PHY 745/785 Group Theory

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:758-5510Office:300 OPL e-mail:natalie@wfu.edu
Phone:758-4994Office:306 OPL e-mail:ecarlson@wfu.edu


General Information

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%).

Course Schedule

(tentative)
Date
Reading
Topic
Assign.
01-14 (Wed) Chap. 1,2Group definitions #1
01-16 (Fri) Chap. 2Group multiplication tables #1
01-19 (Mon)No ClassMLK Holiday
01-21 (Wed) Chap. 3Representation Theory #2
01-23 (Fri) Chap. 3Great Orthogonality Theorem #3
01-26 (Mon) Chap. 3Great Orthogonality Theorem #4
01-28 (Wed) Chap. 3Character Tables #5
01-30 (Fri) Chap. 3Physics connections to representations and characters #6
02-02 (Mon) Chap. 3 & 4Examples of representations related to Hamiltonians #7
02-04 (Wed) Chap. 4Some point groups #8
02-06 (Fri) Chap. 4Compatability relations #9
02-09 (Mon) Chap. 4Compatability relations #10
02-11 (Wed) Chap. 4Double groups #11
02-13 (Fri) Chap. 4Lattice symmetries #12
02-16 (Mon) Chap. 4Space 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 classSnow holiday Exam
03-04 (Wed) Chap. 7 Molecular vibrations and selection rules Exam
03-06 (Fri) Chap. 7 Molecular vibrations and selection rules Exam
After Spring Break, the Group Theory course will resume under the direction of Professor Carlson -- http://www.wfu.edu/~ecarlson/groups/ [an error occurred while processing this directive]
Last modfied: Tuesday, 03-Mar-2009 18:59:03 EST