May 18, 2024  
2018-2019 Graduate Catalog 
    
2018-2019 Graduate Catalog [ARCHIVED CATALOG]

Physics


116 Cardwell Hall
785-532-6786
Fax: 785-532-6806
graduate@phys.ksu.edu
http://www.phys.ksu.edu/
 

Interim Department Head:

Brett DePaola

Directors of Graduate Studies:

Michael J. O’Shea

Graduate Faculty:

*Itzik Ben-Itzhak, Ph.D., Technion, Israel
*Matthew Berg, Ph.D., Kansas State University
*Cosmin I Blaga, Stony
*Timothy A. Bolton, Ph.D., Massachusetts Institute of Technology
*Kevin Carnes, Ph.D., Purdue University
*Amitabha Chakrabarti, Ph.D., University of Minnesota
*Kristan L. Corwin, Ph.D., University of Colorado-Boulder
*Brett DePaola, Ph.D., Texas-Dallas
*Brett D. Esry, Ph.D., University of Colorado-Boulder
*Charles C. Fehrenbach, Ph.D., University of Michigan
*Bret N. Flanders, Ph.D., University of Chicago
*Loren Greenman, Ph.D., University of Chicago
*Glenn Horton-Smith, Ph.D., Stanford University
*Andrew G. Ivanov, Ph.D., University of Rochester
*Ketino Kaadze, Ph.D., Kansas State University
*Vinod Kumarappan, Ph.D., Tata Institute of Fundamental Research, India
*James Laverty, Ph.D., Michigan State University
*Bruce Law, Ph.D., Victoria University, New Zealand
Anh-Thu Le, Ph.D., Belarusian State University, Belarus
*Chii-Dong Lin, Ph.D., University of Chicago
*Yurii Maravin, Ph.D., Southern Methodist University
*Michael J. O’Shea, Ph.D., University of Sussex, England
*Bharat Ratra, Ph.D., Stanford University
*Daniel Rolles, Ph.D., Technical University Berlin, Germany
*Artem Rudenko, Ph.D., Moscow Institute of Physics and Technology, Russia
*Lado Samushia, Ph.D., Kansas State University
*Eleanor Sayre, Ph.D., University of Maine
*Jeremy Schmit, Ph.D., University of California-Santa Barbara
*Christopher M. Sorensen, Ph.D., University of Colorado-Boulder
*Uwe Thumm, Ph.D., University of Freiburg, Germany
*Brian Washburn, Ph.D., Georgia Institute of Technology
*O. Laurence Weaver, Ph.D., Duke University
*Gary M. Wysin, Ph.D., Cornell University

Emeritus Faculty:

*C. Lewis Cocke, (Emeritus) Ph.D., California Institute of Technology
*Nathan Folland, (Emeritus) Ph.D., Iowa State University
*Thomas J. Gray, (Emeritus) Ph.D., Florida State University
*Siegbert J. Hagmann, (Emeritus) Ph.D., University of Cologne, Germany
*Talat S. Rahman, (Emeritus) Ph.D., University of Rochester
*Neville W. Reay, (Emeritus) Ph.D., University of Minnesota
*Patrick Richard, (Emeritus) Ph.D., Florida State University
*Noel R. Stanton, (Emeritus) Ph.D., Cornell University
*Dean A. Zollman, (Emeritus) Ph.D., University of Maryland

Adjunct and Ancillary Faculty:

*Hongxing Jiang, Adjunct, Ph.D., Syracuse University
*Ronald Lee, Adjunct, Ph.D., Iowa State University
*Jingyu Lin, Adjunct, Ph.D., Syracuse University
*Stephen Lundeen, Ph.D., Harvard University
*John D. Spangler, Adjunct, Ph.D., Duke University
*Theodore J. M. Zouros, Adjunct, Ph.D., Yale University


*Denotes graduate faculty that are certified to serve as the major professor for doctoral students.

Program description

The research programs of the Department of Physics are focused in the areas of atomic, molecular and optical physics, condensed and soft matter physics, physics education, cosmology, and high energy physics. We have concentrated our major research commitments in these areas to maintain strength and balance. The Department of Physics offers graduate programs leading to the Ph.D. degree. These are described here with the research interests of the faculty. Our graduate core curriculum is an excellent foundation for work in a large variety of specialties.

