GROUP THEORY

PHYS 7143 -
spring 2016

Tu,Th 12:05-1:25 Howey S204
birdtracks.eu/~predrag/courses/PHYS-7143-16

January 12

1. Linear algebra: vectors, matrices, eigenvalues

Feel free -at any time- to suggest topics that you would like to see covered in the course.

Lecture notes and problem set #1 (due Tuesday, January 19)

January 14

2. Projection operators

you got a new idea?

January 18

MLK holiday

January 19 - Boris Gutkin

3. Don’t know group theory

Lecture notes and problem set #2 (due Thursday, January 28)

January 21

4. Finite groups - definitions

January 26

5. Group representations

Lecture notes and problem set #3 (due Tuesday, February 2)

January 28

6. Wonderful Orthogonality Theorem

Our competition: MIT 18.085 Computational Science and Engineering I

February 2 - Boris Gutkin

7. Hard work builds character

Lecture notes and problem set #4 (due Tuesday, February 9)

February 4 - Boris Gutkin

8. Character tables

Optional fun reading: Penrose and no need to learn all these "Greek" words

February 9 - Boris Gutkin

9. Irreps decomposition

Lecture notes and problem set #5 (due Thursday, February 18)

February 11

10. It takes class

February 14

Valentine's day

A fun read on group theory we definitely will not cover: Marcus du Sautoy Finding Moonshine: A Mathematician's Journey Through Symmetry

February 16

11. Fundamental domain

Lecture notes and problem set #6 (due Tuesday, February 23)

February 18 - Boris Gutkin

12. Problem solving session

February 23

13. Lorenz to Van Gogh

Lecture notes and problem set #7 (due Tuesday, March 1)

February 25 - Boris Gutkin

14. QM applications

March 1 - Boris Gutkin

15. Space groups

Lecture notes and problem set #8 (due Tuesday, March 8)

March 3 - Boris Gutkin

16. Graphene

March 8

17. Continuous groups

Lecture notes and problem set #9 (due Thursday, March 17)

March 10

18. Lie groups. Matrix representations

March 15

19. Lie groups, algebras

Lecture notes #10 (not ready) (no problem set:)

March 17

20. SO(2) and O(2) symmetry reduction

March 22

Spring Break

March 24

Spring Break

March 29

21. SU(2) and SO(3)

Lecture notes and problem set #11 (due Thursday, April 7)

March 31 - Boris Gutkin

22. Spinors, Clebsches

April 5 - Boris Gutkin

23. Clebsch-Gordan coefficients. Wigner-Eckart theorem

Lecture notes and problem set #12 (due Tuesday, April 12)

April 7 - Boris Gutkin

24. Representations of simple algebras

April 12 - Boris Gutkin

25. Cartan construction of SU(3) irreps

Lecture notes and problem set #13 (due Thursday, April 21)

April 14

26. Flavor SU(3). Gell-Mann - Okubo formula

April 19

27. Birdtracks

Lecture notes and problem set #14 (due Thursday, April 28)

April 21 - Boris Gutkin

28. Many particle systems. Young tableaux

April 26

29. Birdtracks

Lecture notes and problem set #15 (due Tuesday, May 3)

April 28

Reading period

Fancy footwork

Course Instructor Opinion Survey

Please fill out the online Course Survey. This is your opportunity to provide feedback regarding the contents of the course, the style and quality of the presentation, or any other subject related to the course. Tell us what you liked and what you did not like. Your input is very valuable and will benefit students taking this course in subsequent years.

May 3

Instead of the final exam 2:50pm - 5:40pm:

deliver problem set #15 to Predrag

May 7

End of term

May 9

Grades due at noon