## PHY 6645 - Fall 2013 - QUANTUM MECHANICS I

### Instructor

**Pierre Sikivie**

Office: NPB 2063

email: sikivie@phys.ufl.edu

tel: 352.392.1923

### Class times:

MWF, 10:40 - 11:30am, in NPB 1101

### Office hours:

MW, 11:45am - 12:35pm, in NPB 2063

Th, 1:00 - 1:50pm, in NPB 2063

### Textbook:

*(2d edition) by R. Shankar, Plenum 1994. We will cover chapters 1, 3-13.*

**Principles of Quantum Mechanics**There are many other useful textbooks on quantum mechanics. Here is a partial list:

- P.A.M. Dirac `The Principles of Quantum Mechanics', 4th Edition, Oxford U. Press 1958.

- L. Landau and E. Lifchitz `Quantum Mechanics', Pergamon Press.

- L.I. Schiff `Quantum Mechanics', 3d Edition, McGraw-Hill 1968.

- E. Merzbacher `Quantum Mechanics', 2d Edition, Wiley 1970.

- J.J. Sakurai `Modern Quantum Mechanics', Addison-Wesley 1985.

### Course Outline:

- Experimental foundations

- Mathematical tools

- Postulates

- The Schrodinger equation

- The classical limit

- The harmonic oscillator

- The path integral formulation

- Uncertainty relations

- Identical particles

- Symmetries and conservation laws

- The rotation group and angular momentum

- The hydrogen atom

### Homework:

There will be one problem set per week, due on Fridays.

**Homework #1**

**Homework #2**due September 6: 1.4.1, 1.6.2, 1.8.3, 1.8.5, 1.8.8, 1.8.10

**Homework #3**due September 13: 1.9.1, 1.9.2, 1.9.3, 1.10.1, 1.10.2, 1.10.4

**Homework #4**

**Homework #5**due September 27: 4.2.3, 5.1.1, 5.1.2, 5.1.3, 5.2.1, 5.2.2

**Homework #6**due October 4: 5.2.3, 5.2.4, 5.2.6

**Homework #7**due October 11: 5.3.1, 5.3.2, 5.3.3, 5.3.4, 5.4.2, 5.4.3

**Homework #8**

**Homework #9**due October 25: 7.4.2, 7.4.3, 7.4.4, 7.4.5, 7.4.6, 7.4.9

**Homework #10**due November 1: 7.4.10, 7.5.4, 8.6.1

**Homework #11**due November 12: 8.6.2, 8.6.3, 10.1.2, 10.2.3, 10.3.2, 10.3.3

**Homework #12**due November 15: 11.4.3, 11.4.4, 12.3.3, 12.3.6, 12.3.7

**Homework #13**due November 25: 12.3.8, 12.4.4, 12.5.1, 12.5.3, 12.5.5

**Homework #14**due December 4: 12.5.6, 12.5.7, 12.5.9, 12.5.10, 12.5.13

### HOMEWORK SOLUTIONS

**Homework 14 Solutions**

### Quizzes:

There will be ten quizzes at unannounced times.

### Grading:

The final grade will be based on homework (20%), quizzes (5%), a mid-term test (25%) on October 7, and the final exam (50%) on December 9.