# Physics Graduate Courses

Courses numbered 300 and above may be used for graduate credit for non-physics majors, e.g. in filling out a Master's program, as part of a minor in Physics, or for residence credits. A full-year course in general physics is prerequisite for all courses numbered above 300. In addition, calculus (through Math 223, which includes an introduction to differential equations) is prerequisite, except for Physics 371 and 463. Where there is doubt about prerequisites, especially whether other courses are equivalent to the listed prerequisites, consent of the instructor should be obtained. Courses numbered 500 and above are graduate level for both physics and non-physics majors.

For a complete list of graduate courses and programs see the Graduate School Catalog.

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### Courses Carrying Graduate Credit for Non-Physics Majors

- Physics 307: Intermediate Laboratory-Mechanics and Modern Physics
- Physics 308: Intermediate Laboratory-Electromagnetic Fields and Optics
- Physics 311: Mechanics
- Physics 321: Electric Circuits and Electronics
- Physics 322: Electromagnetic Fields
- Physics 325: Wave Motion and Optics
- Physics 371: Acoustics for Musicians
- Physics 407: Advanced Laboratory
- Physics 415: Thermal Physics
- Physics 433: Computational Physics
- Physics 448: Atomic and Quantum Physics
- Physics 449: Atomic and Quantum Physics
- Physics 463: Radioisotopes in Medicine and Biology
- Physics 472: Scientific Background to Global Environmental Problems
- Physics 498: Directed Study
- Physics 499: Directed Study

**307 Intermediate Laboratory-Mechanics and Modern Physics.**I; 1 cr. Experiments in mechanics and modern physics, mainly associated with the subject matter of Physics 241 and 311. P: Physics 202 or 208. Physics 205, 241, or 244 or con reg recommended.**308 Intermediate Laboratory-Electromagnetic Fields and Optics.**II; 1 cr. Experiments in electromagnetic fields and optics, mainly associated with the subject matter of Physics 322 and 325. P: Physics 202 or 208. Physics 205, 241, or 244 recommended. Physics 322 and 325 or con reg recommended.**311 Mechanics.**I, II; 3 cr. Origin and development of classical mechanics; mathematical techniques, especially vector analysis; conservation laws and their relation to symmetry principles; brief introduction to orbit theory and rigid-body dynamics; accelerated coordinate systems; introduction to the generalized-coordinate formalisms of Lagrange and Hamilton. P: Physics 202 or 208 & Math 223.**321 Electric Circuits and Electronics.**I; 4 cr. Direct current circuits, circuit theorems, alternating current circuits, transients, non-sinusoidal sources, Fourier analysis, characteristics of semiconductor devices, typical electronic circuits, feedback, non-linear circuits; digital and logic circuits; three lectures and one three-hour lab per week. P: Physics 202 or 208 & Math 223.**322 Electromagnetic Fields.**I, II; 3 cr. Electrostatic fields, capacitance, multi-pole expansion, dielectric theory; magnetostatics; electromagnetic induction; magnetic properties of matter; Maxwell's equations and electromagnetic waves; relativity and electromagmetism. Experiments for this course are covered in Physics 308. P: Physics 311.**325 Wave Motion and Optics.**I or II; 3 cr. Wave phenomena with specific applications to waves in media and electromagnetic phenomena. Wave equations, propagation, radiation, coherence, interference, diffraction, scattering. Light and its interactions with matter, geometrical and physical optics. Experiments for this course are covered in Physics 308. P: Physics 205, 241, or 244, Physics 311, and 321 (or equiv intro to Fourier analysis). Physics 322 or con reg recommended.**371 Acoustics for Musicians.**I or II; 2 cr. An introduction. Some elementary physics principles to describe such phenomena as wave and sound propagation, the operation of wind and string instruments, and the acoustics of rooms. May not be taken by Physics majors to count as physics credit. P: Advanced Undergrad or Grad st in music, HS algebra.