Physics 735: Advanced Quantum Mechanics

Fall 2006
Instructor Prof. Ch. Elster
Office 265 Clippinger
e-mail elster@ohiou.edu
URL www.phy.ohiou.edu/~elster/phys735/
Class MWF, MWF, 1:10pm - 2:00pm, Clippinger 131
Office hours by appointment as needed

Textbooks (optional):
Advanced Quantum Mechanics: F. Schwabl, Springer 1997 (well written)
Relativistic Quantum Mechanics: Wave Equations by W. Greiner, Springer 1997 (learning by solving problems)
Relativistic Quantum Mechanics by S.D. Bjorken and J.D. Drell (Library only)

Additional References:
Relativisitc Quantum Mechanics and Introduction to Field Theory, F. J. Yndurain, Springer 1996.
Modern Quantum Mechanics, J.J. Sakurai, San Fu Tuan, Addison-Wesley, 1994
Quantum Mechanics II, A. Messiah
Relativistic Quantum Mechanics and Field Theory, F. Gross, (Wiley 1999)

Mathematical References:
Mathematical Methods for Physicists, G.B. Arfken, H.J. Weber
Methods of Mathematical Physics, Vol. 1, Courant and Hilbert
Methods of Theoretical Physics, I and II, Morse and Feshbach

Grading

Problem sets: 30%; Class Participation: 10%; Take-Home exam: 30%; In-Class Exam: 30%

Homework

Homework will be assigned once every week or once every two weeks, depending on the amount and length of the problems.

Course Content

A course `advanced quantum mechanics' can be viewed on the one hand a course where some of the material is revisited and put into a broader context, on the other hand it should also show some of the advanced concepts, which lead from nonrelativistic quantum mechanics to the problems the incoorporation of special relativity intoduces to quantum mechancis, and which eventually lead to quantum field theory.

  • Quantum Dynamics
  • Relativistic Wave Equations (Klein-Gordon, Dirac)
  • Second Quantization

Lecture Notes:

Table of Contents:
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Appendix A

Homework

Charlotte Elster
August 28 2006