Physics 511Quantum Mechanics
Course SyllabusFall 2008
Instructor: 
Prof. Steven Gottlieb 
Office: 
Swain West 226 
Phone Number: 
8550243 
Email: 
sg at indiana.edu 
URLs: 
www.physics.indiana.edu/~sg/
www.physics.indiana.edu/~sg/p511/p511.html

Office Hours: 
any mutually convenient time when I am in or by appointment.
This policy is designed to make it easier for you to see me.
Please take advantage of it.

Grader: 
Hamed Shojaei 


 Course
 Physics 511 meet TH 10:10
a.m.12:05 p.m. in Swain West 217.
Prerequisites
 Physics undergraduate Electricity and Magnetism, Classical Mechanics and
Quantum Mechanics or consent of instructor
 MathematicsElementary ordinary differential equations; matrix algebra;
complex variables; Fourier analysis
Text

Modern Quantum Mechanics
by J.J. Sakurai. We are using the Revised Edition, published by
Addison Wesley (1994).
I expect to cover the first 34 chapters in P511.
Description

You will learn the motivation for and
theory of quantum mechanics. The Schr\"odinger wave function formalism and
operator methods are both developed. Applications to one dimensional
potential problems, the harmonic oscillator, the hydrogen atom and angular
momentum are discussed.
Course Goals
 1. Describe (some of) the experimental results which lead to the
need for a modification to classical mechanics.
 2. Explain the physical interpretation of a wave packet and the
uncertainty relation.
 3. Solve one and threedimensional potential problems by calculating
eigenfunctions and eigenvalues.
 4. Become confortable with the formalism of Hilbert space and linear
operator theory.
 5. Understand the relationship between the Schroedinger and Heisenberg
formulations of quantum mechanics.
 6. Perform separation of variables for the
Schroedinger equation in three dimensions.
 7. Understand angular momentum and rotational symmetry.
Homework
 There will be assignments almost every week.
Exams
 There will be two midterm exams and a final exam. The first midterm
will be given approximately the 9th week of the semester and the
second will be given the Tuesday before Thanksgiving.
Grading
 Each midterm exam will count 20 percent of your grade. The final will
count 30 percent, as will the homework.
Late Assignments

It is unwise to expect to be able to
do your assignments the night before they are due.
Start work early on each assignment.
Homework handed in within 24 hours of time due will have 10% of the
value of the assignment subtracted. Homework handed in between 24 and 48
hours late will have 20% of its value subtracted. Homework handed in later
will be accepted at the discretion of the instructor and will be reduced
in value by 40%.
Academic Honesty
 One of the best ways to learn and to enjoy physics is by discussing
it with colleagues. It is expected that you may wish to discuss the problems
with others in the class. However, when you write up
the homework solutions, they should come from your own head, or your own
notes from a discussion, not from the written work of someone else.
Naturally on the exams you will be expected to work on your own.
COURSE TOPICS
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)
Spin1/2 systems
Commutation Relations
Eigenstates of angular momentum
Addition of angular momentum
ClebschGordon coefficients
WignerEckart theorem
Symmetries (as time allows)
Conservation laws
Degeneracies
Parity
Time reversal
Translations
BIBLIOGRAPHY
*G. Baym, Lectures on Quantum Mechanics (Benjamin)
H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One and TwoElectron Atoms (Springer)
*P.A.M. Dirac, The Principles of Quantum Mechanics (Oxford)
*S. Gasiorowicz, Quantum Physics (Wiley)
*L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon)
H.J. Lipkin, Quantum Mechanics (North Holland)
*E. Merzbacher, Quantum Mechanics (Wiley)
A. Messiah, Quantum Mechanics (2 volumes) (Wiley)
Roger Newton, Quantum Physics: A Text for Graduate Students (Springer Verlag)
*L.I. Schiff, Quantum Mechanics (McGrawHill)
*On reserve in Swain Hall Library.