Graduate Courses
Graduate Course Descriptions
Physics
P460 Modern Optics (3 cr.) N&M P: P331 or consent of instructor. Physical optics and electromagnetic waves based on electromagnetic theory, wave equations; phase and group velocity; dispersion; coherence; interference; diffraction; polarization of light and of electromagnetic radiation generally; wave guides; holography; masers and lasers; introduction to optical spectroscopy.
P500 Seminar (1 cr.) Reports on current literature. Graduate students and staff participate.
P504 Practicum in Physics Laboratory Instruction (1 cr.) Practical aspects of teaching physics labs. Meets the week before classes and one hour per week during the semester to discuss goals, effective teaching techniques, grading standards, AIstudent relations, and administrative procedures as applied to P201. Students enrolling in this course teach a section of P201 laboratory.
P506 Electricity and Magnetism I (4 cr.) Three hours of lectures and one hour of recitation. Development of Maxwell's equations. Conservation laws. Problems in electrostatics and magnetostatics. Introduction to the special functions of mathematical physics. Timedependent solutions of Maxwell's equations. Motion of particles in given electromagnetic fields. Elementary theory of radiation. Plane waves in dielectric and conducting media. Dipole and quadruple radiation from nonrelativistic systems.
P507 Electricity and Magnetism II (4 cr.) Three hours of lectures and one hour of recitation. Further development of radiation theory. Fourier analysis of radiation field and photons. Scattering and diffraction of electromagnetic waves. Special relativity. Covariant formulation of electromagnetic field theory.
P508 Current Research in Physics (1 cr.) Presentations by faculty members designed to give incoming graduate students an overview of research opportunities in the department.
P511 Quantum Mechanics I (4 cr.) Three hours of lectures and one hour of recitation. Basic principles, the Schrödinger equation, wave functions, and physical interpretation. Bound and continuum states in onedimensional systems. Bound states in central potential; hydrogen atom. Variational method. Timeindependent perturbation theory.
P512 Quantum Mechanics II (4 cr.) P: P511. Three hours of lectures and one hour of recitation. Timedependent perturbation theory. Schrödinger, Heisenberg and interaction pictures. Elementary theory of scattering. Rotations and angular momentum. Other symmetries. Nonrelativistic, manyparticle quantum mechanics, symmetry and antisymmetry of wave functions, and HartreeFock theory of atoms and nuclei.
P521 Classical Mechanics (3 cr.) Vector and tensor analysis. Lagrangian and Hamiltonian dynamics. Conservation laws and variational principles. Twobody motion, manyparticle systems, and rigidbody motion. Canonical transformations and HamiltonJacobi theory. Continuum mechanics with introduction to complex variables.
P522 Advanced Classical Mechanics (3 cr.) Mathematical methods of classical mechanics; exterior differential forms, with applications to Hamiltonian dynamics. Dynamical systems and nonlinear phenomena; chaotic motion, period doubling, and approach to chaos.
P526 Principles of Health Physics and Dosimetry (3 cr.) This course provides theoretical and practical aspects of radiation protection, including interaction of radiation with matter; radiation protection standards; radiation puantities and units; risk evaluation and dose limits; internal dose calculations; external dosimetry and personnel monitoring; and health physics.
P535 Introduction to Nuclear and Particle Physics (3 cr.) P: P453 or equivalent. Survey of the properties and interactions of nuclei and elementary particles. Experimental probes of subatomic structure. Basic features and symmetries of electromagnetic, strong and weak forces. Models of hadron and nuclear structure. The role of nuclear and particle interactions in stars and the evolution of the universe.
P537 Neutron Physics and Scattering (3 cr.) An interdisciplinary survey of the physics of neutrons, ideas and techniques of neutron scattering. Examples taken from applications of neutron scattering in biology, chemistry, geology, materials science, and physics.
P540 Digital Electronics (3 cr.) Digital logic, storage elements, timing elements, arithmetic devices, digitaltoanalog and analogtodigital conversion. Course has lectures and labs emphasizing design, construction, and analysis of circuits using discrete gates and programmable devices.
