory, Electron States

Hugon J. Karwowski (37) Experimental Nuclear Physics and Astrophysics

Jianping Lu (56) Condensed Matter Theory

Laurie E. McNeil (36) Solid State, Optical and Transport Properties of Disordered Solids

Y. Jack Ng (30) Theoretical Particle Physics, Gravitation

James A. Rose (41) Galactic and Extragalactic Astronomy

Lawrence G. Rowan (18) Electron Paramagnetic Resonance, Physics of Music, Electronics

Richard Superfine (55) Experimental Studies of Interfaces

Hendrik Van Dam (26) Theoretical Physics (retired)

Sean Washburn (50) Experimental Condensed Matter and Low Temperature Physics

Yue Wu (54) Nuclear Magnetic Resonance, Electron Spin Resonance in Solids

Otto E. Zhou (62) Materials Science, Nanotechnology

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Associate Professors

J. Christopher Clemens (64) Observational Astronomy, Astrophysics, Astronomical Instrumentation

Christian G. Iliadis (61) Experimental Nuclear Astrophysics

Dmitri V. Khveshchenko (1) Theoretical Physics

Lu-Chang Qin (27) Materials Science, Nanotechnology

Frank Tsui (59) Experimental Condensed Matter and Materials Physics

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Assistant Professors

Laura Mersini (19) Theoretical Cosmology

Daniel E. Reichart (13) Gamma Ray Bursts, Early Universe, Interstellar Extinction, Galaxy Clusters

Paul H. E. Tiesinga (6) Computational and Theoretical Neuroscience, Biophysics

Research Professor

Robert K. McMahan Jr. (53) Stellar Evolution and Cosmology

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Research Associate Professors

Nalin R. Parikh (58) Solid State Physics, Materials Science

Russell M. Taylor II, Nanotechnology, Computer Imaging

Research Assistant Professors

Alfred Kleinhammes, Condensed Matter Physics, Materials Science

E. Timothy O'Brien, Physics Related to Biology, Light Microscopy, Biological Sample Preparation

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Adjunct Professors

John M. Bane Jr. (29) Physical Oceanography

William W. Clark III, Electronics, Optics

Richard T. Hammond, General Relativity, Gravity, Optics

Ryan M. Rohm, Quantum Field Theory, Theoretical Particle Physics

John E. Rowe, Materials Science, Nanotechnology

Jie Tang, Materials Physics, Nanomaterials

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Adjunct Associate Professors

John D. Hunn, Applied Condensed Matter Physics

M. Christopher Thompson, High Energy Astrophysics

Anton Tonchev, Nuclear Physics

Adjunct Assistant Professor

Brian R. Stoner, Applied Materials Science

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Professors Emeriti

Wayne A. Bowers

C. Victor Briscoe

Sang-Il Choi

Morris S. Davis

Kian S. Dy

William M. Hooke

Paul S. Hubbard

Horst Kessemeier

Edward J. Ludwig

J. Ross Macdonald

Eugen Merzbacher

Earl N. Mitchell

Everett D. Palmatier

Dietrich Schroeer

Stephen M. Shafroth

Lawrence M. Slifkin

William J. Thompson

James W. York Jr.

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The Department of Physics and Astronomy offers graduate work leading to the degrees of master of science and doctor of philosophy.

The active fields of research are: condensed-matter physics; microelectronics; nuclear physics and astrophysics; quantum field theory; theoretical particle physics; general relativity and gravitation; stellar astronomy; and astrophysics. The chemical physics program combines courses from chemistry and physics with research in either department. Students can also work in the UNC-Chapel Hill biophysics program. The graduate courses are designed to give students a broad foundation and to introduce them to the special fields in which the research interests of the department lie.

The general regulations of The Graduate School govern the work for the degrees of master of science and doctor of philosophy. To begin a graduate program in physics or astrophysics, the student should have completed the requirements for the degree of bachelor of science with a major in physics at the University, or their equivalent elsewhere. The minimum prerequisite for graduate study consists of the basic undergraduate courses PHYS 116, 117, 128, 128L; 301, 302, 341, 415, 311, 312; together with MATH 232, 233, and 524. At the end of the spring semester a student who does not already have a degree in physics or astronomy must take the MS written examination. The examination is based upon the graduate student's first-year course work and will cover dynamics, quantum mechanics I, statistical mechanics, and electromagnetic theory I.

