MWF 12-12:50 PM | OPL 107 | http://www.wfu.edu/~natalie/s09phy745/ |
http://www.wfu.edu/~ecarlson/groups/ |
Instructors:
Natalie Holzwarth
Eric Carlson |
Phone:758-5510 | Office:300 OPL | e-mail:natalie@wfu.edu |
Phone:758-4994 | Office:306 OPL | e-mail:ecarlson@wfu.edu |
This course will cover topics in Group Theory taught in two parts. The first part taught by N. A. W. Holzwarth will cover the basic mathematical concepts, the theory of representations, and examples of point and space groups. The second part taught by E. Carlson will cover Lie groups and examples from particle theory. PHY 745 is a 3 hour course including both half semesters. PHY 785 is a 1.5 hour course including just the first half semester. The text for the course is Group Theory and Quantum Mechanics by Michael Tinkham.
For the first half semester, there will be a homework set for almost every lecture, due at the beginning of the following lecture. According to the honor system, all work submitted for grading purposes should represent the student's own best efforts. This means that students who work together on homework assignments should all contribute roughly equally and independently verify all derivations and results. Homeworks may be turned in 1 lecture past their due date without grade penalty. After that, the homework grade will be reduced by 10% for each succeeding late date. Your grade for the first half of the course will be determined from your homework (50%) and one take-home exam (50%).
Date
|
Reading
|
Topic
|
Assign.
|
01-14 (Wed) | Chap. 1,2 | Group definitions | #1 |
01-16 (Fri) | Chap. 2 | Group multiplication tables | #1 |
01-19 (Mon) | No Class | MLK Holiday | |
01-21 (Wed) | Chap. 3 | Representation Theory | #2 |
01-23 (Fri) | Chap. 3 | Great Orthogonality Theorem | #3 |
01-26 (Mon) | Chap. 3 | Great Orthogonality Theorem | #4 |
01-28 (Wed) | Chap. 3 | Character Tables | #5 |
01-30 (Fri) | Chap. 3 | Physics connections to representations and characters | #6 |
02-02 (Mon) | Chap. 3 & 4 | Examples of representations related to Hamiltonians | #7 |
02-04 (Wed) | Chap. 4 | Some point groups | #8 |
02-06 (Fri) | Chap. 4 | Compatability relations | #9 |
02-09 (Mon) | Chap. 4 | Compatability relations | #10 |
02-11 (Wed) | Chap. 4 | Double groups | #11 |
02-13 (Fri) | Chap. 4 | Lattice symmetries | #12 |
02-16 (Mon) | Chap. 4 | Space groups | #13 |
02-18 (Wed) | Chap. 4 & 8 | Space groups | |
02-20 (Fri) | Chap. 4 & 8 | Space groups | |
02-23 (Mon) | Chap. 4 & 8 | Space groups | #14 |
02-25 (Wed) | Chap. 4 & 8 | Space groups | #15 |
02-27 (Fri) | Chap. 4 & 8 | Representations of vibrational modes | #16 |
03-02 (Mon) | No class | Snow holiday | Exam |
03-04 (Wed) | Chap. 7 | Molecular vibrations and selection rules | Exam |
03-06 (Fri) | Chap. 7 | Molecular vibrations and selection rules | Exam |