Bose-Einstein Condensation of Confined and Non-interacting Bose Particles by the Integral Representation of Bose Functions

Details Bose-Einstein Condensation of Confined and Non-interacting Bose Particles by the Integral Representation of Bose Functions Bose-Einstein Condensation of Confined and Non-interacting Bose Particles by the Integral Representation of Bose Functions

2006-10-09

arxiv.org/abs/cond-mat/0610221v2

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures

Scientific paper

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was clarified. Some next-order terms in the thermodynamic expansions were obtained. We plotted the chemical potential, the mean energy, and the specific heat and found most of these properties obtained by using the integral representation were almost identical with those of the series representation of Bose functions.

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