Prerequisites: a strong undergraduate background in E-M and classical mechanics. Qualified undergraduates may be admitted with the instructors permission. The basic physics of high energy astrophysical phenomena. Protostars, equations of stellar structure; radiative transfer theory; stellar nucleosynthesis; radiative emission processes; equations of state and cooling theory for neutron stars and white dwarfs, Oppenheimer-Volkoff equation; Chandrasekhar limit; shocks and fluids; accretion theory for both disks and hard surfaces; black hole orbits and light bending.
Prerequisites: PHYS W4021-W4022, or their equivalents. Applications to atoms and molecules, including Thomas-Fermi and Hartree-Fock atoms; interaction of radiation with matter; collision theory; second quantization.
Lagrangian density formalism of Lorentz scalar, Dirac and Weyl spinor, and vector gauge fields. Action variations, symmetries, conservation laws. Canonical quantization, Fock space. Interacting local fields, temporal evolution. Wicks theorem, propagators, and vertex functions, Feynman rules and diagrams. Scattering S matrix examples with tree level amplitudes. Path quantization. 1-loop intro to renormalization.
Recent progress in control of atoms with lasers has led to creating the coldest matter in the universe, constructing ultra precise time and frequency standards, and capability to test high energy theories with tabletop experiments. This course will cover the essentials of atomic physics including the resonance phenomenon, atoms in magnetic and electric fields, and light-matter interactions. These naturally lead to line shapes and laser spectroscopy, as well as to a variety of topics relevant to modern research such as cooling and trapping of atoms. It is recommended for anyone interested in pursuing research in the vibrant field of atomic, molecular, and optical (AMO) physics, and is open to interested students with a one year background in quantum mechanics. Both graduate students and advanced undergraduates are welcome.
Prerequisites: PHYS E6081 or the instructors permission. Semiclassical and quantum mechanical electron dynamics and conduction; dielectric properties of insulators; semiconductors; defects; magnetism; superconductivity; low-dimensional structures; soft matter.
Prerequisites: PHYS G6092. This course will study the classical field theories used in electromagnetism, fluid dynamics, plasma physics, and elastic solid dynamics. General field theoretic concepts will be discussed, including the action, symmetries, conservation laws, and dissipation. In addition, classical field equations will be analyzed from the viewpoint of macroscopic averaging and small-parameter expansions of the fundamental microscopic dynamics. The course will also investigate the production and propagation of linear and nonlinear waves; with topics including linearized small-amplitude waves, ordinary and extraordinary waves, waves in a plasma, surface waves, nonlinear optics, wave-wave mixing, solitons, shock waves, and turbulence.
Advanced statistical mechanics.