Europhys. Lett.
Volume 73, Number 1, January 2006
Page(s) 15 - 20
Section General
Published online 23 November 2005
Europhys. Lett., 73 (1), pp. 15-20 (2006)
DOI: 10.1209/epl/i2005-10357-x

The Casimir effect for the Bose-gas in slabs

P. A. Martin1 and V. A. Zagrebnov2

1  Institute of Theoretical Physics, Swiss Federal Institute of Technology Lausanne EPFL CH-1015 Lausanne, Switzerland
2  Université de la Méditerranée (Aix-Marseille II), Faculté des Sciences de Luminy and Centre de Physique Théorique, Luminy - Case 907, 13288 Marseille Cedex 9, France

received 11 July 2005; accepted in final form 27 October 2005
published online 23 November 2005

We study the Casimir effect for the perfect Bose-gas in the slab geometry for various boundary conditions. We show that the grand-canonical potential per unit area at the bulk critical chemical potential $\mu=0$ has the standard asymptotic form with universal Casimir terms.

05.30.-d - Quantum statistical mechanics.
05.30.Jp - Boson systems.
03.75.Hh - Static properties of condensates; thermodynamical, statistical and structural properties.

© EDP Sciences 2005