Search Rutgers   Search Physics Physics 618 Spring 2017 Lecture Notes   You will need an Adobe Acrobat Reader to view or print some of these files, the ones with .pdf extensions. If you don't have one, it is available for free: Lecture Notes Here are my notes for the lectures. The material on finite groups comes alternatively from Joshi, Tinkham or Jones. The material on Lie graups comes from Georgi and other sources. My lecture notes are posted here, along with beamer (aka powerpoint) slides. Latexed Lectures are available in full format for easier on screen reading. They are also given reduced to two pages/side for more efficient printing. The dates of last significant modification and of minor (typo) fixes are given, so you can update your files if necessary.

Links: Home page of Course GeneralCourse Info Syllabus Homeworks Announcements Book Refs Lecture Notes Supplementary    Notes Exams Old Announcements Jump to: Rutgers University Main Site Physics Department

Note material below the dividing line is left over from 2016, and may be changed.

Chapter	Name	for viewing	for printing	Lectures	Last Big Mod	Last small Mod
TOC	Cover, Table of Contents	Pages 1-5	Pages 1-6		1/13/15	1/28/16
1	Groups	Pages 7-26	Pages 7-26	Lects 1-2	1/13/15	1/20/17
2	Representations	Pages 27-48	Pages 27-48	Lects 3-6	2/5/15	1/28/16
3	Infinite Groups	Pages 49-66	Pages 49-66	Lects 6-8	1/11/12	2/7/17
4	SU(2)	Pages 67-83	Pages 67-83	Lects 8-10	2/11/16	2/16/17
5	Semisimple Compact Lie Groups	Pages 85-90	Pages 85-90	Lects 10-11	1/11/12	2/16/17
6	SU(3)	Pages 91-93	Pages 91-94	Lects 11	1/11/12	2/17/16
7	Simple Roots	Pages 95-98	Pages 95-98	Lects 12	3/2/15	2/23/16
8	Dynkin Diagrams	Pages 99-104	Pages 99-104	Lect 12-13	1/11/12	2/24/16
9	Finding the Other Roots	Pages 105-107	Pages 105-108	Lects 13	2/28/17	2/28/17
10	Reps of Lie Groups	Pages 109-119	Pages 109-120	Lects 13-14	1/11/12	3/10/17
11	Sk and Tensor Reps	Pages 121-132	Pages 121-132	Lects 15-17	1/11/12	3/24/17
12	Tensor Products of Reps	Pages 133-136	Pages 133-136	Lect 18	1/11/12	3/28/17
12 1/2	Field Theory	Pages 1-8	Pages 1-8	Lect 18	3/23/16
13	Local Symmetry	Pages 137-149	Pages 137-150	Lect 19-20	1/11/12	3/28/16
14	Hamiltonian Formulation	Pages 151-162	Pages 151-162	Lects 20-21	4/9/15	4/13/17
15	Block waves and SSB	Pages 163-170	Pages 163-170	Lect 21-22	4/17/15	4/13/17
Below this line is left over from 2016 and may change
16	SSB and Higgs	Pages 171-183	Pages 171-183	Lect 22	4/6/16	4/13/17
17	Poincare and SUSY	Pages 185-201	Pages 185-201	Lects 24-26	4/18/15	4/27/15
18	Conformal Invariance	Pages 203-212	Pages 203-212	Lect 27	1/17/12	4/18/15
	Index	Pages 213-214	Pages 213-214		1/17/12	4/18/15

Intro/Summaries

Supplementary Notes

Here are some supplementary notes which may or may not be relevant --- I have placed them here brought from other courses. Some of these may be relevant, but most probably not.

There is a much larger set on the Supplementary Notes page.

• Notes on using indices correctly. view, print, This seems trivial, but I have seen many students have difficulties.
• Notes on totally antisymmetric tensors, or Levi-Civita symbols, ε_μνρ..., in 3-D Euclidean space: (view), (print), and in higher dimensional Euclidean or Minkowski space: (view), (print), including their use with matrices and determinants. The Levi-Civita symbol is also essential in curved spaces, but that is for another course.
• Definitions in Abstract Algebra, Ring, ring with unity, division ring, (mathematician's) field, vector space, algebra.
• On differential forms. If you have not seen differential forms before, you might want to look at my notes from 507, pages 153-4 on 1-forms and pp 167-175 on higher k-forms, or Zapolsky's notes. They are discussed in advanced calculus texts, e.g. Buck, "Advanced Calculus".