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- Title
Two-particle scattering in a periodic medium.
- Authors
Chuburin, Yu.
- Abstract
We consider a two-particle Schrödinger difference operator with a periodic potential perturbed by an exponentially decaying interaction potential for particles on a one-dimensional lattice. We obtain rigorous results for the two-particle scattering problem in the case of a small interaction and low velocities. Here, as in other quasi-one-dimensional models, small interactions can significantly affect the scattering pattern. In particular, we find the probability that the velocities of two particles in a periodic medium ( e.g., they can be ultracold atoms in a one-dimensional optical lattice) change their signs during a collision. This probability increases as the relative velocity decreases and also as the absolute value of the matrix element between single-particle unperturbed Bloch states increases.
- Subjects
PARTICLE scattering functions; VELOCITY; OPTICAL lattices; ULTRACOLD molecules; IMPACT (Mechanics)
- Publication
Theoretical & Mathematical Physics, 2017, Vol 191, Issue 2, p738
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577917050130