Physics 314: Quantum Mechanics II

Spring 2019 Course schedule

 

Week

Material covered

Homework assignment

 Jan 16,18

(short week)

Time-independent perturbation theory

Non-degenerate perturbation theory

Jan 23, 25

Time-independent perturbation theory

Degenerate perturbation theory

H-atom review

Homework #1

Due 1/28

Solutions

Jan 28 - Feb 1

Time-independent perturbation theory

Stark effect: H-atom in E-field

Relativistic corrections

Fine structure of hydrogen

Dirac equation (if you are curious)

Homework #2

Due 2/4

Solutions

Feb 4-8

Time-independent perturbation theory

Zeeman effect

Hyperfine structure

Hyperfine Zeeman effect

Homework #3

Due 2/11

Solutions

Feb 11-15

Variational methods

General method

Applications for He atoms and H2 ions

February 15: Midterm test #1 (solutions)

 

Feb 18-22

Time-dependent perturbation theory  

Two-level system

Multi-level system

Sinusoidal excitation and Rabi oscillations

Neat Rabi oscillation visualization

Homework #4

Due 2/25

Solutions

Feb 25 - March 1

Time-dependent perturbation theory

Emission and absoprtion of light

Einstein A and B coefficients

Selection rules for optical atomic transitions

 

March 9-14

Spring break

 

March 11-15

Identical particle and multi-particle systems

Bosons and fermions

Exchange interaction

Homework #5

Due 3/18

Solutions

March 18-22

Identical particle and multi-particle systems

Free fermi gas

Quantum theory of conductivity

Quantum Statistical Mechanics

Homework #6

Due 3/25

Solutions

March 25-29

Identical particle and multi-particle systems

Quantum statistical distributions

Second quantization

More details on second quantization

Homework #7

Due 4/1

Solutions

Apr 1-5

Scattering theory

Introduction. Partial wave analysis

April 5: Midterm test #2 (solutions)

 

Apr 8-12

Scattering theory

Partial wave analysis

S-wave scattering

The Born approximation

Very brief intro to Green's functions

Homework #8

Due 4/15

Solutions

Apr 15-19

Applications

Perturbation theory via Feynmann Diagrams

Inelastic scattering

Homework #9

Due 4/22

Solutions

Apr 22-26

Applications

Deep Inelastic scattering

More technical introduction to DIS

History of the quark discovery

Density matrix approach

Course reviews

May 6

Final exam 9am-12pm