The MS degree in physics may be taken with or without thesis. However, even if a thesis is not submitted, a student must work with a research group for at least one semester, in order to learn the research techniques in a field of physics or astronomy. If the research is theoretical, the student must also gain experimental experience. A minor is not required for the MS degree, but one may be chosen in accord with the regular graduate requirements for this option. The equivalent of one semester teaching experience is required of all MS degree candidates. The MS astrophysics track must include ASTR 701 and a minimum of six hours from ASTR 519, 702, 703, or 704.

The requirements for a PhD in physics for students entering in 2006 are: (a) successful completion of the following courses in the department, or completion of their equivalents elsewhere as an undergraduate or graduate student: 701, 711-712, 741, and 721-722; (b) passing PhD written examination based on core graduate courses in physics as listed in a); (c)in order to acquire some familiarity with experimental physics, a student must earn an MS degree which involves experimental research (whether or not a thesis is written) or perform other experimental research judged adequate by the director of graduate studies; (d) a student must take a course outside his or her field of specialization from a list approved by the director of graduate studies; and (e) a student must pass at least three other graduate-level courses appropriate to his or her field of specialization. A PhD candidate must also take a preliminary doctoral oral examination within the first three years of graduate study in physics at UNC-Chapel Hill. The oral examination is concerned mainly with the student's dissertation research project. A minor is not required, but may be elected, in which case requirement (c) above is replaced by the requirement that the student pass at least five graduate-level courses selected from no more than two departments, with no fewer than two courses in either department. The minor program must be approved in advance by the minor department. Teaching experience, as part of professional training, is required of all doctoral candidates. This experience can be gained through laboratory or lecture instruction as a teaching assistant, either for two semesters or until teaching competence is acquired.

The astrophysics PhD track requirements are similar, except that the course requirements include, in addition to a course outside the specialty, PHYS 701, 711, 721, 741, and ASTR 701, 702, 703, 704, and an additional 700-level course. To gain familiarity with experimental astrophysics or observational astronomy, a student must either: pass ASTR 519/719; or earn an MS degree which involves experimental or observational research in astrophysics; or perform other experimental/observational research deemed suitable by the director of graduate studies.

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Research Interests

Astronomy and Astrophysics. Research includes the structure and evolution of stars, our Milky Way galaxy, other galaxies, gamma ray bursters, and cosmology. Theory involves numerical relativity, stellar seismology, and quasars. UNC-Chapel Hill has guaranteed observing time on the 4.1-meter SOAR Telescope in Chile, which began regular operations in 2004, and on the 11-meter SALT Telescope in South Africa, which began operations in 2005. UNC-Chapel Hill operates a number of smaller robotic telescopes as well.

Biological Physics, Nanobiotechnology, Computational Neurophysics. Theoretical and computational studies of the dynamics of the nervous system. Information-theoretical analysis of multi-neuronal data. Experimental studies include manipulation and force measurement techniques with applications to DNA, molecular motors, and cilia.

Condensed-Matter Physics. Experimental and theoretical studies of nanomaterials. Atomic scale studies of devices and nanoelectromechanical systems, including quantum computation and transport; actuating nanomotors and sensors; amorphous materials, semiconductors; superconductors; the optical properties of solids; properties of metal-atom fluids; charge transport in solids and fluids; epitaxial growth; magnetic materials and heterostructures; and ion beam modification and analysis of solids.

Field Theory, Particle Physics, Cosmology, Gravitation, and Relativity. Research includes gauge field theories, quantum chromodynamics, electroweak theory, grand unified theories, string theory, supersymmetry, supergravity, quantum gravity, theoretical cosmology, numerical relativity, gravitational radiation, and relativistic astrophysics.

Materials Science and Materials Physics. Experimental and theoretical research in the design, synthesis, integration, and characterization of novel solid state materials, including nanostructured materials such as quantum dots, carbon nanotubes and nanorods; quasi-crystals; and metallic glass. Applications of novel materials for energy storage, electron field emission, probes and sensors, and data storage. Applications for flat-panel displays, an X-ray system for biomedical imaging, and rechargeable batteries.

Nuclear Physics. Experimental and theoretical work in neutrino oscillations and mass, fundamental symmetries, and weak interactions in supernovae. The structure and evolution of stars and nucleosynthesis investigations using nuclear probes. The nature of the nuclear force and properties of few-body systems. Polarized beams of light ions and gamma-rays and polarized 3He target. Applied nuclear physics.

