The model of interacting spatial permutations and its relation to the Bose gas
Statistical Mechanics
2009-08-18 v3 Mathematical Physics
math.MP
Abstract
The model of spatial permutations is related to the Feynman-Kac representation of the Bose gas. The transition to infinite cycles corresponds to Bose-Einstein condensation. We review the general setting and some results, and we derive a multi-body interaction between permutation jumps, that is due to the original interactions between quantum particles.
Keywords
Cite
@article{arxiv.0712.2443,
title = {The model of interacting spatial permutations and its relation to the Bose gas},
author = {Daniel Ueltschi},
journal= {arXiv preprint arXiv:0712.2443},
year = {2009}
}
Comments
14 pages