**407 Advanced Laboratory.**II; 2-4 cr. Experimental techniques and experiments in classical and modern physics, many associated with the subject matter of Physics 415, 448, 449. P: Physics 307 or 308 or cons inst.**415 Thermal Physics.**I, II; 3 cr. Thermodynamics, kinetic theory of gases, and statistical mechanics. P: Physics 241, 244, or 205 & 311.**433 Computational Physics.**II; 2-3 cr. Addresses a group of fundamental physics problems that are not analytically tractable but amenable to computational techniques. The topics will be chosen from relativistic dynamics, quantum theory of bound state and scattering systems, thermal and hydrostatic equilibrium in stars. P: Physics 241, 311, Math 320 or 340 or equiv, & knowledge of Fortran. A numerical methods crse (CS 412) recommended.**448 Atomic and Quantum Physics.**I; 3 cr. First semester of a two-semester senior course. Review of atomic and other quantum phenomena and special relativity; introduction to quantum mechanics treating the more advanced topics of atomic physics and applications to molecular, solid state, nuclear, and elementary particle physics and quantum statistics. Experiments underlying this course are covered in Physics 407. P: Physics 205, 241, or 244, and Physics 311 and 322. Not open to those who have had Physics 531.**449 Atomic and Quantum Physics.**II; 3 cr. A continuation of 448. P: Physics 448.**463 Radioisotopes in Medicine and Biology.**(Crosslisted with Med Phys) 2-3 cr. Physical principles of radioisotopes used in medicine and biology and operation of related equipment; lecture and lab. P: Intro physics.**472 Scientific Background to Global Environmental Problems.**(Crosslisted with Atm Ocn) I or II; 3 cr (P-D). A one-semester course designed to provide those elements of physics, atmospheric sciences, chemistry, biology and geology which are essential to a scientific understanding of global environmental problems. Specific examples of such problems include global warming, stratospheric ozone depletion, acid rain and environmental toxins. Three lectures per week. P: HS algebra & 1 sem college level chem or physics, or cons inst.**498 Directed Study.**I, II; 1-3 cr. P: Cons inst.**499 Directed Study.**I, II; 1-3 cr. P: Cons inst.### Graduate Level Courses for Both Physics and Non-Physics Majors

- Physics 501: Radiological Physics and Dosimetry
- Physics 505: Topics in Physics
- Physics 507: Advanced Laboratory
- Physics 522: Advanced Classical Physics
- Physics 525: Introduction to Plasmas
- Physics 527: Plasma Confinement and Heating
- Physics 535: Introduction to Particle Physics
- Physics 545: Introduction to Atomic Structure
- Physics 546: Lasers
- Physics 551: Solid State Physics
- Physics 561: Introduction to Charged Particle Accelerators
- Physics 603: Workshop in College Physics Teaching
- Physics 619: Microscopy of Life
- Physics 623: Electronic Aids to Measurement
- Physics 625: Applied Optics
- Physics 651: Science for Critical Technologies
- Physics 681: Senior Honors Thesis
- Physics 682: Senior Honors Thesis
- Physics 691: Senior Thesis
- Physics 692: Senior Thesis
- Physics 711: Theoretical Physics-Dynamics
- Physics 715: Statistical Mechanics
- Physics 717: Relativity
- Physics 721: Theoretical Physics-Electrodynamics
- Physics 722: Advanced Classical Theoretical Physics
- Physics 724: Waves and Instabilities in Plasmas
- Physics 725: Plasma Kinetic Theory and Radiation Processes
- Physics 726: Plasma Magnetohydrodynamics
- Physics 731: Quantum Mechanics
- Physics 732: Quantum Mechanics
- Physics 735: Particle Physics
- Physics 736: Experimental Techniques in Particle Physics
- Physics 741: Experimental Nuclear Physics
- Physics 742: Theoretical Nuclear Physics
- Physics 746: Quantum Electronics
- Physics 748: Linear Waves
- Physics 751: Advanced Solid State Physics
- Physics 752: Many-Body Problems in Solid State Physics
- Physics 771: Physics of Space
