Graduate Degree Courses of Physics at Virginia Polytechnic Institute and State University
Physics Courses For Graduate at Virginia Polytechnic Institute And State University
PHYS 4315 - Modern Experimental Physics
Representative apparatus, techniques, and phenomena of contemporary research. Includes electrical measurements, computers, thermometry, vacuum deposition, machine shop, nuclear spectra, experimentation related to major developments of modern physics. I,II.
Credit Hours: 2
Level(s): Undergraduate and Graduate
Instruction Type: Lab
PHYS 4316 - Modern Experimental Physics
Representative apparatus, techniques, and phenomena of contemporary research. Includes electrical measurements, computers, thermometry, vacuum deposition, machine shop, nuclear spectra, experimentation related to major developments of modern physics. I,II.
Credit Hours: 2
Level(s): Undergraduate and Graduate
Instruction Type: Lab
PHYS 4455 - Introduction to Quantum Mechanics
Experimental bases; postulates; conservation theorems and symmetry; one-dimensional and two-dimensional problems; angular momentum and problems in three dimensions; matrix mechanics and spin; applications to atomic and molecular physics; perturbation theory; scattering. I,II.
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4456 - Introduction to Quantum Mechanics
Experimental bases; postulates; conservation theorems and symmetry; one-dimensional and two-dimensional problems; angular momentum and problems in three dimensions; matrix mechanics and spin; applications to atomic and molecular physics; perturbation theory; scattering. I,II.
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4504 - Introduction to Nuclear and Particle Physics
Structure and properties of atomic nuclei and elementary particles, theoretical interpretations based on elementary quantum mechanics. Symmetries; various nuclear models; interactions at small distances; classification of elementary particles. Consent required. II
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4554 - Introduction to Solid State Physics
Basic concepts of solid state physics including crystal structure, lattice vibrations, electron states, energy bands, semiconductors, metals. Consent required. II
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4574 - Nanotechnology
Introduction to methods of controlling matter on the nanometer length scale and the applications thereof. Nanolithography, self-assembly, and scanned probe microscopy; nanomaterials including fullereness, carbon nanotubes, and quantum dots; nanoscale and molecular electronics; nanoelectromechanical systems; nanoscale optoelectronics; and nanobiotechnology.
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4674 - Introduction to General Relativity
Introduction to methods and applications of Einstein’s general theory of relativity. Space and time and gravity in Newtonian physics; special theory of relativity, gravity as geometry of curved space-time; black holes; cosmology; Einstein’s gravitational field equations; gravitational waves and relativistic stars.
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 4714 - Introduction to Biophysics
Selected topics from the general area of biomechanics, bioelectricity, radiation biophysics, molecular biophysics, and thermodynamics and transport in biological systems. Emphasis on the physical aspects of biological phenomena and biophysical measurement techniques and instrumentation. I
Credit Hours: 3
Lecture Hours: 3
Level(s): Undergraduate and Graduate
Instruction Type: Lecture
PHYS 5354 - Classical Mechanics
Theory of classical Lagrangian and Hamiltonian mechanics of particles and rigid bodies, including canonical transformations and Hamilton-Jacobi theory. Consent required. II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5405 - Classical Electromagnetism
Classical theory of electromagnetism and its applications. 5405: Electrostatics and magnetostatics; Maxwell’s equations and electromagnetic waves; wave guides, apertures, and antennae. 5406: Special relativity and Lagrangian and Hamiltonian formulations; Lienard-Wiechert potentials, motion, radiation, and energy loss be charged particles; self-fields and radiative damping; magnetic monopoles and field theories. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5406 - Classical Electromagnetism
Classical theory of electromagnetism and its applications. 5405: Electrostatics and magnetostatics; Maxwell’s equations and electromagnetic waves; wave guides, apertures, and antennae. 5406: Special relativity and Lagrangian and Hamiltonian formulations; Lienard-Wiechert potentials, motion, radiation, and energy loss be charged particles; self-fields and radiative damping; magnetic monopoles and field theories. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5455 - Quantum Mechanics
General principles of nonrelativistic quantum mechanics from the point of view of advanced dynamics, with applications to problems of atomic and nuclear structure. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5456 - Quantum Mechanics
General principles of nonrelativistic quantum mechanics from the point of view of advanced dynamics, with applications to problems of atomic and nuclear structure. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5504 - Nuclear and Particle Physics
Properties of nuclei, two-nucleon systems, nuclear force, nuclear models, nuclear reactions, alpha and beta decay, and fission. Relativistic kinematics, invariance principles, quantum numbers, strange particles, weak interactions, formation and production reactions, and symmetries. Consent required. I
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5555 - Solid-State Physics
Solidity, crystal structure, k-space, quantum mechanics of covalent bonding, phonon excitations, thermal energy, the nearly-free-electron approximation, Bloch electrons, E(k) energy bands in semiconductors and metals, density of states, optical properties of solids, donors and acceptors in semiconductors, excitons, plasmons, polaritons, electrical properties, magnetic materials, the percolation model and phase transitions, metal-insulator transitions, and amorphous solids. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5556 - Solid-State Physics
Solidity, crystal structure, k-space, quantum mechanics of covalent bonding, phonon excitations, thermal energy, the nearly-free-electron approximation, Bloch electrons, E(k) energy bands in semiconductors and metals, density of states, optical properties of solids, donors and acceptors in semiconductors, excitons, plasmons, polaritons, electrical properties, magnetic materials, the percolation model and phase transitions, metal-insulator transitions, and amorphous solids. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5614 - Introduction to Quantum Electronics
