Advanced Quantum Mechanics


Concepts of quantum fields and canonical quantization; non-relativistic quantum mechanics in Fock space; Hamiltonians for relativistic particles; Dirac Hamiltonian and spin-half particles; Hamiltonians for lattice vibrations, phonons, and scalar particles; electromagnetic field quantization; gauge symmetry and the Hamiltonian for photons; global symmetries and spontaneous symmetry breaking; interactions of atoms with the electromagnetic field; density matrix; the path integral formulation; entanglement; interacting bosons and superfluidity; interacting fermions and superconductivity; additional possible topics include coherent state path integral methods for bosons and fermions. Instructor: Barthel, Chandrasekharan
Typically Offered
Fall Only