P541 Analog Electronics (3 cr.) Amplifier and oscillator characteristics feedback systems, bipolar transistors, fieldeffect transistors, optoelectronic devices, amplifier design, power supplies, and the analysis of circuits using computeraided techniques.
P548 Mathematical Methods for Biology (3 cr.) Physical principles applied to modeling biological systems to obtain analytical models that can be studied mathematically and tested experimentally.
P551 Modern Physics Laboratory (3 cr.) Graduatelevel laboratory; experiments on selected aspects of atomic, condensedmatter, and nuclear physics.
P555 Quantum Computation and Information (3 cr.) The course covers basic concepts in quantum computation and information including: standard qubit model of computation, quantum algorithms such as Shor's factoring and Grover's search algorithms, physics of information processing, quantum error correction, and physical implementations of quantum computers.
P556 Statistical Physics (3 cr.) The laws of thermodynamics; thermal equilibrium, entropy, and thermodynamic potentials. Principles of classical and quantum statistical mechanics. Partition functions and statistical ensembles. Statistical basis of the laws of thermodynamics. Elementary kinetic theory.
P557 Solid State Physics (3 cr.) P: P453 or equivalent. Atomic theory of solids. Crystal and band theory. Thermal and electromagnetic properties of periodic structures.
P570 Introduction to Accelerator Physics (3 cr.) P: approval of instructor. Overview of accelerator development and accelerator technologies. Transverse phase space motion and longitudinal synchrotron motion of a particle in an accelerator. Practical accelerator lattice design. Design issues relevant to synchrotron light sources. Basics of free electron lasers. Spin dynamics in cyclic accelerators and storage rings.
P571 Special Topics in Physics of Beams (3 cr.) P: approval of instructor.
P572 Radiation Oncology Physics (3 cr.) This is an introductory course to the physical principles, equipment, processes, imaging guidance and clinical techniques involved in the treatment of cancer patients with external radiation beams and radioactive sources. Various external radiation beam types and their energy deposition characteristics are described. Treatment planning dose calculation algorithms and point dose calculations are discussed. The use of international dosimetry protocols for radiation beam calibrations are covered in detail.
P575 Introductory to Biophysics (3 cr.) Physics P575 presents an introduction to Biophysics. Topics include: properties of biomolecules and biomolecular complexes; biological membranes, channels, neurons; Diffusion, Brownian motion; reactiondiffusion processes, pattern formation; sensory and motor systems; psychophysics and animal behavior, statistical inference.
P576 Introduction to Medical Diagnostic Imaging (3 cr.) This course teaches the fundamentals of medical imaging, including the basic physics and engineering associated with each imaging modality (CT, MRI, PET, and Ultrasound) as well as mathematics and comutational tools associated with image reconstruction and image processing. The course is intended for students in biomedical engineering, physics, and medical sciences.
P578 Radiation Biophysics (3 cr.) This course emphasizes the effects of ionizing radiation at the cellular/molecular, tissue, and organismal level. The course is especially relevant for students training in cancer biology, radiation oncology, radiology, radiation protection, public health, and medical physics. Topics include radiationinduced acute and late effects in normal tissue and tumors, DNA repair, chemical modifiers of radioresponse, the radiobiological basis of radiotherapy, radioheritable effects, consequences of wholebody irradiation, and carcinogenesis.
P581 Modeling and Computation in Biophysics (3 cr.) Introduction to modeling and computational methods applied to phenomena in Biophysics. Topics: population dynamics; reaction kinetics; biological oscillators; coupled reaction networks; network theory; molecular motors; limit cycles; reaction diffusion models; the heart; turning instability; bacterial patterns; angiogenesis.
