Quantum Phisycs 2

This is an advanced quantum mechanics course that builds upon the
introductory course of the prevous semester, and specifically introduces
three-dimensional systems (in particular the hydrogen atom) and a
variety of theoretical developments, including the theory of angular
momentum, spin, path-integral methods, perturbation theory, scattering
theory, identical particles, and entanglement.

At the end of this course the student
1. will know how to deal with the Schroedinger equation for intera
cting two-particles systems (including the case of identical particles) 2. will be able to solve for the spectrum of the Hamiltonian for central problems using spherical coordinates
3. will be able to determine the spectrum of the hydrogen atom
4. will be able to determine the spectrum of the orbital angular momentum
operator and of intrinsic angular momentum (spin) operators, and will
be able to add angular momenta
5. will be capable of connecting classical and quantum equations of motion, using either the WKB approximation or a path-integral approach
6. will be able to compute time-independent perturbations to the spectrum of a known Hamiltonian
7. will be able to calculate a transition amplitude using time-dependent perturbation theory
8. will be able to compute a cross section in terms of an amplitude
9. will be able to write down the wave function for a system of identical particles
10. will be able to determine the density matrix for a statistical ensemble and use it to calculate expectation values.