Bose-Einstein condensation under external conditions
Statistical Mechanics
2009-10-31 v1
Abstract
We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the heat-kernel coefficients of the associated Schr\"odinger equation. The general approach is applied to situations where the gas is confined by arbitrary potentials or by boxes of arbitrary shape.
Cite
@article{arxiv.cond-mat/9804218,
title = {Bose-Einstein condensation under external conditions},
author = {Klaus Kirsten and David J. Toms},
journal= {arXiv preprint arXiv:cond-mat/9804218},
year = {2009}
}
Comments
11 pages, LaTeX, to appear in Phys. Lett. A