Eur. Phys. J. D 50, 125-132 (2008)
https://doi.org/10.1140/epjd/e2008-00203-3

Static properties of trapped bose gases at finite temperature: Thomas-Fermi limit

Laboratory for Theoretical Physics and Material Physics, Faculty of Sciences and Engineering Sciences, Hassiba Benbouali University of Chlef, B.P. 151, 02000 Chlef, Algeria

Corresponding author: ^a benarous_med@yahoo.fr

Received: 12 February 2008
Revised: 27 June 2008
Published online: 24 October 2008

Abstract

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit for the repulsive case. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.