Schr dinger equation, operator techniques, angular momentum, central force motion, spin, matrix representations, and elementary perturbation theory are studied. I three credits Boundary value problems in electrostatics, Green's functions and eigenfunction expansions. Also examined are Maxwell's equations, momentum and energy of the electromagnetic field, radiation, multipole expansions, scattering, special relativity and Lagrangian formulation, radiation from moving charge, radiation reaction. PHY 615 Theoretical Mechanics and Relativity three credits The Lagrangian and Hamiltonian formulation of Newtonian mechanics. Also covered are variational principles, transformation theory, Poisson brackets, Hamilton-Jacobi theory, special relativity and the covariant formulation of particle mechanics.
General relativity is introduced.
A seminar devoted to the discussion of topics in modern physics and related subjects. I three credits Mathematical methods in physics. Linear algebra, complex variable theory, eigenfunction expansions and orthogonal functions, the special functions of mathematical physics are studied. PHY 622 Advanced Mathematical Physics II three credits Continuation of PHY 511. Partial differential equations, integral equations, Green's functions, generalized functions, calculus of variations, and group theory are studied.