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

### Homework Assignments

Problem Set #1 (1/15/2009)
Problem Set #2 (1/21/2009)
Problem Set #3 (1/23/2009)
Problem Set #4 (1/26/2009)
Problem Set #5 (1/28/2009)
Problem Set #6 (1/30/2009)
Problem Set #7 (2/02/2009)
Problem Set #8 (2/04/2009)
Problem Set #9 (2/06/2009)
Problem Set #10 (2/09/2009)
Problem Set #11 (2/11/2009)
Problem Set #12 (2/13/2009)
Problem Set #13 (2/16/2009)
Problem Set #14 (2/23/2009)
Problem Set #15 (2/25/2009)
Problem Set #16 (2/27/2009)

## PHY 745 -- Assignment #1

January 14, 2009

Briefly skim Chapter 1 and read Chapter 2 in Tinkham. This problem has 6 parts and covers material from Lectures 1 & 2. It is due Wed. Jan. 21, 2009.

1. Tinkham Problem #2-1.

hw2

January 21, 2009
PHY 745 - Problem Set #2
This homework is due Friday, January 23, 2009.

Continue reading Chapter 3 in Tinkham. For the following matrices , find the similar transformation which creates the related diagonal matrix :

choosing to be unitary whenever appropriate.

1. In this example, represents a real number.

2. In this example, represents a real number.

3. In this example, you may wish to ask Maple to help.

hw3

January 23, 2009
PHY 745 - Problem Set #3
This homework is due Monday, January 26, 2009.

Continue reading Chapter 3 in Tinkham.

1. Consider the following normal" matrix in terms of real constants , , , and .

1. Find the eigenvalues and eigenvectors

2. Show that

3. Find the relationships between the constants for the case that N is Hermitian.
4. Find the relationships between the constants for the case that N is unitary.

hw4

January 22, 2009
PHY 745 - Problem Set #4
This homework is due Wednesday, January 28, 2009. You may wish to use Maple to help you with the matrix multiplication. (Please note that Maple's definitions of operators may differ from ours. In particular, Maple's Adjoint" is different from ours.)

Continue reading Chapter 3 in Tinkham.