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Facilities and Equipment

Facilities. Research in physics and astronomy is carried out in laboratories on and off the Chapel Hill campus. Within Phillips Hall, and soon in the addition now under construction, there are several major research laboratories including the "Nano-manipulator" (a combination of a scanning electron microscope, an atomic force microscope, and sophisticated visualization graphics); the new Keck Laboratory for Atomic Imaging and Manipulation, which includes two transmission electron microscopes; and the Goodman Laboratory for Astronomical Instrumentation. Other facilities include apparatus for nuclear magnetic resonance studies, scanning probe microscopes, and Raman and optical spectrometers. For synthesis and fabrication, major facilities include molecular beam epitaxy, microwave plasma enhanced chemical vapor deposition, laser ablation, photolithography and reactive ion etching, and ion implantation.

A 2.8-MeV Van de Graff accelerator and a 200-keV ion implantation machine are located within the building, as are nanomaterials production and experimental facilities. The department is a partner in the Triangle Universities Nuclear Laboratory and plays a major role in experiments using the Laboratory for Nuclear Astrophysics (LENA), Tandem accelerator, and the High-intensity Gamma-ray Source at the Free Electron Laser facility. UNC-Chapel Hill has a 0.6-meter on-campus telescope, and is a major partner in the 4.1-meter SOAR Telescope in Chile and the 11-meter Southern African Large Telescope (SALT) in South Africa. Numerous national laboratories - including Oak Ridge, Brookhaven, Los Alamos and Argonne, as well as KamLAND, NRAO, NOAO, the Hubble Space Telescope, and the Chandra X-ray Observatory - are also vital parts of our research efforts.

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Fellowships and Assistantships

Many teaching assistantships (with stipends of $16,020 for nine months) are available to qualified graduate students. The duties of assistants include supervising laboratory classes in elementary physics or astronomy, assisting in the supervision of advanced laboratories, teaching recitation sections, and grading papers. Graduate School fellowships, including a microelectronics fellowship for first-year students, are available for well-qualified applicants to the department's graduate program. Teaching assistants can usually be supported in the summer by teaching or research.

Research assistantships are also offered, especially to those who have completed a year or two of graduate work. The stipend is $21,360 for the calendar year. Summer employment is usually available.

Application forms for admission, including graduate appointments, should be completed online at gradschool.unc.edu/students_prospective.html, or may be downloaded from the Web at www.physics.unc.edu.

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Courses for Graduates and Advanced Undergraduates

* ASTR 301 is not to be taken for graduate credit by graduate students in physics and astronomy.

Astronomy

301 [117*] COSMIC EVOLUTION (3). Prerequisites, MATH 232 and ASTR 101 (or permission of the instructor). A course in stellar and planetary astrophysics with emphasis on astronomical conditions for the development and sustenance of life. Fall or spring. Christiansen, staff.

501 [142] ASTROPHYSICS I (Stellar Astrophysics) (3). Prerequisites, PHYS 128, MATH 383, or permission of the instructor. An introduction to the study of stellar structure and evolution. Topics covered include observational techniques, stellar structure and energy transport, nuclear energy sources, evolution of the main-sequence, and supernovae. Fall. Carney, Christiansen, Rose.

502 [143] ASTROPHYSICS II (INTERSTELLAR MATTER AND GALAXIES) (3). Prerequisites, PHYS 128, MATH 383, or permission of the instructor. An introduction to the study of the structure and contents of galaxies. Topics covered include the interstellar medium, interstellar hydrodynamics, supersonic flow and shock formation, star formation, galactic evolution, the expanding universe, and cosmology. Spring. Carney, Christiansen, Rose.

519 [137] OBSERVATIONAL ASTRONOMY (4). Prerequisite, ASTR 101 or permission of the instructor. A course designed to familiarize the student with observational techniques in optical and radio astronomy, including application of photography, spectroscopy, photometry, and radio methods. Three lecture and three laboratory hours a week. (Laboratory fee required.) Fall or spring. (Alternate years.) Rose, staff.

