Angular
momentum and symmetries in quantum mechanics from group theory
viewpoint; time-independent and time-dependent perturbation theory;
path integral formulation; scattering theory; identical particles;
applications.
Possible principal texts:
Cohen-Tannoudji,
Diu and Laloe, Quantum Mechanics
- 2 vols. (Wiley-Interscience)
Shankar,
Principles of Quantum Mechanics
(Springer)
The prerequisite is
at least
one semester of a Quantum Mechanics
course at the level of R. Shankar's textbook.
In Duke Physics, there is an
undergraduate "Quantum Mechanics I" course (PHY 211), with the synopsis:
Experimental foundation of quantum mechanics; wave-particle duality; the single-particle Schrodinger equation and the physical meaning of the wave function; methods for studying the single-particle Schrodinger equation; analytical solutions of the harmonic oscillator and hydrogen atom and experimental tests of these solutions; angular momentum and spin systems; and finally the many-particle Schrodinger equation and consequences of identical particles existing in nature.