Physics 622: Quantum Mechanics II

Spring 2016 Course schedule

 

Week

Material covered

Homework assignment

 Jan 22

(short week)

Hydrogen atom (refresher)

Homework #1

Due 1/29

Solutions

Jan 25, 29

Time-independent perturbation theory

Homework #2

Due 2/5

Solutions

Feb 1, 5

Time-independent perturbation theory: degenerate case

General formulation

Hydrogen atom in external fields

Homework #3

Solutions

Due 2/19

Feb 8, 12

Applications: atomic structure

Relativistic corrections

Zeeman effect: revised

Derivation of the hyperfine structure and Zeeman effect, from "Quantum Mechanics" by E. D. Commins

 

Feb 15, 19

Time-dependent perturbation theory

Exact solition, Rabi oscillations

Dyson series

Homework #4

Solutions

Due 2/26

Feb 22, 26

Applications: time evolution of quantum systems

Fermi's golden rule

Adiabatic approximation

Homework #5

Due 3/4

Solutions

February 29, March 4

Variational method

March. 4: midterm test

Midterm solutions

 

March 7-12

Spring break

 

March 14, 18

Discrete symmetries

Parity operator

Parity non-conservation and time inversion operator

Homework #6

Due 3/25

Solutions

March 23, 25

Identical particle and multi-particle systems

Lattice symmetry

Identical particles

Homework #7

Due 4/1

Solutions

March 28, 30

Quantization of electromagnetic field

Second quantization

Quantization of the electromagnetic field

Homework #8

Due 4/8

Solutions

Apr 6, 8

QED: spontaneous emission, Lamb shift, Casimir force

Scattering theory: basic introduction

Homework #9

Due 4/15

Solutions

Apr 11, 15

Scattering theory: Partial wave approximation

Scattering of the fast and slow particles

Homework #10

Due 4/22

Solutions

Apr 18, 22

Introduction of the Dirac equation

Homework #11

Due 4/29

Solutions

Apr 25, 29

Dirac equation

Relativistic treatment of H atom

 

May 9, 2-5pm

Final exam