701 [244] PHYSICAL PROCESSES IN STELLAR ATMOSPHERES AND INTERIORS (3). Prerequisites, PHYS 711 and 721. Equation of transfer; continuous and line opacities; model atmospheres; spectral line formation. Equations of stellar structure; energy transport; nuclear reaction rates; modeling stellar evolution. Spring. Carney.

702 [242] HIGH ENERGY ASTROPHYSICS (3). Prerequisites, PHYS 711 and 721. White dwarfs and neutron stars: physical properties and observational manifestations. Extragalactic radio sources, relativistic jets, and supermassive black holes. Particle acceleration and radiative processes in hot plasmas. Accretion phenomena. X-ray and gamma-ray astrophysics. Fall. Evans.

703 [243] GALACTIC DYNAMICS AND PHYSICAL PROCESSES IN THE INTERSTELLAR MEDIUM (3). Prerequisites, PHYS 701 and 721. Collisionless and collisional stellar dynamics; disk dynamics and spiral structure; encounters between stellar systems. Physical processes in diffuse gases, HII regions, and supernova remnants; ionization and energy balance of the interstellar medium; star formation. Fall. Rose.

704 [245] EXTRAGALACTIC ASTROPHYSICS (3). Corequisite, PHYS 701. Hubble law; morphology of galaxies (mass distributions, ages, dynamics); clusters of galaxies; isotropy and voids; microwave background; large-scale structure; Robertson-Walker metric; standard cosmology; Big Bang nucleosynthesis; thermodynamics of expanding universe; inflation; formation of structure. Fall or spring. Cecil.

719 [237] ASTRONOMICAL DATA (4).

891 [350] SEMINAR IN ASTROPHYSICS (1 or more). Recent observational and theoretical developments in stellar, galactic, and extragalactic astrophysics. Fall and spring. Staff.

** PHYS 301-302 and 311-315 are not to be taken for graduate credit by graduate students in physics.

301 [103**] MECHANICS I (3). Prerequisites, PHYS 117 (or permission of the instructor) and MATH 233. Particle kinematics, central forces, planetary motions. systems of particles, conservation laws, nonlinearity. Statics, motion of rigid bodies. Langrange's and Hamilton's equations, Euler's equations. Vibrations and waves. Spring. Washburn, staff.

302 [104**] MECHANICS II (3). Prerequisite, PHYS 301. Advanced topics in mechanics. Fall. Staff.

311 [107], 312 [108**] ELECTRICITY AND MAGNETISM (3 each). Prerequisites, PHYS 117 (or permission of the instructor). Brief treatment of DC and AC circuit theory. Electrostatics; dielectrics; the magnetic field; magnetic materials. Maxwell's equations and their application to electromagnetic waves. Fall and spring. Clegg.

313 [113**] SPACE AND TIME IN PHYSICS AND PHILOSOPHY (3). Contingent and necessary properties of space and time. The direction and flow of time. Fatalism. Effects preceding their causes. Spring. Van Dam, staff.

321 [160] INTRODUCTION TO QUANTUM MECHANICS (3). Prerequisite, PHYS 301, MATH 383, or permission of the instructor. Origins of quantum theory. Uncertainty principle. Schroedinger equation for simple systems, including hydrogen atom. Perturbation theory. Spin. Identical particles. Spring. Khevshchenko.

331 [061] INTRODUCTION TO NUMERICAL TECHNIQUES IN PHYSICS (4). Prerequisite, PHYS 116 (or PHYS 105); corequisite, MATH 233. Applications of calculus, vector analysis, differential equations, complex numbers, and computer programming are made to realistic physical systems. Three lecture and two computational laboratory hours a week. Spring. Staff.

341 [105] HEAT AND THERMODYNAMICS (3). Prerequisites, PHYS 117 (or PHYS 105 by permission of the instructor) and MATH 233. Equilibrium statistical mechanics; the thermodynamics laws, internal energy, enthalpy, entropy, thermodynamic potentials. Maxwell equations. Fall. Wu.

351 [101] ELECTRONICS I (3). Prerequisites, introductory physics and MATH 231, or permission of the instructor. DC and AC circuit analysis, pn junctions and diodes, single-transistor circuits, transducers, op amps, analog devices. Applications in research and industry. . Extensive circuit building with testing, trouble shooting, and debugging. . Fall. Karwowski.

