Good books on the group theory of quantum mechanics

  • #1
aabottom
49
9
Hello
I'm looking for good books on the group theory of quantum mechanics. I have a BS in Physics, MS in Electrical Engineering and decades of work experience in building lasers, and R&D in laser systems, optics & infrared sensing systems.

My main goal is to study & understand quantum electrodynamics.

Thanks
 

Answers and Replies

  • #3
DrDu
Science Advisor
6,256
906
I like S. Sternberg's "Group Theory and Physics". In contrast to the authors of most other books on group theory as applied to physics, he isn't a physicist but a mathematician. This has the effect that the presentation of the methods is much more modern and up to date than what can be found in other books. For example, it is the only book where I found a comprehensible explanation of the uses of Young diagrams in physics.
 
  • Like
Likes dextercioby
  • #4
vanhees71
Science Advisor
Insights Author
Gold Member
2021 Award
21,594
12,414
A good treatment of the Galilei group in quantum theory can be found in Ballentine, Quantum Mechanics and Weinberg, Lectures on Quantum Mechanis. For the relativistic case I recommend Weinberg, The quantum theory of fields.

A more introductory book, not restricted to quantum theory but more general about (Poincare) symmetry in physics is Relativity, Groups, Particles.
 
  • #5
aabottom
49
9
Thanks folks, I'll look into these suggestions.

PS: I have Weinberg, The quantum theory of fields Volume 1. I've read the first 80 pages three times- and then I'm lost.
 

Suggested for: Good books on the group theory of quantum mechanics

Replies
36
Views
1K
Replies
15
Views
568
Replies
3
Views
436
Replies
4
Views
397
Replies
18
Views
805
Replies
2
Views
354
Replies
22
Views
657
Replies
11
Views
518
  • Last Post
Replies
8
Views
494
  • Last Post
Replies
10
Views
219
Top