Theory of laser oscillation, optical resonators, interaction of radiation and atomic systems, giant pulsed lasers, laser systems, wave propagation in nonlinear media, modulation of optical radiation, noise in optical detection and generation, and interaction of light and sound. II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5705 - Statistical Mechanics
Theory of classical and quantum statistical mechanics. Derivation of thermodynamics. 5705: ensembles, fluctuations and ideal gas systems. 5706: modern developments and advanced topics. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5706 - Statistical Mechanics
Theory of classical and quantum statistical mechanics. Derivation of thermodynamics. 5705: ensembles, fluctuations and ideal gas systems. 5706: modern developments and advanced topics. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5714 - Methods of Theoretical Physics
Selected topics in mathematical physics. Review of analytic function theory. Matrices, spectral theory of operators in Hilbert Space with applications to quantum mechanics. Solution of partial differential equations of mathematical physics, boundary-value problems, and special functions. Distribution theory and Green’s functions. Consent required. I
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5794 - Computational Physics
Survey of computational methods in physics. Applications of Fourier analysis, curve fitting, solving differential equations, solving integral equations, Monte Carlo simulations, symbolic mathematics, and graphic simulations in mechanics, electromagnetism, nuclear physics, atomic physics, molecular physics, and condensed matter physics. I
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5894 - Final Examination
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 5904 - Project and Report
Credit Hours: 1 to 19
Level(s): Graduate
Instruction Type: Research
PHYS 5944 - Seminar
Credit Hours: 1
Lecture Hours: 1
Level(s): Graduate
Instruction Type: Lecture
PHYS 5974 - Independent Study
Credit Hours: 1 to 19
Lecture Hours: 1 to 19
Level(s): Graduate
Instruction Type: Independent Study
PHYS 5984 - Special Study
Credit Hours: 1 to 19
Lecture Hours: 1 to 19
Level(s): Graduate
Instruction Type: Lecture, Lecture 1, Lecture 2, Lecture 3
PHYS 5994 - Research and Thesis
Credit Hours: 1 to 19
Level(s): Graduate
Instruction Type: Research
PHYS 6455 - Advanced Quantum Theory
Classical field theory; Noether’s theorem and symmetries; second quantization and many-body formalism; free quantum Klein-Gordon, Dirac, and Maxwell fields; and interacting fields, S-matrix and covariant perturbation theory. Feynman diagrams; quantum electrodynamics; renormalization; path-integral formulation; non-Abelian guage theories; and elements of electro-weak theory. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6456 - Advanced Quantum Theory
Classical field theory; Noether’s theorem and symmetries; second quantization and many-body formalism; free quantum Klein-Gordon, Dirac, and Maxwell fields; and interacting fields, S-matrix and covariant perturbation theory. Feynman diagrams; quantum electrodynamics; renormalization; path-integral formulation; non-Abelian guage theories; and elements of electro-weak theory. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6555 - Advanced Solid-State Physics
Applications of field-theory techniques to many-body aspects of solid-state physics. 6555: Green functions, Feynman diagrams, lattice Hamiltonian, neutron scattering, electron gas, Fermi-liquid theory, and linear-response theory. 6556: Electron-phonon interaction in metals and semiconductors, polarons, optical properties, excitons, superconductivity, and excitations in magnetic materials. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6556 - Advanced Solid-State Physics
Applications of field-theory techniques to many-body aspects of solid-state physics. 6555: Green functions, Feynman diagrams, lattice Hamiltonian, neutron scattering, electron gas, Fermi-liquid theory, and linear-response theory. 6556: Electron-phonon interaction in metals and semiconductors, polarons, optical properties, excitons, superconductivity, and excitations in magnetic materials. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6675 - General Relativity and Cosomology
6675: Differential geometry; equivalence principle; general theory of relativity; classical tests; post-Newtonian approximation; special solutions. 6676: Black holes; observational basis of cosmology; relativistic model universes; nucleosynthesis; cosmoic background radiation; dark matter; inflation. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6676 - General Relativity and Cosomology
6675: Differential geometry; equivalence principle; general theory of relativity; classical tests; post-Newtonian approximation; special solutions. 6676: Black holes; observational basis of cosmology; relativistic model universes; nucleosynthesis; cosmoic background radiation; dark matter; inflation. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6714 - Selected Topics in Theoretical Physics
Topics of current interest in theoretical physics as announced in Timetable. May be repeated for credit with permission. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6725 - Elementary Particle Physics
Symmetry principles, quark model, scattering-theory and particle-theory processes, weak interactions, quantum chromodynamics, spontaneous symmetry breaking, and unified field theories. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6726 - Elementary Particle Physics
Symmetry principles, quark model, scattering-theory and particle-theory processes, weak interactions, quantum chromodynamics, spontaneous symmetry breaking, and unified field theories. Consent required. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6755 (MATH 6755) - Mathematical Foundations of Quantum Mechanics
Advanced course in mathematical physics which encompasses the frontiers of research in quantum theory. Content varies from year to year and includes scattering theory, spectral and perturbation theory, and many-body quantum dynamics. This course frequently taken concurrent with thesis research. The course alternates with Math 6745-6746 and may be taken a second time with instructor’s consent. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 6756 (MATH 6756) - Mathematical Foundations of Quantum Mechanics
Advanced course in mathematical physics which encompasses the frontiers of research in quantum theory. Content varies from year to year and includes scattering theory, spectral and perturbation theory, and many-body quantum dynamics. This course frequently taken concurrent with thesis research. The course alternates with Math 6745-6746 and may be taken a second time with instructor’s consent. I,II
Credit Hours: 3
Lecture Hours: 3
Level(s): Graduate
Instruction Type: Lecture
PHYS 7994 - Research and Dissertation
Credit Hours: 1 to 19
Level(s): Graduate
Instruction Type: Research
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