P582 Biological and Artificial Neural Networks (3 cr.) Biological details of neurons relevant to computation. Artificial neural network theories and models, and relation to statistical physics. Living neural networks and critical evaluation of neural network theories. Student final projects will consist of programming networks and applying them to current research topics.
P583 Signal Processing and Information Theory in Biology (3 cr.) Probability and statistics. Filtering. Correlation functions and power spectra. Time invariant and timevarying systems. Shannon Information. Coding and decoding. Processing of sensory signals and other applications to neurobiology and psychophysics.
P607 Group Representations (3 cr.) P: consent of instructor. Elements of group theory. Representation theory of finite and infinite compact groups. Study of the point crystal, symmetric, rotation, Lorentz, and other classical groups as time permits. Normally offered in alternate years; see also MATH M607M608.
P609 Computational Physics (3 cr.) Designed to introduce students (1) to numerical methods for quadrature, solution of integral and differential equations, and linear algebra; and (2) to the use of computation and computer graphics to simulate the behavior of complex physical systems. Topics will vary.
P610 Computational Physics II (3 cr.) Second semester of computational physics focusing on more advanced topics; e.g.: fractals, kinetic growth models, models in statistical mechanics, quantum systems and fast Fourier transforms, parallel computing.
P615P616 Physics of the Solid State III (33 cr.) P: P512. Mechanical, thermal, electric, and magnetic properties of solids; crystal structure; band theory; semiconductors; phonons; transport phenomena; superconductivity; superfluidity; and imperfections. Usually given in alternate years.
P621 Relativistic Quantum Field Theory I (4 cr.) P: P512. Introduction to quantum field theory, symmetries, Feynman diagrams, quantum electrodynamics, and renormalization.
P622 Relativistic Quantum Field Theory II (4 cr.) P: P621. NonAbelian gauge field theory, classical properties, quantization and renormalization, symmetries and their roles, and nonperturbative methods.
P625 Quantum ManyBody Theory I (3 cr.) P: P512. Elements of nonrelativistic quantum field theory: second quantization, fields, Green's functions, the linkedcluster expansion, and Dyson's equations. Development of diagrammatic techniques and application to the degenerate electron gas and imperfect Fermi gas. Canonical transformations and BCS theory. Finitetemperature (Matsubara), Green's functions, and applications.
P626 Quantum ManyBody Theory IINuclear (3 cr.) P: P625. Continued development of nonrelativistic, manybody techniques, with an emphasis on nuclear physics: realtime, finitetemperature Green's functions, pathintegral methods, Grassmann algebra, generating functionals, and relativistic manybody theory. Applications to nuclear matter and nuclei.
P627 Quantum ManyBody Theory IICondensed Matter (3 cr.) P: P625. Continued development of nonrelativistic manybody techniques with an emphasis on condensedmatter physics: properties of real metals, superconductors, superfluids, GinzburgLandau theory, critical phenomena, order parameters and broken symmetry, ordered systems, and systems with reduced dimensionality.
G630 Nuclear Astrophysics (3 cr.) P: A451A452, P453P454, or consent of instructor. R: A550, P611. Fundamental properties of nuclei and nuclear reactions, and the applications of nuclear physics to astronomy. The static and dynamic properties of nuclei; nuclear reaction rates at low and high energies. Energy generation and element synthesis in stars; the origin and evolution of the element abundances in cosmic rays.
P633P634 Theory of the Nucleus III (33 cr.) P: P512. Nuclear forces, the twonucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of betadecay, and theory of nuclear matter.
P635P636 Frontier Particle Physics III (33 cr.) This course focuses on the frontier of particle physics. Topics include StandardModel physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higherdimensional theories, supersymmetry, composite models, supergravities, string and superstring theory.