Careers

Graduate study in physics provides training for many varied academic and technological careers. Graduates in physics at all levels have found attractive careers in industrial and governmental laboratories and in academic departments. Graduates from K-State are presently engaged in communications research, x-ray laser development, genetic research, university teaching and research in various areas of physics, petroleum research, industrial electronics, and many other fields. M.S. graduates generally occupy skilled technical positions and Ph.D. graduates generally occupy positions requiring independent work in a wide range of areas.

Research and facilities

Atomic, molecular and optical physics

The experimental atomic, molecular and optical physics group is involved in a diverse program that investigates the interactions of atoms, molecules and light using intense ultrashort laser pulses. High harmonic generation, ionization, electron re-scattering and molecular breakup are a few of the problems being investigated using the state-of-the art lasers housed in the James R. Macdonald Ultrafast Laser Laboratory (JRML), which can produce pulses from the infrared to X-ray regimes. The Laboratory also houses research using ultrafast fiber lasers to investigate frequency combs, with a goal of developing applications useful in the telecommunications industry, and research into the coherent control of cold photo-association collisions.

The results of the experiments carried out in the lab are compared to the theoretical predictions made by the Kansas-State theory group as well as by theorists elsewhere. The close interplay between theorists and experimentalists often leads to a better understanding of the physics and in some cases suggests new phenomena, experimental methods, or improved calculation methods. The combination of strong groups in both theory and experiment within the same department makes Kansas State one of the leading atomic, molecular and optical physics groups in the world. Because of this, we have attracted researchers from around the world to come to Kansas State to carry out their experiments.

Soft and condensed matter physics

Our condensed matter physics group performs research in a multitude of areas, including controlled assembly of nanoparticles into 2-D and 3-D solids, the stretching of proteins, and growth of nanowires and their application to living cells. Our soft matter group works at the interface of physics, chemistry and biology.

Cosmology and particle astrophysics

The K-State cosmology group studies the physical properties and evolution of the Universe. Questions we are trying to address include: Why is the Universe’s expansion accelerating? What is Dark Energy and Dark Matter? We develop theoretical models and look into cosmological data to provide answers to these fundamental questions.”

High energy physics

This group studies physics at the smallest known scales of the universe; the indivisible particles that make up atoms and matter. The group seeks to provide answers to many fundamental questions of physics such as the existence of extra dimensions of space, dark energy and the nature of the dark matter of the universe, and the origin of mass. The group members collaborate with many groups throughout the world, including the Fermilab near Chicago, and with CERN in Switzerland, where recently they were involved in discovering the Higgs boson.

Physics education research

The physics education group conducts research related to the teaching and learning of physics, and develops learning materials based on that research and the research of others. The group continues to develop cutting-edge teaching technology, as well as improve both in-service and pre-service teacher education.

Financial support

The department is continually awarded outside support for research and teaching. The extramural research support for the department has averaged over $6.5 million during each of the last four years. This support is important for the graduate student because it is an indication that the research conducted by the department is regarded highly by the research peers who review the department’s proposals. It also indicates that a large number of graduate research assistantships are available in the department. Exceptional students can compete for university graduate fellowships and graduate fellowships offered by the Graduate School. Applications must be completed by January 8 to be considered for a fellowship. The schedule for teaching assistants is about 8 to 10 hours per week in laboratory sections in the introductory physics courses. Summer appointments as research assistants are generally available. The stipend is sufficient for a comfortable life in Manhattan.

Programs

Doctor of Philosophy

Master of Science

Courses

Physics

  • PHYS 506 - Advanced Laboratory

    Credits: 4

    The completion of experiments of current and/or historical interest in contemporary physics.  Students develop skills in and knowledge of measurement techniques using digital and analog instruments.  Various data analysis techniques are used. 

    Note:
    Four class hours per week.

    Requisites:
    Prerequisite: PHYS 325.

    Typically Offered
    Spring


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  • PHYS 515 - Physics for Science Teachers

    Credits: 1-4

    Study of current topics in physics, with laboratory experience and demonstration of the processes or phenomena under consideration. Topics and activities will be directed toward providing teachers with material for demonstrations and student experiments or projects. Examples of topics are: solar power, laser applications, holography, and subnuclear particles, relativity, or the historical development of some physical concept.

    Note:
    May be repeated for a maximum of 6 hours credit.

    Requisites:
    Prerequisite: One year of college physics.