- Physics 772: High Energy Astrophysics
- Physics 799: Independent Study
- Physics 801: Special Topics in Theoretical Physics
- Physics 805: Special Topics in Physics
- Physics 831: Advanced Quantum Mechanics
- Physics 832: Advanced Quantum Mechanics
- Physics 833: Advanced Math in Quantum Field Theory
- Physics 835: Collider Physics Phenomenology
- Physics 848: Nonlinear Waves
- Physics 903: Seminar-Theoretical Physics
- Physics 910: Seminar in Astrophysics
- Physics 922: Seminar in Plasma Physics
- Physics 926: Seminar in Plasma-Aided Manufacturing
- Physics 935: Seminar in Experimental and Phenom-enological High Energy Physics
- Physics 941: Seminar-Nuclear Physics
- Physics 943: Seminar-Atomic Physics
- Physics 951: Seminar-Solid State Physics
- Physics 960: Seminar-Particle Accelerators
- Physics 965: Special Topics-Particle Accelerators
- Physics 990: Research

**501 Radiological Physics and Dosimetry.**(Crosslisted with H Oncol, Physics, BME) 3 cr. Interactions and energy deposition by ionizing radiation in matter; concepts, quantities and units in radiological physics; principles and methods of radiation dosimetry. P: Calculus and modern physics.**505 Topics in Physics.**Irr; 1-3 cr. Discussions of recent research. To be offered as need and opportunity arise. Different sections may be offered simultaneously in two or more areas of physics. May be repeated for credit. P: Cons inst.**507 Advanced Laboratory.**II; 1-2 cr. Experimental techniques and experiments in classical and modern physics, many associated with the subject matter of Physics 415, 448, 449. P: Physics 307 or 308 or cons inst.**522 Advanced Classical Physics.**II, Odd Yrs; 3 cr. Selected topics in classical physics such as vibrations, non-linear mechanics, elasticity, hydrodynamics, acoustics, chaos, and electromagnetic theory. P: Physics 311 and 322 or equiv.**525 Introduction to Plasmas..**(Also ECE, Engr. Physics 525.) I, II; 3 cr. Theory of plasmas. Plasma kinetic theory, collisional processes, orbit theory, and hydrodynamic theory. Applications to plasmas and their measurement. P: One course each in electromagnetic fields and in mechanics beyond elementary physics.**527 Plasma Confinement and Heating..**(Also Engr. Phys., ECE 527.) I; 3 cr. Principles of magnetic confinement and heating of plasmas for controlled thermonuclear fusion: magnetic field structures, single particle orbits, equilibrium, stability, collisions, transport, heating, modeling and diagnostics. Discussion of current leading confinement concepts: tokamaks, tandem mirrors, stellarators, reversed field pinches, etc. P: Engr. Physics/Physics/ECE 525 or equiv.**531 Introduction to Quantum Mechanics.**II; 3 cr. Historical background and experimental basis, de Broglie waves, correspondence principle, uncertainty principle, Schrodinger equation, hydrogen atom, electron spin, Pauli principle; applications of wave mechanics. P: Physics 311 & 322 & a course in modern physics, or equiv, or cons inst. Not open to those who have had Physics 448.**535 Introduction to Particle Physics.**I; 3 cr. Introduction to particles, antiparticles and fundamental interactions; detectors and accelerators; symmetries and conservation laws; electroweak and color interactions of quarks and leptons; unification theories. P: Physics 531 or equiv.**545 Introduction to Atomic Structure.**I; 3 cr. Nuclear atom; hydrogen atom; Bohr-Sommerfeld model, wave model, electron spin, description of quantum electron spin, description of quantum electrodynamic effects; external fields; many-electron atoms; central field, Pauli principle, multiplets, periodic table, x-ray spectra, vector coupling, systematics of ground states; nuclear effects in atomic spectra. P: A course in quantum mechanics or cons inst.**546 Lasers.**(Crosslisted with ECE) II; 2-3 cr. General principles of laser operation; laser oscillation conditions; optical resonators; methods of pumping lasers, gas discharge lasers, e-beam pumped lasers, solid state lasers, chemical lasers, and dye lasers; gain measurements with lasers; applications of lasers. P: Physics 322 or ECE 420 or equiv; Physics 545, or 449 or 531.