Bose-Einstein condensation under external conditions

Details Bose-Einstein condensation under external conditions Bose-Einstein condensation under external conditions

1998-04-20

arxiv.org/abs/cond-mat/9804218v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, LaTeX, to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(98)00264-3

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.

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