352 [102] ELECTRONICS II (4). Prerequisite, PHYS 351 or permission of the instructor. Advanced topics in analog and digital electronics. Computers and device interconnections, converters and data acquisition. Signal analysis and digital filters. Graphical (LabVIEW) programming and computer interfacing. Individual projects and practical applications. Spring. Karwowski.

415 [106] OPTICS (3). Prerequisites, PHYS 311 and 312 (or PHYS 211 or by permission of the instructor). Elements of geometrical optics. Huyghens' principle, interference, diffraction, and polarization. Elements of the electromagnetic theory of light; Fresnel's equations, dispersion, absorption, and scattering. Photons. Lasers and quantum optics. Spring. McNeil.

422 [122] PHYSICS OF EARTH'S INTERIOR (GEOL 422). Prerequisites, MATH 383, PHYS 201 and PHYS 211, or PHYS 301 and PHYS 311. Origin of the solar system: the nebular hypothesis. Evolution of the earth and its acretionary history. Earthquakes: plate tectonics and the interior of the earth. The earth's magnetic field. Mantle convection.

424 [124] PHYS FOR HIGH SCHOOL TEACHERS (4). 104 for certification of high school teachers.

425 [125] PHYS FOR HIGH SCHOOL TEACHERS (4). 105 for certification of high school teachers.

471 [140] PHYSICS OF SOLID STATE ELECTRONIC DEVICES (3). Prerequisite, 117. Corequisite or prerequisite, PHYS 211 or 311. Properties of crystal lattices, electrons in energy bands, behavior of majority and minority charge carriers, p-n junctions related to the structure and function of semiconductor diodes, transistors, display devices. Fall. McNeil.

472 [144] CHEMISTRY AND PHYSICS OF ELECTRONIC MATERIALS PROCESSING (APPL 472) (CHEM 472) (MTSC 472) (3). Prerequisites, CHEM 482 or PHYS 117 and permission of the instructor. A survey of materials processing and characterization used in fabricating microelectronic devices. Crystal growth, thin film deposition and etching, and microlithography. Spring. Zhou.

481 [142L], 482 [143L] ADVANCED LABORATORY I AND II (2 each). Prerequisite, PHYS 351 or 352 or permission of the instructor. Selected experiments illustrating modern techniques, such as the use of laser technology to study the interaction of electromagnetic fields and matter. Six laboratory hours a week. Fall and spring. McNeil.

491L [148L] MATERIALS LABORATORY I (APPL 491L) (2). Prerequisite, PHYS 352. Prerequisite or corequisite, APPL 470. Structure determination and measurement of the optical, electrical, and magnetic properties of solids. Fall. McNeil.

492 [149L] MATERIALS LABORATORY II (APPL 492L) (2). Prerequisite, PHYS 491 or APPL 491L. Continuation of Physics 491 with emphasis on low- and high-temperature behavior, the physical and chemical behavior of lattice imperfections and amorphous materials, and the nature of radiation damage. Spring. Parikh.

521 [163] APPLICATION OF QUANTUM MECHANICS (3). Prerequisite, PHYS 321. Emphasizes atomic physics but includes topics from nuclear, solid state, and particle physics (such as energy levels, the periodic system, selection rules, and fundamentals of spectroscopy). Fall. Khevshchenko.

543 [161] NUCLEAR PHYSICS (3). Prerequisite, PHYS 321 or equivalent. Structure of the nucleon, symmetries, nuclear forces, nuclear structure and reactions, weak interactions, and physics beyond the standard model. Spring. Champagne.

545 [165] INTRODUCTION TO ELEMENTARY PARTICLE PHYSICS (3). Prerequisites, PHYS 312 and 321. Relativistic kinematics, symmetries and conservation laws, elementary particles and bound states, gauge theories, quantum electrodynamics, chromodynamics, electroweak unification, standard model, and beyond. Spring. Staff.

573 [169] INTRODUCTORY SOLID STATE PHYSICS (3). Prerequisite, PHYS 321 or equivalent. Crystal symmetry, atomic structure of crystalline and noncrystalline solids, and imperfections in crystals; atomic bonding and types of atomic bonds in solids; electron and mechanical waves in solids; thermal, electrical, optical, and magnetic properties of solids; electronic structure and superconductivity of solids. Fall. Hernandez.

595 [175] NONLINEAR DYNAMICS (3). Prerequisite, MATH 383 (or permission). Interdisciplinary introduction to nonlinear dynamics and chaos. Fixed points, bifurcations, strange attractors, with applications to physics, biology, chemistry, finance. Spring. Engel.

