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Bose-Einstein condensation in arbitrarily shaped cavities

Lookup NU author(s): Professor David Toms

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Abstract

We discuss the phenomenon of Bose-Einstein condensation of an ideal nonrelativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical temperature of the system, is considered. We use two main methods that are shown to be equivalent. The first deals with the partition function as a sum over energy levels and uses a Mellin-Barnes integral representation to extract an asymptotic formula. The second method converts the sum over the energy levels to an integral with a suitable density of states factor obtained from spectral analysis. The application to some simple cavities is discussed. [S1063-651X(99)03101-3].


Publication metadata

Author(s): Toms DJ; Kirsten K

Publication type: Article

Publication status: Published

Journal: Physical Review E

Year: 1999

Volume: 59

Issue: 1

Pages: 158-167

Print publication date: 01/01/1999

ISSN (print): 1063-651X

ISSN (electronic): 1550-2376

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevE.59.158

DOI: 10.1103/PhysRevE.59.158


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