Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

146 submissions , 123 unreviewed
3,961 questions , 1,408 unanswered
4,889 answers , 20,762 comments
1,470 users with positive rep
507 active unimported users
More ...

Books for linear operator and spectral theory

+ 5 like - 0 dislike
103 views

I need some books to learn the basis of linear operator theory and the spectral theory with, if it's possible, physics application to quantum mechanics. Can somebody help me?

This post imported from StackExchange Physics at 2014-05-04 14:07 (UCT), posted by SE-user Andrea Amoretti
asked Nov 11, 2010 in Resources and References by Andrea Amoretti (50 points) [ no revision ]
retagged May 4, 2014

3 Answers

+ 6 like - 0 dislike

There are literally hundreds of introductory books on linear operators and their use in quantum mechanics. Finding the right one for you can be tricky. Let me recommend two that have been successful enough to be republished as Dover paperbacks. They're both by Thomas F. Jordan and are specifically oriented towards quantum mechanics applications. The most elementary one (perhaps too elementary) is,

"Quantum Mechanics in Simple Matrix Form" (1986) Dover (2005) ISBN 0-486-44530-5

The other one, significantly more sophisticated, but still very accessible is,

"Linear Operators for Quantum Mechanics" (1997) Dover (2006) ISBN 0-486-45329-4

This post imported from StackExchange Physics at 2014-05-04 14:07 (UCT), posted by SE-user Gordon N. Fleming
answered Nov 11, 2010 by Gordon N. Fleming (0 points) [ no revision ]
+ 5 like - 0 dislike

I think a good, and classic, reference for your case is the following,

The very last chapter of Kreyszig deals with Quantum Mechanics.

And, once you've learned how to "translate" the language of Functional Analysis into that of Quantum Mechanics, you can go to more advanced texts in specific topics.

This post imported from StackExchange Physics at 2014-05-04 14:07 (UCT), posted by SE-user Daniel
answered Nov 11, 2010 by Daniel (685 points) [ no revision ]
Thank you for the rapid answer. Tomorrow I'll search this book and I'll try it

This post imported from StackExchange Physics at 2014-05-04 14:07 (UCT), posted by SE-user Andrea Amoretti
+ 4 like - 0 dislike

For a fast and useful introduction, you can read the second chapter of the book

"Quantum Mechanics, Vol. I", by Claude Cohen-Tannoudji et al.

You will find here almost all you need to study quantum physics.

For a deeper treatment, you can try,

"Functional Analysis. Volume I.", by Reed & Simon. This is the first volume of the collection Methods of Modern Mathematical Physics.

This post imported from StackExchange Physics at 2014-05-04 14:07 (UCT), posted by SE-user asanlua
answered Nov 12, 2010 by asanlua (40 points) [ no revision ]

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
$\varnothing\hbar$ysicsOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...