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  • PHYS 522 - Mechanics

    Credits: 4

    Principles of statistics and dynamics of systems of particles and rigid bodies. Topics include Newton’s laws for one particle, non-inertial reference frames, central forces, system of particles, rigid body statics and motion in a plane and in three dimensions, Lagrangian mechanics and Hamilton’s equations, oscillating systems and normal coordinates.

    Note:
    Three hours of lecture and one hour recitation per week. The recitation will focus on mathematical methods and techniques applied to problem solving.

    Requisites:
    Prerequisite: PHYS 224.

    Typically Offered
    Spring


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  • PHYS 532 - Electromagnetic Fields I

    Credits: 4

    An introduction to electricity and magnetism. The first of a two semester study of Maxwell’s equations in both integral and differential forms. Topics include electrostatics with vector calculus; electrostatic potential solutions in rectangular, cylindrical, and spherical coordinates; dielectrics; electrostatic energy and capacitance; magnetostatics with vector calculus; Biot-Savart law; vector and scalar potentials for magnetisml magnetic permeability; Faraday’s law in integral and differential form; magnetic energy and inductance; displacement current; lumped oscillations and LCR systems; impedance.

    Note:
    Three hours of lecture and one hour recitation per week. The recitation will focus on mathematical methods and techniques applied to problem solving.

    Requisites:
    Prerequisite: PHYS 224 and MATH 240.

    Typically Offered
    Fall


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  • PHYS 620 - Teaching University Physics

    Credits: 3

    A discussion of techniques which will aid in the development of understanding the concepts in physics. Emphasis is placed on models of learning and teaching techniques which can be applied to the teaching of contemporary physics to university students. These models and techniques are used to analyze a teaching approach of topics, such as quantum mechanics, which is important to today’s physicist.

    Note:
    Three class hours per week.

    Requisites:
    Prerequisite: PHYS 325.

    Typically Offered
    Alternate years


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  • PHYS 633 - Electromagnetic Fields II

    Credits: 3

    Second of a two semester study of Maxwell’s equations in both integral and differential forms. Special relativity; Lorentz transformations; relativistic invariants; transformation properties of electric and magnetic fields and potentials; Lorentz force and electrodynamics; electromagnetic fields of a point charge; electromagnetic waves; solutions to the wave equation in rectangular, cylindrical, and spherical geometries; wave propagation in matter; reflection, refraction, and transmission; wave guides and fiber optics; Fresnel equations; polarization; dipole radiation.

    Note:
    Three lectures per week.

    Requisites:
    Prerequisite: PHYS 532.

    Typically Offered
    Spring


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  • PHYS 636 - Physical Measurements and Instrumentation

    Credits: 4

    A laboratory-oriented course to acquaint students with electrical circuits, their interfacing with measuring instruments, and their use in making physical measurements.

    Note:
    Four class hours per week.

    Requisites:
    Prerequisite: PHYS 214 or PHYS 224.

    Typically Offered
    Spring


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  • PHYS 639 - Computations in Physics

    Credits: 3

    An introduction to applying computational and numerical techniques to solve problems of interest to physicists. Topics include the application of computational analysis and solution to physical problems in both classical, and quantum physics including particle structure and motion, interaction of particles with fields, and model building for simulation of physical phenomena. A practicum is an integral part of the course. Students will use both personal computers and advanced workstations.

    Note:
    One hour lecture, two hours of computer lab per week.

    Requisites:
    Prerequisite: PHYS 532.

    Typically Offered
    Spring, in alternate years


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  • PHYS 642 - Nuclear Physics

    Credits: 3

    An introduction to the structure of the nucleus, radioactivity, and nuclear energy; the application of quantum mechanics to describe nuclear physics.

    Requisites:
    Prerequisite: PHYS 562.

    Typically Offered
    On sufficient demand


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  • PHYS 651 - Introduction to Optics

    Credits: 4

    Introduction to modern concepts in optics: electromagnetic waves, propagation of light through media, geometrical optics of lenses, mirrors and simple optical instruments, polarization, interference, coherence, and diffractions.

    Note:
    Taught in a studio format; three hours of lecture and two hours of laboratory per week.

    Requisites:
    Prerequisite: PHYS 214.

