• 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.


PO is now at the Physics Department of Bielefeld University!

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


(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,054 questions , 2,207 unanswered
5,347 answers , 22,720 comments
1,470 users with positive rep
818 active unimported users
More ...

  Is there any method to solve the many particle stationary scattering problem like the one for the single particle problem?

+ 3 like - 1 dislike
The stationary scattering problem by a potential barrier lies in every textbook of quantum mechanics, in which the scattering amplitudes for the single particle wave can be obtained by solving the boundary conditions. I wonder is there any similar method for the many particle wave functions scattered by a potential by solving the boundary conditions? For the many particle scattering problem, the scattering amplitudes should describe the scattering between different many particle states. Let me make this question nontrivial by restricting that the many particle wave function should not be direct product states, or they are entangled.
asked Jan 12, 2015 in Theoretical Physics by pchenweis (40 points) [ no revision ]
If the particles are interacting, this has no answer, because even without a potential the scattering is as complicated as with one. If the particles are only interacting with the potential, the single particle solution generates the many-particle solution through the trivial product states.
For example, these is no interaction, but the state is entangled. What I want to know is wave function method solved by boundary conditions for many particle state.
You just write down the entangled in state, and turn it into the entangeled out state. A basis for the scattering states are all the "trivial" products of the scattering solutions for one particle. If the particles are noninteracting, the solution to the one-body problem automatically solves the many body problem.

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:
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).
Please complete the anti-spam verification

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

Your rights