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DY: Fachverband Dynamik und Statistische Physik

DY 8: Superfluidity and Bose Einstein Condensation

DY 8.1: Talk

Monday, February 25, 2008, 17:00–17:15, MA 001

Systematic Semiclassical Approximations for Harmonically Trapped Ideal Bose Gases — •Ben Klünder, Axel Pelster, and Robert Graham — Fachbereich Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany

Based on the field-theoretic effective action approach, we systematically generalize the usual semiclassical approximation in such a way that its range of applicability is essentially extended. With this we can calculate analytically thermodynamic properties of harmonically confined non-interacting Bose gases in the grand-canonical ensemble also for small particle numbers. Furthermore, it becomes now possible to determine the critical temperature as well as the temperature dependence of heat capacity and condensate fraction in low-dimensional traps, where the standard semiclassical approximation is not applicable.