    Typically Offered
    Fall, in alternate years


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  • PHYS 652 - Applied Optics and Optical Measurement

    Credits: 3

    Topical approach oriented toward measurements including coherence, Fourier Optics, holography, light scattering, interferometry, laser technology.

    Note:
    Three hours of lecture per week.

    Requisites:
    Prerequisite: PHYS 651.

    Typically Offered
    Spring, in alternate years


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  • PHYS 655 - Physics of Solids

    Credits: 3

    An introduction to the physics of solids with an emphasis on energy band structures, electrical and optical properties of solids and solid state devices.

    Note:
    Three hours of lecture per week.

    Requisites:
    Prerequisite: PHYS 662.

    Typically Offered
    Fall, in alternate years


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  • PHYS 662 - Introduction to Quantum Mechanics

    Credits: 4

    Concepts and mathematical models of quantum physics. Solutions to the time independent Schrödinger equation, descriptions of one-electron and multi-electron atoms, electron spin and magnetic moments.

    Note:
    Three hours lecture and one hour reciation per week. The recitation will focus on mathematical methods and techniques applied to problem solving.

    Requisites:
    Prerequisite: PHYS 325, PHYS 522.

    Typically Offered
    Spring


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  • PHYS 664 - Thermodynamics and Statistical Physics

    Credits: 3

    An introduction to thermodynamics developed from the concepts of statistical physics. Applications include the gas laws, concepts of heat and work, phase transitions, and kinetic theory with applications to statistical physics.

    Requisites:
    Prerequisite: PHYS 522; MATH 240.

    Typically Offered
    Fall


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  • PHYS 691 - Introduction to Astrophysics

    Credits: 3

    An introduction to the application of physical principles to understanding astronomical objects. Topics include properties of stars, stellar evolution, galaxies, and cosmology.

    Note:
    Three hours of lecture per week.

    Requisites:
    Prerequisite: PHYS 325, PHYS 522, PHYS 532.

    Typically Offered
    Spring, in alternate years


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  • PHYS 692 - Introduction to Cosmology

    Credits: 3

    An introduction to the physics and astrophysics of the hot big bang model to the Universe.

    Note:
    Three hours lecture a week.

    Requisites:
    Prerequisite: PHYS 522.

    Typically Offered
    Spring, even years


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  • PHYS 694 - Particle Physics

    Credits: 3

    An experimental and phenomenological introduction to high energy physics. The course will emphasize understanding the experimental basis of what is known about the subnuclear domain. Students will be asked to design simple conceptual experiments in addition to solving problems.

    Note:
    Three hours of lecture per week.

    Requisites:
    Prerequisite: PHYS 325.

    Typically Offered
    Spring, in alternate years


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  • PHYS 701 - Cosmology

    Credits: 3

    A general-relativity-based discussion of the physics of the hot big bang model of the Universe.

    Requisites:
    Prerequisite: PHYS 692.

    Typically Offered
    Fall, even years


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  • PHYS 707 - Topics in Physics

    Credits: 1-18

    Special topics courses. Topics and credits announced for the semester in which offered. May be given in conjunction with lecture series by visiting scientists.

    Requisites:
    Prerequisite: Graduate standing or senior standing and consent of instructor.

    Typically Offered
    Fall, Spring, Summer


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  • PHYS 709 - Applied Quantum Mechanics

    Credits: 3

    A study of Schrödinger’s theory of quantum mechanics and its application to one electron atoms, multielectron atoms, quantum statistics, spectra of molecules and selected topics in quantum excitations of solids, nuclear physics, and elementary particles.

    Note:
    Three hours of lecture per week.

    Requisites:
    Prerequisite: PHYS 662.

    Typically Offered
    Fall


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  • PHYS 741 - The Physics of Lasers

    Credits: 3

    The theory of lasers including Light-matter interactions, atomic rate equations, threshold and oscillation; resonators and cavity modes; and laser dynamics including Q-switching and mode-locking. 

    Requisites:
    Prerequisite: PHYS 651 and PHYS 652.

    Typically Offered
    As needed


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  • PHYS 775 - Biological Physics

    Credits: 3

    This lecture course introduces basic cellular biology for students lacking a biological background and established connections between molecular and cellular phenomena (such as photosynthesis, cellular foraging, and nerve stimulation) and experimentally verifiable models built from physical (classical, statistical, and quantum mechanical, as well as electromagnetic) considerations. 

