Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases

Details Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases

2008-06-18

arxiv.org/abs/0806.2960v2

European Physical Journal B 68, 457-465 (2009)

Physics

Condensed Matter

Statistical Mechanics

Author Information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir

Scientific paper

10.1140/epjb/e2009-00112-9

Using a field-theoretic approach, we systematically generalize the usual semiclassical approximation for a harmonically trapped ideal Bose gas in such a way that its range of applicability is essentially extended. With this we can analytically calculate thermodynamic properties even for small particle numbers. In particular, it now becomes possible to determine the critical temperature as well as the temperature dependence of both heat capacity and condensate fraction in low-dimensional traps, where the standard semiclassical approximation is not even applicable.

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