**551 Solid State Physics.**I, II; 3 cr. Mechanical, thermal, electric, and magnetic properties of solids; band theory; semiconductors; crystal imperfections. P: A course in quantum mechanics or cons inst.**561 Introduction to Charged Particle Accelerators..**(Also Engr. Physics, ECE 561.) Irr; 3 cr. Charged particle accelerators and transport systems, behavior of particles in magnetic fields, orbit theory, stability criteria, acceleration theory. Applications to different types of accelerators. P: Math 322, Engr Mech 202 or Physics 311, Physics 322 or cons inst.**601 Scientific Presentation.**I, II; 2 cr. Oral and written reports to give practice in the presentation of scientific papers. P: Grad st or Sr st in the Honors program or cons inst.**603 Workshop in College Physics Teaching.**Irr; 1-2 cr. P: At least 9 cr in intmed physics.**619 Microscopy of Life.**(Crosslisted with Anatomy, BME, Chem, Med Phys, Phmcol M, Radiol) 3 cr. Survey of state of the art microscopic, cellular and molecular imaging techniques, beginning with subcellular microscopy and finishing with whole animal imaging. P: 2nd semester intro physics including light & optics (e.g. 104, 202, 208) or cons inst.**623 Electronic Aids to Measurement.**(Crosslisted with Atm Ocn) I; 4 cr. Fundamentals of electronics, electronic elements, basic circuits; combinations of these into measuring instruments. Three lectures and one three-hour lab per week. P: Physics 321 or cons inst.**625 Applied Optics.**II; 4 cr. Optical methods in research and technology. Reflection, refraction, absorption, scattering. Imaging. Sources and sensors. Schlieren methods. Interferometry. Instrumental spectroscopy. Fourier optics, image processing, holography. Laser technology, Gaussian beams, nonlinear optics. P: Three semesters of calculus level physics or equiv. Sr or Grad st or cons inst.**651 Science for Critical Technologies.**(Crosslisted with MS&E, Chem) Irr.; 3 cr (P-A). Explores how basic science impacts cutting-edge technology, using specific examples taken from technologies of critical importance to the US economy. Speakers from industry and academia. P: Chem 561, Chem 310, MS&E 350 or cons inst.**681 Senior Honors Thesis.**2-3 cr.**682 Senior Honors Thesis.**2-3 cr.**691 Senior Thesis.**2 cr.**692 Senior Thesis.**2 cr.**711 Theoretical Physics-Dynamics.**I; 3 cr. Lagrange's equations, Hamilton's principle, orbits and scattering, kinematics of rotation, dynamics of rigid bodies, small oscillation problems and normal coordinates, Lorentz transformations and relativistic mechanics, Hamiltonian formulation of mechanics, canonical transformations, symmetries and conservation laws, Hamilton-Jacobi theory. P: Physics 311 or equiv.**715 Statistical Mechanics.**I, II; 3 cr. Statistical foundations, Liouville's theorem, ensembles, classical and quantum distribution functions, entropy and temperature, connection with thermodynamics, partition functions, quantum gases, non-ideal gases, phase transitions and critical phenomena, non-equilibrium problems, Boltzmann equation and the H-theorem, transport properties, applications of statistical mechanics to selected problems. P: Physics 711, 531 & 415, or equiv.**717 Relativity.**II, Even Yrs; 3 cr. Special and general theories of relativity, relativistic electrodynamics, cosmology, unified field theories. P: Physics 721.**721 Theoretical Physics-Electrodynamics.**I, II; 3 cr. Electrostatics, magnetostatics, Green functions, boundary value problems, macroscopic media, Maxwell's equations, the stress tensor and conservation laws, electromagnetic waves, wave propagation, dispersion, waveguides, radiation, multipole expansions, diffraction and scattering, special relativity, covariance of Maxwell's equations, Lienard-Wiechert potentials, radiation by accelerated charges. P: Physics 322 or equiv.**722 Advanced Classical Theoretical Physics.