Systematic semiclassical expansion for harmonically trapped ideal Bose gases

  • B. Klünder
  • A. PelsterEmail author


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.


03.65.Sq Semiclassical theories and applications 03.75.Hh Static properties of condensates; thermodynamical, statistical, and structural properties 05.70.Ce Thermodynamic functions and equations of state 


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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Arnold Sommerfeld Center for Theoretical Physics, Fakultät für Physik, Ludwig-Maximilians-Universität MünchenMünchenGermany
  2. 2.Universität Duisburg-EssenDuisburgGermany

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