Physics 511---Quantum Mechanics
Course Syllabus---Fall 2008
||Prof. Steven Gottlieb
||Swain West 226
||sg at indiana.edu
||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.
- Physics 511 meet TH 10:10
a.m.--12:05 p.m. in Swain West 217.
- Physics--- undergraduate Electricity and Magnetism, Classical Mechanics and
Quantum Mechanics or consent of instructor
- Mathematics---Elementary ordinary differential equations; matrix algebra;
complex variables; Fourier analysis
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.
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.
- 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
- 3. Solve one- and three-dimensional potential problems by calculating
eigenfunctions and eigenvalues.
- 4. Become confortable with the formalism of Hilbert space and linear
- 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.
- There will be assignments almost every week.
- 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.
- Each midterm exam will count 20 percent of your grade. The final will
count 30 percent, as will the homework.
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%.
- 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.
States of a quantum mechanical system
Kets, bras, and operators
Position and Momentum
Time evolution and the Schrodinger equation
Schrodinger and Heisenberg Pictures
Simple Harmonic Oscillator
Rotation group, Euler angles, SO(3), SU(2)
Eigenstates of angular momentum
Addition of angular momentum
Symmetries (as time allows)
*G. Baym, Lectures on Quantum Mechanics (Benjamin)
H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One- and Two-Electron 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 (McGraw-Hill)
*On reserve in Swain Hall Library.