**II; 3 cr. Selected topics in dynamics, electromagnetism, or other areas. P: Physics 721.**724 Waves and Instabilities in Plasmas.**(Crosslisted with Engr. Physics, ECE) II; 3 cr. Waves in a cold plasma, wave-plasma interactions, waves in a hot plasma, Landau damping, cyclotron damping, magneto-hydrodynamic equilibria and instabilities, microinstabilities, introduction to nonlinear processes, and experimental applications. P: Engr. Physics/ECE/Physics 525 & Physics 721 or ECE 740 or cons inst.**725 Plasma Kinetic Theory and Radiation Processes..**(Also Engr. Physics, ECE 725.) I; 3 cr. Boltzmann equation, Fokker-Planck methods, dynamical friction, neoclassical and pseudoclassical diffusion, collision integrals, radiation processes, including stimulated and spontaneous emission, bremsstrahlung, atomic processes, experimental applications. P: Physics, ECE, Engr. Physics 525 & Physics 721 or ECE 740 or cons inst.**726 Plasma Magnetohydrodynamics.**(Crosslisted with Engr. Physics, ECE) II; 3 cr. MHD equations and validity in hot plasmas; magnetic structure and magnetic flux coordinates; equilibrium in various configurations; stability formulation, energy principle, classification of instabilities; ideal and resistive instability in various configurations, evolution of nonlinear tearing modes; force-free equilibria, helicity, MHD dynamo; experimental applications. P: Engr. Physics/ECE/Physics 525 & Physics 721 or ECE 740 or cons inst.**731 Quantum Mechanics.**I; 3 cr. Schrodinger equation, operator theory, matrix mechanics, transformation theory, Heisenberg representation, orbital angular momentum, bound-state problems, scattering theory, stationary perturbation theory, degenerate systems, time-dependent perturbation theory, Born approximation, other approximation methods. P: Physics 711, & 449 or 531, or equiv.**732 Quantum Mechanics.**II; 3 cr. Interaction of electromagnetic radiation with matter, quantization of the electromagnetic field, spontaneous transitions, identical particles and spin, addition of angular momenta, tensor operators, complex atoms, Hartree approximation, molecules, Dirac equation, relativistic effects in atoms. P: Physics 721 & 731.**735 Particle Physics.**II; 3 cr. Structure of elementary particles, quarks and gluons, introduction to calculational techniques of particle interactions (Feynman diagrams), constituent models of electroweak and strong interactions and associated phenomenological techniques. P: Physics 535, 731 or equiv or cons inst.**736 Experimental Techniques in Particle Physics.**Irr; 3 cr. Interaction of particles with matter; gas detectors (proportional and drift chambers); low noise electronics; techniques of calorimetry; triggering; event recording and data handling; motion of charged particles in accelerators and storage rings; colliding beam machines and detectors. P: Physics 535 or cons inst.**741 Experimental Nuclear Physics.**Irr; 3 cr. Basic properties of nuclei, nuclear forces and energetics; scattering, reaction, radioactivity; nuclear radiations, their interactions with matter and detection. P: Physics 531 or 449.**742 Theoretical Nuclear Physics.**Irr; 3 cr. Theory of nuclear structure, scattering and reaction theory, interpretation of experiments relevant to nuclear forces, beta decay and electromagnetic interactions, nuclear models. P: Physics 731 & 741.**746 Quantum Electronics.**(Crosslisted with ECE) I, Even Yrs; 3 cr. Elementary aspects of Lagrange theory of fields and field quantization; Bose, Fermi and Pauli operators; interaction of fields; quantum theory of damping and fluctuations; applications to lasers, nonlinear optics, and quantum optics. P: ECE-Physics 546; Physics 721 or ECE 740.,strong>748 Linear Waves.. (Also ECE 748.) I; 3 cr. General considerations of linear wave phenomena; one dimensional waves; two and three dimensional waves; wave equations with constant coefficients; inhomogenous media; random media. Lagrangian and Hamiltonian formulations; asymptotic methods. P: ECE 440 or Physics 322 or cons inst.