    Requisites:
    Prerequisite: PHYS 664.

    Typically Offered
    As needed.


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  • PHYS 800 - Problems in Physics I

    Credits: 1

    Independent study of the solution of advanced problems in physics at a level appropriate to the M.S. Degree.

    Requisites:
    Prerequisite: Graduate standing and consent of instructor.

    Typically Offered
    Spring


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  • PHYS 801 - Mathematical Methods of Physics

    Credits: 3

    Mathematical techniques for the solution of physical problems. Mathematical topics employed include vector and tensor analysis, matrices, group theory, complex variable theory, differential equations, Sturm-Liouville theory, orthogonal functions, special functions, Fourier series, integral transforms, and the calculus of variations.

    Requisites:
    Prerequisite: PHYS 522 and PHYS 532.

    Typically Offered
    Fall


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  • PHYS 802 - Computational Methods in Physics

    Credits: 4

    Methods of solving physical problems using digital computers including numerical differentiation and integration, error analysis and curve fitting, interpolation, ordinary and partial differential equations, matrix operations, eigenvalues, special functions of mathematical physics. Monte Carlo simulations, and stability of solutions.

    Note:
    Two hours lecture each week and a self-paced practicum.

    Requisites:
    Prerequisite: CIS 580 or MATH 655, PHYS 801, and a working knowledge of FORTRAN, C or C++.

    Typically Offered
    Spring


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  • PHYS 806 - Journal Club

    Credits: 1-18

    Seminar in current topics in physics.

    Note:
    May be repeated.

    Requisites:
    Prerequisite: Graduate standing in physics.

    Typically Offered
    Fall


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  • PHYS 807 - Graduate Physics Seminar

    Credits: 1

    Lecture by faculty and graduate students on topics of current research interest.

    Note:
    May be repeated.

    Requisites:
    Prerequisite: Graduate standing in physics.

    Typically Offered
    Fall, Spring


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  • PHYS 808 - Advanced Problems

    Credits: 1-18

    Independent study in a special problem in physics at the graduate level chosen with the advice of a faculty mentor.

    Requisites:
    Prerequisite: Graduate standing and consent of instructor.

    Typically Offered
    Fall, Spring, Summer


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  • PHYS 811 - Quantum Mechanics I

    Credits: 3

    Fundamental concepts and general formalisms of quantum theory and its applications to bound states, scattering or few state systems. Introduction to quantum applications of operators and state vectors.

    Requisites:
    Prerequisite: PHYS 709 and PHYS 801.

    Typically Offered
    Spring


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  • PHYS 821 - Advanced Dynamics

    Credits: 3

    Study of Lagrangian and Hamiltonian mechanics. Includes canonical transformations, the Hamilton-Jacobi equation, and elements of classical chaos theory.

    Requisites:
    Prerequisite: PHYS 801.

    Typically Offered
    Spring


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  • PHYS 831 - Electrodynamics I

    Credits: 3

    The interaction of electrical charges with each other and radiation as described by the theory of Maxwell and Lorentz. Topics include Coulomb’s law and vector fields, Ampere’s law and magnetic fields. Faraday’s law and inductive fields, continuity relations and conservation laws.

    Requisites:
    Prerequisite: PHYS 532 and PHYS 801.

    Typically Offered
    Fall


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  • PHYS 850 - Theory of Atomic Structure and Atomic Interactions

    Credits: 3

    The quantum mechanics of atomic structure and spectra: one and two electron atoms, many electron atoms, molecular structure and spectra, atomic collision theory for electron-atom and ion-atom collisions.

    Requisites:
    Prerequisite: PHYS 662.

    Typically Offered
    Fall, in alternate years


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  • PHYS 860 - Electron and Ion Impact Phenomena

    Credits: 3

    Atomic collision phenomena; experimental techniques in accelerator-based atomic physics; charged particle and photon spectroscopy; elastic, inelastic, and rearrangement collisions; and applications.

    Requisites:
    Prerequisite: PHYS 662.

    Typically Offered
    Spring, in alternate years


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  • PHYS 870 - Nonlinear and Quantum Optics

    Credits: 3

    Theory and applications of nonlinear optics: difference and sum frequency generation; ultrashort pulse characterizations; third order effects; Raman scattering; and higher harmonic generation.  Fundamentals of quantum optics including field quantization; coherent state; nonclassical light; and optical tests of quantum mechanics. 

