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Indiana University Bloomington

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, AI-student 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. Time-dependent 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 one-dimensional systems. Bound states in central potential; hydrogen atom. Variational method. Time-independent perturbation theory.

P512 Quantum Mechanics II (4 cr.) P: P511. Three hours of lectures and one hour of recitation. Time-dependent perturbation theory. Schrödinger, Heisenberg and interaction pictures. Elementary theory of scattering. Rotations and angular momentum. Other symmetries. Nonrelativistic, many-particle quantum mechanics, symmetry and antisymmetry of wave functions, and Hartree-Fock theory of atoms and nuclei.

P521 Classical Mechanics (3 cr.) Vector and tensor analysis. Lagrangian and Hamiltonian dynamics. Conservation laws and variational principles. Two-body motion, many-particle systems, and rigid-body motion. Canonical transformations and Hamilton-Jacobi 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, digital-to-analog and analog-to-digital 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, field-effect transistors, optoelectronic devices, amplifier design, power supplies, and the analysis of circuits using computer-aided 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.) Graduate-level laboratory; experiments on selected aspects of atomic, condensed-matter, and nuclear physics.

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; reaction-diffusion 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 radiation-induced acute and late effects in normal tissue and tumors, DNA repair, chemical modifiers of radioresponse, the radiobiological basis of radiotherapy, radioheritable effects, consequences of whole-body 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 time-varying 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 M607-M608.

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.

P615-P616 Physics of the Solid State I-II (3-3 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. Non-Abelian gauge field theory, classical properties, quantization and renormalization, symmetries and their roles, and nonperturbative methods.

P625 Quantum Many-Body Theory I (3 cr.) P: P512. Elements of nonrelativistic quantum field theory: second quantization, fields, Green's functions, the linked-cluster 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. Finite-temperature (Matsubara), Green's functions, and applications.

P626 Quantum Many-Body Theory II-Nuclear (3 cr.) P: P625. Continued development of nonrelativistic, many-body techniques, with an emphasis on nuclear physics: real-time, finite-temperature Green's functions, path-integral methods, Grassmann algebra, generating functionals, and relativistic many-body theory. Applications to nuclear matter and nuclei.

P627 Quantum Many-Body Theory II-Condensed Matter (3 cr.) P: P625. Continued development of nonrelativistic many-body techniques with an emphasis on condensed-matter physics: properties of real metals, superconductors, superfluids, Ginzburg-Landau theory, critical phenomena, order parameters and broken symmetry, ordered systems, and systems with reduced dimensionality.

G630 Nuclear Astrophysics (3 cr.) P: A451-A452, P453-P454, 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.

P633-P634 Theory of the Nucleus I-II (3-3 cr.) P: P512. Nuclear forces, the two-nucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of beta-decay, and theory of nuclear matter.

P635-P636 Frontier Particle Physics I-II (3-3 cr.) This course focuses on the frontier of particle physics. Topics include Standard-Model physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higher-dimensional theories, supersymmetry, composite models, supergravities, string and superstring theory.

P637 Theory of Gravitation I (3 cr.) Introduction to the general theory of relativity, stress-energy tensor, parallel transport, geodesics, Einstein's equation, differential geometry, manifolds, general covariance, bending of light, perihelion advance. Modern cosmology: Robertson-Walker 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, Reissner-Nordstrom 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 two-beam 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 (1.5 cr.) For advanced students. This course provides practical, hands-on 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 (1-4 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 (1-3 cr.)

Graduate Courses (course numbers 500-600 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. Time-dependent 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 one-dimensional systems. Bound states in central potential; hydrogen atom. Variational method. Time-independent perturbation theory.

Useful Information: Mathematical Methods Web Page
 
P512
(4 cr.)
Quantum Mechanics II Three hours of lectures and one hour of recitation. Time-dependent perturbation theory. Schrödinger, Heisenberg and interaction pictures. Elementary theory of scattering. Rotations and angular momentum. Other symmetries. Nonrelativistic, many-particle quantum mechanics, symmetry and antisymmetry of wave functions, and Hartree-Fock 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. Two-body motion, many-particle systems, and rigid-body motion. Canonical transformations and Hamilton-Jacobi 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, digital-to-analog and analog-to-digital 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, field-effect transistors, optoelectronic devices, amplifier design, power supplies, and the analysis of circuits using computer-aided 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 Graduate-level laboratory; experiments on selected aspects of atomic, condensed-matter, and nuclear physics. Meets with P451

 

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. Reaction-diffusion 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 radiation-induced acute and late effects in normal tissue and tumors, DNA repair, chemical modifiers of radioresponse, the radiobiological basis of radiotherapy, radioheritable effects, consequences of whole-body 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 time-varying 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 M607-M608.
 
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 Non-Abelian gauge field theory, classical properties, quantization and renormalization, symmetries and their roles, and nonperturbative methods.

P: P621.
 
P625
(3 cr.)
Quantum Many-Body Theory I Elements of nonrelativistic quantum field theory: second quantization, fields, Green's functions, the linked-cluster 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. Finite-temperature (Matsubara), Green's functions, and applications.

P: P512.
 
P626
(3 cr.)
Quantum Many-Body Theory II -- Nuclear Continued development of nonrelativistic, many-body techniques, with an emphasis on nuclear physics: real-time, finite-temperature Green's functions, path-integral methods, Grassmann algebra, generating functionals, and relativistic many-body theory. Applications to nuclear matter and nuclei.

P: P625.
 
P627
(3 cr.)
Quantum Many-Body Theory II -- Condensed Matter Continued development of nonrelativistic many-body techniques with an emphasis on condensed-matter physics: properties of real metals, superconductors, superfluids, Ginzburg-Landau 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: A451-A452, P453-P454, or consent of instructor. R: A550, P611.
 
P633
(3 cr.)
Theory of the Nucleus I Nuclear forces, the two-nucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of beta-decay, and theory of nuclear matter.

P: P512.
 
P634
(3 cr.)
Theory of the Nucleus II Nuclear forces, the two-nucleon problem, systematics and electromagnetic properties of nuclei, nuclear models, nuclear scattering and reactions, theory of beta-decay, and theory of nuclear matter.

P: P633.
 
P635 Frontier Particle Physics I This course focuses on the frontier of particle physics. Topics include Standard-Model physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higher-dimensional 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 Standard-Model physics, neutrino masses, tests of fundamental symmetries, anomalies, grand unified theories, higher-dimensional theories, supersymmetry, composite models, supergravities, string and superstring theory.  
P637
(3 cr.)
Theory of Gravitation I Introduction to the general theory of relativity, stress-energy tensor, parallel transport, geodesics, Einstein's equation, differential geometry, manifolds, general covariance, bending of light, perihelion advance. Modern cosmology: Robertson-Walker 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, Reissner-Nordstrom 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 non-equilibrium 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 500-800 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, AI-student 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. Multi-particle dynamics: microwave and coupled bunch instabilities. Physics of electron cooling and stochastic cooling. Advanced acceleration techniques: inverse free electron laser acceleration, wakefield and two-beam 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, hands-on 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 High-Energy 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
(1-4 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