P637 Theory of Gravitation I (3 cr.) Introduction to the general theory of relativity, stressenergy tensor, parallel transport, geodesics, Einstein's equation, differential geometry, manifolds, general covariance, bending of light, perihelion advance. Modern cosmology: RobertsonWalker metric, equations of state, Friedmann equations, Hubble's law, redshift, cosmological constant, inflation, quintessence, cosmic microwave background, Big Bang nucleosynthesis, structure formation. See MATH M637.
P638 Theory of Gravitation II (3 cr.) Gravitation waves, Schwarzschild geometry and black holes, Kerr metric, ReissnerNordstrom metric, extremal black holes, Penrose diagrams, Hawking radiation, Lie derivatives, isometries and Killing vectors, variational principle and the Palatini formalism, spinors in general relativity, vierbeins, gravitation as a gauge theory, quantum gravity. See MATH M638.
P640 Subatomic Physics I (3 cr.) P: P512, C: P621. Experimental methods and theoretic description of particle and nuclear physics: applied relativistic quantum mechanics, symmetries of fundamental interactions, experimental techniques, structure of the nucleon, electromagnetic and weak interactions, elementary particles, and the Standard Model. PHYS P640 may be substituted for P633 in degree requirements.
P641 Subatomic Physics II (3 cr.) P: P640. Quarks and gluons in QCD, the parton model, strong interactions at low energies, nuclear environment and models, nuclear thermodynamics and subatomic physics in cosmology and astrophysics. PHYS P641 may be substituted for P634 in degree requirements.
P647 Mathematical Physics (3 cr.) P: P501 or P502, P521, or MATH M442. Topics vary from year to elements of quantum mechanical angular momentum theory. For students of experimental and theoretical physics. May be taught in alternate years by members of Departments of Physics or Mathematics, with corresponding shift in emphasis; see MATH M647.
P657 Statistical Physics II (3 cr.) Continuation of P556. Topics include advanced kinetic and transport theory, phase transitions, and nonequilibrium statistical mechanics.
P665 Scattering Theory (3 cr.) P: P506, P511. Theoretical tools for analysis of scattering experiments. Electromagnetic theory, classical and quantum particle dynamics.
P671 Special Topics in Accelerator Physics (3 cr.) P: P570, P521. Nonlinear dynamics: betatron phase space distortion due to the nonlinear forces. Methods of dealing with nonlinear perturbations. Multiparticle dynamics: microwave and coupled bunch instabilities. Physics of electron cooling and stochastic cooling. Advanced acceleration techniques: inverse free electron laser acceleration, wakefield and twobeam acceleration.
P672 Special Topics in Accelerator Technology and Instrumentation (3 cr.) P: consent of instructor.
P676 Selected Topics in Biophysics (3 cr.) This course presents papers on current topics in Biophysics, together with key classical papers related to those topics. Student participation in discussions is essential. Each student is expected to write two essays on two of the topics presented.
P683 Practicum in Medial Physics (3 cr.) For advanced students. This course provides practical, handson experience for students obtaining an advanced degree in medical physics. Several topics are offered each semester including but not limited to diagnostic imaging instrumentation, computational treatment planning, radiation protection, clinical radiation physics, and radiation therapy instrumentation.
P743 Topics in Mathematical Physics (3 cr.) P: consent of instructor. For advanced students. Several topics in mathematical physics studied in depth; lectures and student reports on assigned literature. Content varies from year to year. May be taught in alternate years by members of Departments of Physics or Mathematics, with corresponding shift in emphasis; see MATH M743.
P782 Topics in Experimental Physics (14 cr.)
P790 Seminar in Mathematical Physics (cr. arr.)
P800 Research (cr. arr.) Experimental and theoretical investigations of current problems; individual staff guidance. S/F grading.
P801 Readings (cr. arr.) Readings in physics literature; individual staff guidance. S/F grading.
P802 Research (cr. arr.) Experimental and theoretical investigations of current problems; individual staff guidance. Graded by letter grade.
P803 Readings (cr. arr.) Readings in physics literature; individual staff guidance. Graded by letter grade.
Astrophysics
G750 Topics in Astrophysical Sciences (13 cr.)
Graduate Courses (course numbers 500600 range)
Course  Title  Description  Offered 

