Which textbook to learn scattering theory from

Click For Summary

Discussion Overview

The discussion revolves around recommendations for textbooks on scattering theory in quantum mechanics. Participants share their experiences and preferences regarding various texts, including Sakurai, Merzbacher, Landau, and others, focusing on their suitability for learning the subject.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses interest in learning scattering theory and seeks advice on choosing between Sakurai, Merzbacher, and Landau.
  • Another participant suggests Taylor's book on non-relativistic scattering theory as a foundational resource.
  • A participant reflects on their experience with Landau and Lifgarbagez's book, noting its depth and complexity, which may be challenging for beginners.
  • It is mentioned that Sakurai might be more accessible for initial readings compared to Landau's text.
  • A recommendation is made for N. F. Mott and H. S. W. Massey's "Theory of Atomic Collisions" as a helpful resource.
  • One participant discusses the necessity of rigged Hilbert space techniques for serious scattering theory and mentions that the subject is not fully completed in literature.
  • Roger G. Newton's "Scattering Theory of Waves and Particles" is highlighted as a careful and clear resource.
  • A suggestion is made to consider Weinberg's QFT, particularly his chapter on scattering, emphasizing the importance of understanding contour integration, Green functions, and spherical harmonics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on which textbook is the best for learning scattering theory, as multiple competing views and recommendations are presented.

Contextual Notes

Some participants note that the complexity of certain texts may depend on the reader's mathematical background and familiarity with advanced concepts.

alemsalem
Messages
173
Reaction score
5
I'm trying to learn scattering theory in quantum mechanics. and I'm trying to decide between Sakurai, Merzbacher and Landau.
I heard good things about Landau's books but I never looked at them.
any advice?
 
Physics news on Phys.org
I don't know your suggestions, but if you've got the time, I would recommend Taylor's book about non-relativistic scattering theory as a foundation.
 
I did not study scattering theory much, but here is what I think:

It is always good to confront more than one good book. The books you mentioned are standard well-known textbooks, so every one is definitely worth looking into.

The book on quantum theory by Landau and Lifgarbagez is a very good one, particularly because of the very interesting introductory chapters where they explain also subtler points concerning Schroedinger equation and its solutions, density matrix etc.

However, when I came to scattering theory, L&L was too hard for me, I tried for few days but I did not get through. It requires quite a lot of math and is quite terse for a beginner. Sakurai may be better for first reading.

Also, this book may be of help:

N. F. Mott, H. S. W. Massey, Theory of Atomic Collisions, Oxford University Press, 1987
 
Serious scattering theory by definition requires rigged Hilbert space techniques and has, to my knowledge, not fully been completed, though chapters have been developed by Arno Böhm's pupils.

The complex calculus without worrying about topology should be the standard requirement to go to Merzbacher's or Sakurai's textbook.
 
Very careful and clear book:

Scattering Theory of Waves and Particles
Roger G. Newton

Courier Dover Publications, 1982 - 745 pages
 
Look at weinberg QFT , his chapter on scattering is clear and he treats the general situation in a concise manner , I think that you need to understand contour integration ,green functions and spherical harmonics to properly understand scattering . Also , L&L is very good
 
  • Like
Likes   Reactions: gagan45arora

Similar threads

  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
5
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 47 ·
2
Replies
47
Views
7K
  • · Replies 14 ·
Replies
14
Views
4K