    Requisites:
    Prerequisite: PHYS 633, PHYS 652, and PHYS 709.

    Typically Offered
    As needed


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  • PHYS 881 - Introduction to Solid State Physics

    Credits: 3

    Introduction to the physics of condensed matter: crystal lattices; lattice dynamics; electron energy bands; fermi surfaces; optical, magnetic, and transport properties of insulators, semiconductors, and metals.

    Requisites:
    Prerequisite: PHYS 662 or concurrent enrollment.

    Typically Offered
    Fall, in alternate years


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  • PHYS 899 - Research in Physics

    Credits: 1-18

    Master’s level research.

    Requisites:
    Prerequisite: Consent of instructor.

    Typically Offered
    Fall, Spring, Summer


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  • PHYS 907 - Advanced Topics in Physics

    Credits: 0-18

    Critical studies of selected advanced topics.

    Requisites:
    Prerequisite: Comparison of graduate introductory courses in the field of study or permission of the instructor.


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  • PHYS 910 - Problems in Physics II

    Credits: 1

    Independent study of the solution of advanced problems in physics at a level appropriate to the Ph.D. Degree.

    Requisites:
    Prerequisite: PHYS 800 and consent of instructor.


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  • PHYS 911 - Quantum Mechanics II

    Credits: 3

    Formalisms and applications of quantum theory, including symmetry in quantum systems, space-time symmetries, the rotation group, many body systems, and an introduction to relativistic quantum mechanics.

    Requisites:
    Prerequisite: PHYS 811.

    Typically Offered
    Fall


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  • PHYS 912 - Advanced Quantum Mechanics

    Credits: 3

    Relativistic quantum mechanics; scattering theory; second quantization and the many-body problem. Introduction to quantum electrodymatics.

    Requisites:
    Prerequisite: PHYS 911.

    Typically Offered
    On sufficient demand


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  • PHYS 913 - Advanced Topics in Mathematical Physics

    Credits: 3

    Critical studies of selected advanced topics.

    Note:
    May be repeated once for credit.

    Requisites:
    Prerequisite: PHYS 801.


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  • PHYS 914 - Quantum Field Theory

    Credits: 3

    Topics may include second quantization, quantization of the free scalar and Dirac fields, quantum electodynamics, quantization of the electromagnetic fild, propagators and Feynman rules, or other contemporary topics in quantum field theory.

    Requisites:
    Prerequisite: PHYS 911.

    Typically Offered
    On sufficient demand


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  • PHYS 931 - Electrodynamics II

    Credits: 3

    The interaction of electrical charges with each other and radiation as described by the theory Maxwell and Lorentz. Topics include the propagation and production of radiation, Lorentz transformations and relativistic dynamics.

    Requisites:
    Prerequisite: PHYS 831.

    Typically Offered
    Spring


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  • PHYS 953 - Advanced Topics in Atomic Interactions

    Credits: 1-18

    Critical studies of advanced topics in atomic interactions.

    Requisites:
    Prerequisite: PHYS 662.


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  • PHYS 971 - Statistical Mechanics

    Credits: 3

    The study of equilibrium states of physical systems involving many particles. Introduces basic concepts of statistical ensembles and presents applications to non-interacting systems for both classical and quantum-mechanical particles. Discusses aspects of interacting classical systems, including a brief introduction to phase transitions and critical phenomena.

    Requisites:
    Prerequisite: PHYS 662, PHYS 664, PHYS 821.

    Typically Offered
    Fall


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  • PHYS 981 - Solid State Physics

    Credits: 3

    Quantized lattice vibrations, methods of band structure calculations, effective mass formulations, applications to optical absorption, excitons, magnetism, and superconductivity.

    Note:
    Continuation of PHYS 881.

    Requisites:
    Prerequisite: PHYS 811, PHYS 662.

    Typically Offered
    Spring, in alternate years


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  • PHYS 982 - Advanced Topics in Solid State Physics

    Credits: 3

    Critical studies of selected advanced topics.

    Note:
    May be repeated once for credit.

    Requisites:
    Prerequisite: PHYS 881.


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  • PHYS 999 - Research in Physics

    Credits: 1-18

    Doctoral level research.

    Requisites:
    Prerequisite: Consent of instructor.

    Typically Offered
    Fall, Spring, Summer


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