Billiard Ball Hamiltonian

  • Thread starter LukeD
  • Start date
  • #1
355
3

Main Question or Discussion Point

In my first Physics class (in high school by the way, a huge shame that i had so little before college), the first thing we talked about was the physics of elastically colliding bodies that have no interaction between them at all.

However, I've only ever analyzed such systems with force diagrams, never with Hamiltonians and Lagrangians. And I've certainly never talked about the quantum mechanical systems. I imagine that I could try taking the limit of a coulomb repulsion potential (of a system of like charged particles as the charge goes to 0 maybe?)

So how about it? How do I handle this system Quantum Mechanically? I suspect that fermions do this automatically (do they?), and bosons of course do not (which is a nice thing about them). But how do I do this in the case of distinguishable particles?
 

Answers and Replies

  • #2
DrClaude
Mentor
7,281
3,442
This is not something that can be explained simply in a thread.

The best answer can be found by cracking open a textbook that covers quantum scattering theory. The textbook by Sakurai is a good start.
 

Related Threads on Billiard Ball Hamiltonian

  • Last Post
Replies
1
Views
2K
Replies
1
Views
697
  • Last Post
Replies
3
Views
572
  • Last Post
Replies
6
Views
5K
  • Last Post
Replies
1
Views
673
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
923
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
6K
Top