Bose-Einstein condensation under external conditions

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 Schrödinger equation. The general approach is applied to situations where the gas is confined by arbitrary potentials or by boxes of arbitrary shape.

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

References in corpus (3)

• Maxwell's Demon at work: Two types of Bose condensate fluctuations in power-law traps
• Bose-Einstein condensation in arbitrarily shaped cavities
• Density and Pair Correlation Function of Confined Identical Particles: the Bose-Einstein Case

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