P506 (4 cr.) 
Electricity and Magnetism I  Three hours of lectures and one hour of recitation. Development of Maxwell's equations. Conservation laws. Problems in electrostatics and magnetostatics. Introduction to the special functions of mathematical physics. Timedependent solutions of Maxwell's equations. Motion of particles in given electromagnetic fields. Elementary theory of radiation. Plane waves in dielectric and conducting media. Dipole and quadruple radiation from nonrelativistic systems. Useful Information: Mathematical Methods Web Page 

P507 (4 cr.) 
Electricity and Magnetism II  Three hours of lectures and one hour of recitation. Further development of radiation theory. Fourier analysis of radiation field and photons. Scattering and diffraction of electromagnetic waves. Special relativity. Covariant formulation of electromagnetic field theory. P: P506. Useful Information: Mathematical Methods Web Page 

P508 (1 cr.) 
Current Research in Physics  Presentations by faculty members designed to give incoming graduate students an overview of research opportunities in the department.  
P510 (3 cr.) 
Environmental Physics  For biological and physical science majors. Relationship of physics to current environmental problems. Energy production, comparison of sources and byproducts; nature of and possible solutions to problems of noise, particulate matter in atmosphere. Meets with P310. 

P511 (4 cr.) 
Quantum Mechanics I  Three hours of lectures and one hour of recitation. Basic principles, the Schrödinger equation, wave functions, and physical interpretation. Bound and continuum states in onedimensional systems. Bound states in central potential; hydrogen atom. Variational method. Timeindependent perturbation theory. Useful Information: Mathematical Methods Web Page 

P512 (4 cr.) 
Quantum Mechanics II  Three hours of lectures and one hour of recitation. Timedependent perturbation theory. Schrödinger, Heisenberg and interaction pictures. Elementary theory of scattering. Rotations and angular momentum. Other symmetries. Nonrelativistic, manyparticle quantum mechanics, symmetry and antisymmetry of wave functions, and HartreeFock theory of atoms and nuclei. P: P511. Useful Information: Mathematical Methods Web Page 

P521 (3 cr.) 
Classical Mechanics  Vector and tensor analysis. Lagrangian and Hamiltonian dynamics. Conservation laws and variational principles. Twobody motion, manyparticle systems, and rigidbody motion. Canonical transformations and HamiltonJacobi theory. Continuum mechanics with introduction to complex variables. Useful Information: Mathematical Methods Web Page 

P522 (3 cr.) 
Advanced Classical Mechanics  Mathematical methods of classical mechanics; exterior differential forms, with applications to Hamiltonian dynamics. Dynamical systems and nonlinear phenomena; chaotic motion, period doubling, and approach to chaos.  
P526 (3 cr.) 
Principles of Health Physics and Dosimetry  This course provides theoretical and practical aspects of radiation protection, including interaction of radiation with matter; radiation protection standards; radiation puantities and units; risk evaluation and dose limits; internal dose calculations; external dosimetry and personnel monitoring; and health physics.  
P535 (3 cr.) 
Introduction to Nuclear and Particle Physics  Survey of the properties and interactions of nuclei and elementary particles. Experimental probes of subatomic structure. Basic features and symmetries of electromagnetic, strong and weak forces. Models of hadron and nuclear structure. The role of nuclear and particle interactions in stars and the evolution of the universe. P: P453 or equivalent. 

P537 (3 cr.) 
Neutron Physics and Scattering  A broad, interdisciplinary survey of the physics of neutrons and the ideas and techniques of neutron scattering in biology, chemistry, geology, materials science, and physics. Topics include: (0) Overview of scientific questions addressed with neutrons (1) Properties of the neutron, (2) Strong, weak, electromagnetic, and gravitational interactions of the neutron, (3) Neutron sources and moderators, ultracold neutrons (4) Theory of neutron scattering and neutron optics (5) Elastic scattering: diffraction, small angle scattering and reflectometry, (6) Inelastic scattering, (7) Polarized neutrons and magnetic scattering, (8) neutron spin echo spectroscopy, (9) neutron instrumentation.  
P540 (3 cr.) 
Digital Electronics  Digital logic, storage elements, timing elements, arithmetic devices, digitaltoanalog and analogtodigital conversion. Course has lectures and labs emphasizing design, construction, and analysis of circuits using discrete gates and programmable devices.  
P541 (3 cr.) 
Analog Electronics  Amplifier and oscillator characteristics feedback systems, bipolar transistors, fieldeffect transistors, optoelectronic devices, amplifier design, power supplies, and the analysis of circuits using computeraided techniques.  
P548 (3 cr.) 
Mathematical Methods for Biology  Physical principles applied to modeling biological systems to obtain analytical models which can be studied mathematically and tested experimentally. Meets with Math M548.  
P551 (3 cr.) 
Modern Physics Laboratory 1  Graduatelevel laboratory; experiments on selected aspects of atomic, condensedmatter, and nuclear physics. Meets with P451 

P555 
Quantum Computation and Information  The course covers basic concepts in quantum computation and information including: standard qubit model of computation, quantum algorithms such as Shor's factoring and Grover's search algorithms, physics of information processing, quantum error correction, and physical implementations of quantum computers.  
P556 (3 cr.) 
Statistical Physics  The laws of thermodynamics; thermal equilibrium, entropy, and thermodynamic potentials. Principles of classical and quantum statistical mechanics. Partition functions and statistical ensembles. Statistical basis of the laws of thermodynamics. Elementary kinetic theory. Useful Information: Mathematical Methods Web Page 

P557 (3 cr.) 
Solid State Physics  Atomic theory of solids. Crystal and band theory. Thermal and electromagnetic properties of periodic structures. P: P453 or equivalent. 

