How to derive the Breit equation (Pauli approximation) in position space?

Click For Summary

Discussion Overview

The discussion revolves around deriving the Breit equation, specifically the Pauli approximation, in position space. Participants reference a specific section of H. A. Bethe's book on quantum mechanics, exploring the transition from momentum space to position space in this context.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant inquires about the method to derive the Breit equation directly in position space, referencing Bethe's book.
  • Another participant suggests that the Fourier transform approach discussed in the book may be relevant to the inquiry.
  • There is a request for clarification or sharing of notes related to the Fourier transform approach mentioned.

Areas of Agreement / Disagreement

Participants appear to be exploring the same topic but have not reached a consensus on the method or details of the derivation in position space.

Contextual Notes

Some participants express uncertainty regarding their notes and the specific content of the book, indicating potential limitations in understanding the material discussed.

cddong
Messages
3
Reaction score
0
I am reading the H. A. Bethe's book ---quantum mechanics of one and two electron atoms.
In section 39, it is shown how to go from general form to pauli approximation form through momentum space.
who knows how to go directly in position space?
 
Physics news on Phys.org
ding
 
Do you mean the Fourier transform approach in Section 39 β on page 179? I have some cryptic notes (in my handwriting) in the margin that I cannot decipher anymore.

Bob S
 
Bob S said:
Do you mean the Fourier transform approach in Section 39 β on page 179? I have some cryptic notes (in my handwriting) in the margin that I cannot decipher anymore.

Bob S

Yes, that is what I am reading.

~~~sounds cool~~can you by some means share it?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K