**749 Coherent Generation and Particle Beams.**(Crosslisted with ECE, Engr) 3 cr. Fundamental theory and recent advances in coherent radiation charged particle beam sources (microwave to X-ray wavelengths) including free electron lasers, wiggler/wave-particle dynamics, Cerenkov masers, gyro-trons, coherent gain and efficiency, spontaneous emission, beam sources and quality, related accelerator concepts experimental results and applications. P: ECE 740 or Physics 721, or equiv, or cons inst.**751 Advanced Solid State Physics.**I, Odd Yrs; 3 cr. Lattice dynamics; band theory; Fermi surfaces; electrodynamics of metals; optical properties; transport properties. P: Physics 731 and 551 or equiv.**752 Many-Body Problems in Solid State Physics.**II, Odd Yrs; 3 cr. Introduction to many-body problems in solids: phonons, magnons, homogeneous electron gas, superconductivity, disordered systems. P: Physics 731.**771 Physics of Space.**Irr; 3 cr. Physics of the solar atmosphere; particles and fields in interplanetary space; dynamical behavior, composition, and interactions of interplanetary plasma. P: Physics 322 and 415.**772 High Energy Astrophysics.**Spring semester of odd calendar years; 3 cr. Interactions among the particles, fields, and radiations of interstellar and intergalactic space. Gamma ray, x-ray, and cosmic ray production, propagation, and detection. P: Physics 721 or 322, basic knowledge of spec relativity, basic diff equations, or cons inst.**799 Independent Study**I, II; 1-3 cr. P: Cons inst.**801 Special Topics in Theoretical Physics.**I, II; 1-3 cr. Can be repeated for credit. P: Cons inst.**805 Special Topics in Physics.**I, II; 1-3 cr. Can be repeated for credit. P: Cons inst.**831 Advanced Quantum Mechanics.**I; 3 cr. Quantum theory of free and interacting fields, formal scattering theory, dispersion theory. P: Physics 732.**832 Advanced Quantum Mechanics.**II; 3 cr. Continuation of 831. P: Physics 831.**833 Advanced Math in Quantum Field Theory.**Irr; 3 cr. The use in physics, most specifically nonabelian gauge field theory, of differential forms, homology, cohomology, homotopy, index theorems, fiber bundles, parallel transport, connections, curvature, characteristic classes, moduli space, Morse theory, and assorted other mathematics, is motivated, developed, and illustrated. P: Physics 731, 732 & 831; or cons inst.**835 Collider Physics Phenomenology.**I; 2-3 cr. Standard gauge model. Applications to e+e-, proton-antiproton, pp, and ep colliders. Jets. Weak boson, heavy-quark, and Higgs boson production and decay. Neutrino counting. Neutral B meson mixing. Quarkonia. Supersymmetry. Fourth generation. P: Physics 735 or equiv or cons inst.**848 Nonlinear Waves..**(Also ECE 848.) II; 3 cr. General considerations of nonlinear wave phenomena; nonlinear hyperbolic waves; nonlinear dispersion; nonlinear geometrical optics; Whitham?s variational theory; nonlinear and parametric instabilities; solitary waves; inverse scattering method. P: ECE 748 or cons inst**900 Colloquium.**I, II; 0-1 cr. Lectures by staff and visitors. P: Cons inst if taken for 1 cr.**903 Seminar-Theoretical Physics.**I, II; 0-1 cr.**910 Seminar in Astrophysics.**(Crosslisted with Astron) 0-1 cr. Current topics. P: Cons inst.**922 Seminar in Plasma Physics.**(Crosslisted with ECE, Engr) 0-1 cr.**926 Seminar in Plasma-Aided Manufacturing.****(Crosslisted with ECE, ChE, Chem, MS&E, and Engr) I, II; 0-1 cr. Seminar on topical issues and research in plasma-aided manufacturing. P: Cons inst.****935 Seminar in Experimental and Phenom-enological High Energy Physics.**Irr; 0-1 cr. P: Cons inst.**941 Seminar-Nuclear Physics.**I, II; 0-1 cr.**943 Seminar-Atomic Physics.**I, II; 0-1 cr.**951 Seminar-Solid State Physics.**I, II; 0-1 cr.**960 Seminar-Particle Accelerators.**(Crosslisted with ECE, Engr) Irr; 0-1 cr.**65 Special Topics-Particle Accelerators.**(Crosslisted with ECE, Engr) Irr; 1-3 cr. This course will cover one or more special topics of interest to students of accelerator science. Announcements of topics to be covered will be posted. Course may be repeated for credit. P: Physics, Engr, ECE 561.**990 Research.**I, II, SS; 1-12 cr.