631 [191] MATHEMATICAL METHODS OF THEORETICAL PHYSICS I (3). Prerequisites, PHYS 128 or equivalent; MATH 383. Vector fields, curvilinear coordinates, functions of complex variables, linear differential equations of second order, Fourier series, integral transforms. Fall. Dolan.

632 [192] MATHEMATICAL METHODS OF THEORETICAL PHYSICS II (3). Prerequisite, PHYS 631 or permission of the instructor. Partial differential equations, special functions, Green functions, variational methods. Spring. Dolan.

633 [193] SCIENTIFIC PROGRAMMING (3). Prerequisites, MATH 528 or 529, or PHYS 631 or 632; elementary FORTRAN, C, or Pascal programming. Structured programming in FORTRAN or Pascal; use of secondary storage and program packages; numerical methods for advanced problems, error propagation, and computational efficiency; symbolic mathematics by computer. Spring. Staff.

660 [151] FLUID DYNAMICS (MASC 560) (GEOL 560) (ENVR 452) (3). Prerequisite, PHYS 301 or permission of the instructor. The physical properties of fluids, kinematics, governing equations, viscous incompressible flow, vorticity dynamics, boundary layers, and irrotational incompressible flow. Fall. Bane.

671L [181L], 672L [182L] ADVANCED LABORATORY (3 each). Prerequisite, PHYS 301, PHYS 312, or permission of the instructor. Six laboratory hours a week. Fall and spring. McNeil.

Courses for Graduates

*The PHYS 821 and PHYS 896 sequence alternates with PHYS 822-823.

701 [203] CLASSICAL DYNAMICS (3). Prerequisite, advanced undergraduate mechanics. Variational principles, Lagrangian and Hamiltonian mechanics. Symmetries and conservation laws. Two-body problems, perturbations, and small oscillations, rigid-body motion. Relation of classical to quantum mechanics. Fall. Engel.

711 [204] ELECTROMAGNETIC THEORY I (3). Prerequisites, PHYS 631-632 or equivalent. Electrostatics, magnetostatics, time-varying fields, Maxwell's equations. Spring. Evans.

712 [205] ELECTROMAGNETIC THEORY II (3). Prerequisite, PHYS 711 or equivalent. Plane electromagnetic waves and wave propagation, wave guides and resonant cavities, simple radiating systems, scattering and diffraction, special theory of relativity, radiation by moving charges. Fall. Evans.

715 [215] VISUALIZATION IN SCIENCE (COMP 715) (MTSC 715) (3).

721 [260], 722 [261] QUANTUM MECHANICS (3 each). Prerequisite, PHYS 321 or equivalent. Review of nonrelativistic quantum mechanics. Spin, angular momentum, perturbation theory, scattering, identical particles, Hartree-Fock method, Dirac equation, radiation theory. Fall and spring. Lu.

741 [221] STATISTICAL MECHANICS (3). Prerequisites, PHYS 701 and 721. Classical and quantal statistical mechanics, ensembles, partition functions, ideal Fermi and Bose gases. Spring. Ng.

771L [201L], 772L [202L] ADVANCED SPECTROSCOPIC TECHNIQUES (3 each). Prerequisite, PHYS 301, PHYS 312, or permission of the instructor. Advanced spectroscopic techniques, including Rutherford backscattering-channeling, perturbed angular correlation, Raman scattering, electron paramagnetic resonance, nuclear magnetic resonance, optical absorption, and Hall effect. PHYS 771 (fall) has two hours of lecture and three hours of laboratory a week;, PHYS 772 (spring) has one hour of lecture and five hours of laboratory a week. McNeil.

821 [262*] ADVANCED QUANTUM MECHANICS (3). Prerequisite, PHYS 722. Advanced angular momentum, atomic and molecular theory, many-body theory, quantum field theory. Fall. (Alternate years.) Dolan.

822 [263], 823 [264*] FIELD THEORY (3 each). Prerequisite, PHYS 722. Quantum field theory, path integrals, gauge invariance, renormalization group, Higgs mechanism, electroweak theory, quantum chromodynamics, Standard Model, unified field theories. Fall and spring. (Alternate years.) Dolan, Frampton.

