Phys 784

Quantum Mechanics II

Time and Location

Tuesday, 4:30 pm-7:10 pm, 01/22-05/15, Robinson Hall B105

Office hours

Tuesday and Thursday 2:00-3:00 pm or by appointment, Planetary Hall, Rm 207

Textbook

For the sake of continuity, I will continue to follow (only loosely) the book

Modern Quantum Mechanics, 2nd Edition, J. J. Sakurai, and J. J. Napolitano

and cover chapter 5 to 7 (we will skip Dirac Equation in Chapter 8 and Berry phase since they have been discussed in 684).

Plenty of materials from other sources will also be used.

Grades

Homework (50%) + Midterm (25%) + Final exam (25%)

There will be 8 sets of homeworks. Late homework will not be accepted. Homeworks are graded on a coarse level: Excellent (5), Very Good (4), Good (3), Fair (2), Absent (0).

Both exams will be open book, take-home.

Prerequisites & Course Goals

This course continues from Phys 684, Quantum Mechanics I (chapter 1 to 4 of Sakurai). We will apply the principles you learned from 684 to solve important problems found in AMO, condensed matter, and nuclear/particle physics. Most of these problems cannot be solved exactly, so we will focus on the art of approximations. Each approximation method will be illustrated by working out examples in detail. We will also develop concepts and techniques to treat many-body quantum systems. Time permitting, we will take a peek at quantum electrodynamics in its simple form (two-level atoms interacting with photons) and entanglement.

Topics (tentative)

1.  Variational principle

2. Semiclassical expansion

3.  Time-independent perturbation theory

4.  Time-dependent perturbation theory

5.  Scattering theory, S-matrix, resonances

6.  Identical particles, second quantization

7.  Quantum theory of radiation, photon, coherent states

8. Cavity quantum electrodynamics

9. Entanglement