P570 (3 cr.) 
Introduction to Accelerator Physics  Overview of accelerator development and accelerator technologies. Transverse phase space motion and longitudinal synchrotron motion of a particle in an accelerator. Practical accelerator lattice design. Design issues relevant to synchrotron light sources. Basics of free electron lasers. Spin dynamics in cyclic accelerators and storage rings. P: approval of instructor. 

P572 (3 cr.) 
Radiation Oncology Physics  This is an introductory course to the physical principles, equipment, processes, imaging guidance and clinical techniques involved in the treatment of cancer patients with external radiation beams and radioactive sources. Various external radiation beam types and their energy deposition characteristics are described. Treatment planning dose calculation algorithms and point dose calculations are discussed. The use of international dosimetry protocols for radiation beam calibrations are covered in detail.  
P575 (3 cr.) 
Introduction to Biophysics  Physics P575 presents an introduction to Biophysics. Topics include: Properties of biomolecules and biomolecular complexes. Biological membranes, channels, neurons. Diffusion, Brownian motion. Reactiondiffusion processes, pattern formation. Sensory and motor systems. Psychophysics and animal behavior, statistical interference.  
P576 (3 cr.) 
Introduction to Medical Diagnostic Imaging  This course teaches the fundamentals of medical imaging, including the basic physics and engineering associated with each imaging modality (CT, MRI, PET, and Ultrasound) as well as mathematics and comutational tools associated with image reconstruction and image processing. The course is intended for students in biomedical engineering, physics, and medical sciences.  
P578 (3 cr.) 
Radiation Biophysics  This course emphasizes the effects of ionizing radiation at the cellular/molecular, tissue, and organismal level. The course is especially relevant for students training in cancer biology, radiation oncology, radiology, radiation protection, public health, and medical physics. Topics include radiationinduced acute and late effects in normal tissue and tumors, DNA repair, chemical modifiers of radioresponse, the radiobiological basis of radiotherapy, radioheritable effects, consequences of wholebody irradiation, and carcinogenesis.  
P582 (3 cr.) 
Biological and Artificial Neural Networks  Biological details of neurons relevant to computation. Artificial neural network theories and models, and relation to statistical physics. Living neural networks and critical evaluation of neural network theories. Students' final projects will consist of programming networks and applying them to current research topics.  
P583 (3 cr.) 
Signal Processing & Information Theory in Biology  Probability and statistics. Filtering.Correlation functions and power spectra. Time invariant and timevarying systems. Shannon Information.Coding and decoding. Processing of sensory signals and other applications to Neurobiology and Psychophysics.  
P607 (3 cr.) 
Group Representations  Elements of group theory. Representation theory of finite and infinite compact groups. Study of the point crystal, symmetric, rotation, Lorentz, and other classical groups as time permits. P: consent of instructor. Generally offered in alternate years; see also MATH M607M608. 

P609 (3 cr.) 
Computational Physics  Designed to introduce students (1) to numerical methods for quadrature, solution of integral and differential equations, and linear algebra; and (2) to the use of computation and computer graphics to simulate the behavior of complex physical systems. The precise choice of topics will vary.  
P610 (3 cr.) 
Computational Physics II  Second semester of computational physics focusing on more advanced topics, e.g., fractals, kinetic growth models, models in statistical mechanics, quantum systems and fast fourier transforms, parallel computing  
P615 (3 cr.) 
Physics of the Solid State I  Mechanical, thermal, electric, and magnetic properties of solids; crystal structure; band theory; semiconductors; phonons; transport phenomena; superconductivity; superfluidity; and imperfections. P: P512. Usually given in alternate years. 