824 [291] GROUP THEORY AND ITS APPLICATIONS (3). Prerequisites, knowledge of matrices, mechanics, and quantum mechanics. Discrete and continuous groups. Representation theory. Application to atomic, molecular, solid state, nuclear, and particle physics. As announced. Dolan.

827 [288] PRINCIPLES OF CHEMICAL PHYSICS (CHEM 788) (3). Prerequisite, PHYS 321 or CHEM 781 or permission of the instructor. The quantum mechanics of molecules and their aggregates. Atomic orbitals, Hartree-Fock methods for atoms and molecules. Special topics of interest to the instructor and research students. As announced.

829 [290] PRINCIPLES OF MAGNETIC RESONANCE (3). Prerequisite, PHYS 721, or CHEM 781, or permission of the instructor. Fall or spring, as announced. Wu.

831 [274] DIFFERENTIAL GEOMETRY IN MODERN PHYSICS (3). Prerequisites, PHYS 701, 711, 712. Applications to electrodynamics, general relativity, and nonabelian gauge theories of methods of differential geometry, including tensors, spinors, differential forms, connections and curvature, covariant exterior derivatives, and Lie derivatives. Fall or spring, as announced. Staff.

832 [275] GENERAL THEORY OF RELATIVITY (3). Prerequisite, PHYS 831 or permission of the instructor. Differential geometry of space-time. Tensor fields and forms. Curvature, geodesics. Einstein's gravitational field equations. Tests of Einstein's theory. Applications to astrophysics and cosmology. Fall or spring, as announced. Evans.

861 [230], 862 [231] NUCLEAR PHYSICS (3 each). Prerequisites, PHYS 543 and 721. Nuclear interactions at nonrelativistic energies. Charge and spin dependence in nuclear reactions. Decay modes and electromagnetic properties. Collective and single particle states. Fall and spring. (Alternate years.) Engel.

871 [270], 872 [271] SOLID STATE PHYSICS (MTSC 871, 872) (3 each). Prerequisite, PHYS 321 or equivalent. Topics considered include those of PHYS 573, but at a more advanced level, and in addition a detailed discussion of the interaction of waves (electromagnetic, elastic, and electron waves) with periodic structures; e.g., X-ray diffraction, phonons, band theory of metals and semiconductors. Fall and spring. Hernandez.

873 [272] THEORY OF THE SOLID STATE (3). Prerequisite, PHYS 722. Calculation of one-electron energy band structure. Electron-hole correlation effect and excitons. Theory of spin waves. Many-body techniques in solid state problems including theory of superconductivity. As announced. Lu.

883 [267] CURRENT ADVANCES IN PHYSICS (3). Prerequisite, permission of the instructor. In recent years, elementary particle physics, amorphous solids, neutrinos, and electron microscopy have been among the topics discussed. Fall or spring, as announced. Staff.

Research Courses

893 [370] SEMINAR IN SOLID STATE PHYSICS (1 or more). Research topics in condensed-matter physics, with emphasis on current experimental and theoretical studies. Fall and spring. Washburn.

895 [360] SEMINAR IN NUCLEAR PHYSICS (1 or more). Current research topics in low-energy nuclear physics, especially as related to the interests of the Triangle Universities Nuclear Laboratory. Fall and spring. Karwowski.

896 [380*] SEMINAR IN PARTICLE PHYSICS (1 or more). Symmetries, gauge theories, asymptotic freedom, unified theories of weak and electromagnetic interactions, and recent developments in field theory. Fall and spring. Dolan.

897 [310] SEMINAR IN THEORETICAL PHYSICS (1 or more). Topics from current theoretical research including, but not restricted to, field theory, particle physics, gravitation, and relativity. Fall and spring. Mersini.

899 [322] SEMINAR IN PROFESSIONAL PRACTICE (Var.). Prerequisite, PhD written exam passed. The role and responsibilities of a physicist in the industrial or corporate environment and as a consultant. Fall, spring, and summer. Graduate faculty.

901 [301] RESEARCH (3 or more). Ten or more laboratory or computation hours a week. Fall and spring. Staff.

992 [392] MASTER'S RESEARCH PROJECT (3 or more). Fall or spring. Staff.

993 [393] MASTER'S THESIS (3 or more). Fall or spring. Staff.

994 [394] DOCTORAL DISSERTATION (3 or more). Fall or spring. Staff.

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