Many Body Physics

Mark Jarrell

rm. 202 Coates Hall (T, Th 9:00-10:20)

E-mail: jarrellphysics at gmail.com

 

This page contains links for an advanced graduate course in  Many Body physics. The lectures will be held room 202 Coates Hall from 9:00-10:20 am on Tuesdays and Thursdays (see the LSU calendar for important dates). They will also be broadcast using polycom with recordings linked below. For a more complete description of the course, please see the course syllabus. This course is based on a book, available by request  on the web, by Piers Coleman (used with permission), but you will also find the references below to be useful, especially Mahan and the Dover books, AGD and Fetter and Walecka. Please address questions to me, but not to Piers. Part of the course will cover non-equilibrium (Keldysh) field theory. The notes for the final few weeks of the course, along with many useful references are linked here.

Please work with your classmates on the homework and assignments.  Here is the class list thus far.

The course will also be offered at several locations:

Notes from this and previous years are available in different formats  here.

Class recordings

Tues 21 Jan 14: http://76.165.14.133/tcs/?id=EE8713B2-E2F4-4796-A01F-8CC9B6CA3D5B

Thurs 23 Jan 14: http://76.165.14.133/tcs/?id=30486F39-6C2B-46DE-9897-028EA7AC8E2A

Tues 4 Feb 14: http://76.165.14.133/tcs/?id=DC70CD70-0D33-4FE0-B5D7-148B25278336

Thurs 6 Feb 14: http://76.165.14.133/tcs/?id=B608A16E-9938-4681-9E39-E4A5D2C7D015 

Tues 11 Feb 14: http://76.165.14.133/tcs/?id=DF2D9D36-6542-4FA7-B3A7-030671CFC2D4

Thurs 13 Feb 14: http://76.165.14.133/tcs/?id=3B00B8F0-54E2-4F6A-BF64-23174DE1A992

Tues 18 Feb 14: http://76.165.14.133/tcs/?id=2FA12509-D51E-476D-A58F-8619FFE3A927

Thurs 20 Feb 14: http://76.165.14.133/tcs/?id=DA00D561-32B3-4BE6-847E-FDF76AB9A552

Tues 25 Feb 14: http://76.165.14.133/tcs/?id=8F5CCBA5-1EBB-433D-8F8B-2B091F935523

Thurs 6 Mar 14: http://76.165.14.133/tcs/?id=E7BCD21B-12F6-4D30-AEC7-FB46B412AA9F

Tues 11 Mar 14 Part1: http://76.165.14.133/tcs/?id=0195875E-5310-459F-8845-85F53B77064A 

Tues 11 Mar 14 Part2: http://76.165.14.133/tcs/?id=62B7657C-C3A1-46F0-A5BA-8D772AEC8B07 

Thurs 13 Mar 14. http://76.165.14.133/tcs/?id=F2B5F6FC-15DF-4BD7-8E1F-5B919BEBA90F

Tues 18 Mar 14. http://76.165.14.133/tcs/?id=65770BBE-B2F8-4609-99B4-03E336A25500

Thurs 20 Mar 14. http://76.165.14.133/tcs/?id=B9C5A2BA-12B9-4E62-A6EC-ED7BA4F73CF4 

Tues 25 Mar 14. http://76.165.14.133/tcs/?id=1829B64D-FD1F-4CD9-90A1-A8FDF27607C4 

Thurs 27 Mar 14. http://76.165.14.133/tcs/?id=67AEBD3E-7F02-4F85-9F94-42FFEE7B6166

Tues 1 Apr 14. http://76.165.14.133/tcs/?id=C4AA9F0C-C358-49B4-A415-5C1512F43739

Thurs 3 Apr 14. http://76.165.14.133/tcs/?id=93144EFF-BA67-4E51-9F16-153D126113CC

Tues 8 Apr 14. http://76.165.14.133/tcs/?id=501544E8-47DF-471A-9D4A-8CDB242B5620

Thurs 10 Apr 14. http://76.165.14.133/tcs/?id=44711C76-2356-48FB-8F95-889494FA5F28

Homework and Grading:

The course will be graded on the homework projects and class participation. I strongly encourage you to work together on all assignments and only hand in one assignment from the group. The class presentations of the projects and homework should rotate between students (so that the same student is not always presenting, etc.).

Useful References (print):

• •“Methods of Quantum Field Theory in Statistical Physics” by Abrikosov, Gorkov and Dzyalozinskii. (Dover Paperback) - Classic text from the sixties, known usually as AGD.  

• •“A guide to Feynman Diagrams in the Many-Body problem” by R. D. Mattuck. (Dover Paperback) A light introduction to the subject. 

• •“Many Particle Physics”, by G. Mahan (Plenum Press), an exhaustive treatise. 

• •“Quantum Theory of Many Particle Systems”, by Fetter and Walecka (McGraw-Hill). A formal exposition. 

• •“Green's Funtions and Condensed Matter”, by Rickayzen. A nice discussion of Green functions, and superconductivity. 

• •“Theory of Superconductivity” , by J.R. Schrieffer. An excellent discussion of the theory of conventional superconductivity. 

• •“Quantum Many-Particle Systems,” by J. Negele and H. Orland, A very nice path integral based discussion. 

Useful References (Web, please send me your finds):

• •”Introduction to Many-Body Physics” by Piers Coleman. - A modern approach to the subject. The best text available, independent of price. 

• •“Many Body Theory” by Chetan Nayak. 

• •An Introduction to Nonequilibrium Many-Body Theory, by Joseph Maciejko 

• •Eduardo Frandkin's notes on Second Quantization. 

• •Quantum Mechanics by Kevin Ingersent (including 2nd quantization) 

Class Projects

The Eliashberg Equations (2002-2003).

This Eliashberg Code was developed by Roman Petrenko .

The Fluctuation Exchange Approximation (2003-2004).

This FLEX CODE, released under the GPL, was developed by Karlis Mikelsons, Thang Ba Hoang, Manori Jayasinghe, Venkateshwar Gangilinka, and Xuandong Zhoa. It is written in C++, to compile it you will need to link in the Numerical Recipes routine fourn.cpp.

The Eliashberg Equations (2004-2005).