P616 (3 cr.) 
Physics of the Solid State II  Mechanical, thermal, electric, and magnetic properties of solids; crystal structure; band theory; semiconductors; phonons; transport phenomena; superconductivity; superfluidity; and imperfections. P: 615. Usually given in alternate years. 

P621 (4 cr.) 
Relativistic Quantum Field Theory I  Introduction to quantum field theory, symmetries, Feynman diagrams, quantum electrodynamics, and renormalization. P: P512. 

P622 (4 cr.) 
Relativistic Quantum Field Theory II  NonAbelian gauge field theory, classical properties, quantization and renormalization, symmetries and their roles, and nonperturbative methods. P: P621. 

P625 (3 cr.) 
Quantum ManyBody Theory I  Elements of nonrelativistic quantum field theory: second quantization, fields, Green's functions, the linkedcluster expansion, and Dyson's equations. Development of diagrammatic techniques and application to the degenerate electron gas and imperfect Fermi gas. Canonical transformations and BCS theory. Finitetemperature (Matsubara), Green's functions, and applications. P: P512. 

P626 (3 cr.) 
Quantum ManyBody Theory II  Nuclear  Continued development of nonrelativistic, manybody techniques, with an emphasis on nuclear physics: realtime, finitetemperature Green's functions, pathintegral methods, Grassmann algebra, generating functionals, and relativistic manybody theory. Applications to nuclear matter and nuclei. P: P625. 

P627 (3 cr.) 
Quantum ManyBody Theory II  Condensed Matter  Continued development of nonrelativistic manybody techniques with an emphasis on condensedmatter physics: properties of real metals, superconductors, superfluids, GinzburgLandau theory, critical phenomena, order parameters and broken symmetry, ordered systems, and systems with reduced dimensionality. P: P625. 

G630 (3 cr.) 
Nuclear Astrophysics  Fundamental properties of nuclei and nuclear reactions and the applications of nuclear physics to astronomy. The static and dynamic properties of nuclei; nuclear reaction rates at low and high energies. Energy generation and element synthesis in stars; the origin and evolution of the element abundancies in cosmic rays. P: A451A452, P453P454, or consent of instructor. R: A550, P611. 

P633 (3 cr.) 
Theory of the Nucleus I  Nuclear forces, the twonucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of betadecay, and theory of nuclear matter. P: P512. 

P634 (3 cr.) 
Theory of the Nucleus II  Nuclear forces, the twonucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of betadecay, and theory of nuclear matter. P: P633. 

P635  Frontier Particle Physics I  This course focuses on the frontier of particle physics. Topics include StandardModel physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higherdimensional theories, supersymmetry, composite models, supergravities, string and superstring theory.  
P636  Frontier Particle Physics II  This course focuses on the frontier of particle physics. Topics include StandardModel physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higherdimensional theories, supersymmetry, composite models, supergravities, string and superstring theory.  
P637 (3 cr.) 
Theory of Gravitation I  Introduction to the general theory of relativity, stressenergy tensor, parallel transport, geodesics, Einstein's equation, differential geometry, manifolds, general covariance, bending of light, perihelion advance. Modern cosmology: RobertsonWalker metric, equations of state, Griedmann equations, Hubble's law, redshift, cosmological constant, inflation, quintessence, cosmic microwave background. Big Bang nucleosynthesis, structure formation. P: consent of instructor. See MATH M637. 

P638 (3 cr.) 
Theory of Gravitation II  Gravitation waves, Schwarzschild geometry and black holes, metric, ReissnerNordstrom metric, extremal black holes, Penrose diagrams, Hawkins radiation, Lie derivative isometries and Killing vectors, variational principle and the Palatini formalism, spinors in general relativity, vierbeins, gravitation as a gauge theory, quantum gravity. P: consent of instructor. See MATH M638. 

P640 (3 cr.) 
Subatomic Physics I  Experimental methods and theoretic description of particle and nuclear physics: applied relativistic quantum mechanics, symmetries of fundamental interactions, experimental techniques, structure of the nucleon, electromagnetic and weak interactions, elementary particles and the Standard Model. P: P512. C: P621 

P641 (3 cr.) 
Subatomic Physics II  Quarks and gluons in QCD, the parton model, strong interactions at low energies, nuclear environment and models, nuclear thermodynamics and subatomic physics in cosmology and astrophysics. P: P640. 

