Advanced Quantum Mechanics
Information for students taking the fourthyear 10credit module Advanced Quantum Mechanics is now provided through the Yorkshare VLE.
Indicative syllabus:

Timedependence: Brief review of timedependent Schrödinger equation; stationary states; timeevolution of general wavefunctions; time evolution operator; timeenergy uncertainty relation. Timedependent perturbation theory. Fermi's golden rule; selection rules for atomic transitions reexamined. Ehrenfest’s theorem.

The classical limit: Classical mechanics of particles as a limit of quantum mechanics, mostly studied through wavepacket motion.

Manyparticle systems: Identical particles and exchange symmetry, fermions and bosons, the Pauli Principle; use of Slater determinants. Variational principle for manyelectron systems; the Hartree and HartreeFock approximations. Densityfunctional theory and the localdensity approximation.

Second quantisation: Creation, annihilation and number operators; their use for manyparticle systems; anticommutation relations; field operators; Heisenberg picture. Introduction to manybody perturbation theory. Introduction to quantisation of the electromagnetic field.
Rex Godby