### COURSE: PHYS 455- QUANTUM MECHANICS

** INSTRUCTOR: ** Dr. Fearn

**TEXT: ** Notes will be handed out in class. I am
recommending the text, "Introduction to quantum theory", by
Park McGraw Hill 3rd edition. As supplementary reading I would
recommend the quantum mechanics books by Merzbacher and vol III
of the Feynman Lectures.
The quantum mechanics book by Schiff is also useful.

### EXAMS/PROBLEMS:

There will be one midterm and a final exam, the midterm is worth 30% and
the final worth 40%. Problems will be assigned on a regular basis and will
be taken from the book and hand out problems. Each assignment will be
given to you in xerox form. Problems are worth 30%.
No late problems will be accepted unless instructor has been given a
good reason in advance.

### COURSE CONTENT:

**A. INTRODUCTION TO QM:**

1. Limits of classical mechanics. (*)

2. Quantum mechanical operators and Schrodingers equation.

3. One-dimensional solution of Schrodingers eqn. (*)

4. Particle beams.

5. Measurement and uncertainties.

6. Finite one-dimensional well. (*)

7. The simple harmonic oscillator. (*)

8. Schrodingers equation in three dimensions. (*)

9. Angular momentum and the hydrogen atom.

10. Dirac notation.

**B. APPLICATIONS:**

1. Hydrogen like atoms in uniform magnetic fields.

2. Approximation methods: Time independent non-degenerate perturbation
theory. Example laser theory.

3. Stark effect on a simple harmonic oscillator.

4. Degenerate perturbation theory.

5. Stark effect on hydrogen.

**C. QUANTUM OPTICS & QED **

Throughout the course I will give special seminars concerning recent
experiments in quantum optics (the study of the
interaction of light with matter) which prove the fundamental results
of quantum theory. QO is the instructors area of speciality. I would
recommend "The quantum theory of light" by R. Loudon, Clarendon Press
Oxford (1983) and "Introduction to QED..", by P. W. Milonni (1994)
Academic Press. These should be available in the library. Handouts
will be given out and copies of papers will also be used.

A few topics to be covered are; Aharanov Bohm effect, Casimir effect,
photon interference, atomic interference and quantum eraser type
experiments, Young's slits using atoms and electrons. Why spontaneous
emission? and more!! Depending on how much basic material (*) you
wish to cover, I will spend more time on the fun experimental stuff.