P647 (3 cr.) 
Mathematical Physics  Topics vary from year to year. Integral equations, including Green's function techniques, linear vector spaces, and elements of quantum mechanical angular momentum theory. For students of experimental and theoretical physics. P: P501 or P502, P521, or MATH M442. May be taught in alternate years by members of Departments of Physics or Mathematics, with corresponding shift in emphasis; see Mathematics M647. 

P657 (3 cr.) 
Statistical Physics II  Topics include advanced kinetic and transport theory, phase transitions, and nonequilibrium statistical mechanics. Continuation of P556. 

P665 (3 cr.) 
Scattering Theory  Theoretical tools for analysis of scattering experiments. Electromagnetic theory, classical and quantum particle dynamics. P: P506, P511. 
Graduate Reseach & Seminars (course numbers 500800 range)
Course  Title  Description  Offered 

P500 (1 cr.) 
Physics Colloquium  Reports on current literature. Graduate students and staff participate. 

P504 (1 cr.) 
Practicum in Physics Laboratory Instruction  Practical aspects of teaching physics labs. Meets the week before classes and one hour per week during the semester to discuss goals, effective teaching techniques, grading standards, AIstudent relations, and administrative procedures as applied to P201. Students enrolling in this course teach a section of P201 laboratory.  
P571 (3 cr.) 
Special Topics in Physics of Beams  P: approval of instructor.  
P671 (3 cr.) 
Special Topics in Accelerator Physics  Nonlinear dynamics: betatron phase space distortion due to the nonlinear forces. Methods of dealing with nonlinear perturbations. Multiparticle dynamics: microwave and coupled bunch instabilities. Physics of electron cooling and stochastic cooling. Advanced acceleration techniques: inverse free electron laser acceleration, wakefield and twobeam acceleration. P: P570, P521. 

P672 (3 cr.) 
Special Topics in Accelerator Technology and Instrumentation  P: approval of instructor.  
P676 (3 cr.) 
Special Topics in Biophysics  This course presents papers on current topics in Biophysics, together with key classical papers related to those topics. Student participation in discussions is essential. Each student is expected to write two essays on two of the topics presented.  
P683 (1.5 cr.) 
Practicum in Medical Physics  For advanced students. This course provides practical, handson experience for students obtaining an advanced degree in medical physics. Several topics are offered each semester including but not limited to diagnostic imaging instrumentation, computational treatment planning, radiation protection, clinical radiation physics, and radiation therapy instrumentation.  
P700 (cr. arr.) 
Topics in Theoretical Physics  Various topics offered each semester.  
P702 (cr. arr.) 
Seminar in Nuclear Spectroscopy  
P703 (cr. arr.) 
Seminar in Theoretical Physics  
P704 (cr. arr.) 
Seminar in Nuclear Reactions 


P705 (cr. arr.) 
Seminar in HighEnergy Physics and Elementary Particles 


P706 (cr. arr.) 
Seminar in Solid State Physics 


P707 (cr. arr.) 
Topics in Quantum Field Theory and Elementary Particle Theory  
P708 (3 cr.) 
Topics in Quantum Field Theory and Elementary Particle Theory  
P743 (3 cr.) 
Topics in Mathematical Physics  For advanced students. Several topics in mathematical physics studied in depth; lectures and student reports on assigned literature. Content varies from year to year. P: consent of instructor. May be taught in alternate years by members of Departments of Physics or Mathematics, with corresponding shift in emphasis; see MATH M743. 

P782 (14 cr.) 
Topics in Experimental Physics  
P790 (cr. arr.) 
Seminar in Mathematical Physics  
P800 (cr. arr.; S/F grading)* 
Research  Experimental and theoretical investigations of current problems; individual staff guidance.  All semesters 
P801 (cr. arr.; S/F grading)* 
Readings  Readings in physics literature; individual staff guidance.  All semesters 
P802 (cr. arr.) 
Research  Experimental and theoretical investigations of current problems; individual staff guidance. Graded by letter grade.  All semesters 
P803 (cr. arr.) 
Readings  Readings in physics literature; individual staff guidance. Graded by letter grade.  All semesters 