# P511 Quantum Mechanics

Department of Physics, Indiana University

Fall, 2008

# Final exam is in SW21 on Tuesday December 16 at 8 a.m.

Here is the cover sheet showing the formulae you will have available.
You will also have the sheet of Clebsch-Gordan coefficients from the
Particle Data Book that was shown in class.

go to lecture notes
go to homework assignments

## Instructor: Steven Gottlieb

Meets: Tuesday and Thursday, 10:10 a.m. to 12:05 p.m. in
Swain West 217

Grader: Hamed Shojaei

## Syllabus

This is a first year graduate course in Quantum Mechanics.
Course policies and a bibliography are detailed in
the syllabus
for the course.

## About the Textbook

The textbook is *Modern Quantum Mechanics
* by J.J. Sakurai. We are using the Revised Edition, published by
Addison Wesley (1994).
I expect to cover the first 3-4 chapters in P511.

## Topics Covered

#### Fundamentals

States of a quantum mechanical system
Representations
Kets, bras, and operators
Amplitudes
Position and Momentum
Wave Functions
#### Quantum Dynamics

Time evolution and the Schrodinger equation
Schrodinger and Heisenberg Pictures
Simple Harmonic Oscillator
Path Integrals
#### Angular Momentum

Rotation group, Euler angles, SO(3), SU(2)
Spin-1/2 systems
Commutation Relations
Eigenstates of angular momentum
Addition of angular momentum
Clebsch-Gordon coefficients
Wigner-Eckart theorem
#### Symmetries (to be covered as time allows)

Conservation laws
Degeneracies
Parity
Time reversal
Translations

## Student Academic Support Center

## Material Relating to Lectures Will Appear Here

(PDF) Notes for
Lecture
1 - Introduction and Historical Perspective (September 2).

Magnetic Moments of the Alkali Metal Atoms, John B. Taylor, Phys. Rev. 28, 576 - 583 (1926)
.

(PDF)
Stern and Gerlach: How a Bad Cigar Helped Reorient Atomic Physics

Notes related to derivation of Eq. (3.7.54) discussed
Thursday, November 20, 2008.
.

##

Homework Assignments Will Appear Below

Homework
Assignment 1 (Due Thursday, September 11, 2008)
.

Homework
Assignment 2 (Due Tuesday, September 16, 2008)
.

Homework
Assignment 3 (Due Tuesday, September 23, 2008)
.

Homework
Assignment 4 (Due Tuesday, September 30, 2008)
.

Homework
Assignment 5 (Due Tuesday, October 7, 2008)
.

Homework
Assignment 6 (Due Thursday, October 23, 2008)
.

Homework
Assignment 7 (Due Tuesday, October 28, 2008)
.

Homework
Assignment 8 (Due Tuesday, November 4, 2008)
.

Homework
Assignment 9 (Due Tuesday, November 11, 2008)
.

Homework
Assignment 10 (Due Tuesday, November 18, 2008)
.

Homework
Assignment 11 (Due Tuesday, December 9, 2008)
.