### COURSE: PHYS 476 - Advanced Quantum Theory

** INSTRUCTOR: ** Dr. Fearn

**TEXT:** "Elementary Atmoic Structure", by G. K. Woodgate Oxford U. P.,
"Atmomic and Laser Physics", by A. Corney Clarendon Press.
"Physics of atoms and molecules" by Bransden & Joachain,
Addison/Wesley. "The theory of atomic structure and spectra" by R. D. Cowan,
University of California Press, Berkeley.

Handouts will be used through out the course for topics not in the book.
The following books might be useful and can be found in the library;

"The quantum theory of light", 2nd Edition, by Rodney Loudon, Oxford U.P.

"Quantum mechanics" by Merzbacher

"Angular Momentum" by Zare

"Lectures on quantum mechanics" by Baym

### EXAMS/PROBLEMS:

There will be 1 midterm worth 45% and a final worth 55%. Problems
sheets handed out in xerox form, these are not graded, answer
will be given out.

### GENERAL SUMMARY

Notes will be available to supplement the course. The aim of the course
is to get across the fundamentals of quantum mechanics. I hope students
will leave the course with an idea of how to solve simple atomic problems
and have a good idea about the sorts of problems people are at present
working on. There will be research "talks" with notes handed out.

### COURSE CONTENT

The course emphasizes theoretical atomic theory and some approximation
methods in QM. I will stress the interaction of photons with atoms.
The topics covered include;

1. a and a^dag notation and the Harmonoic oscillator (2nd quantization)

2. Beamsplitter problems

3. quantum eraser experiments

4. angular momentum

5. hydrogren atom, fine structure and Zeeman splitting

6. Spin

7. many electron atoms, spectroscopic notation, terms and sublevels

8. Zeeman effect in hyperfine structures

9. LS coupling

10. Clebsch Gordan coefficients

11. Approx method in QM, time dependent perturbation theory etc

12. Atomic lineshape in QM (using pert. theory)

13. Intro to laser physics (time permitting)