Correlation functions for a Bose-Einstein condensate in the Bogoliubov approximation

Physics – Condensed Matter

Scientific paper

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9 pages, ps format. This article was published in EPJD vol. 14(1) (2001), pp.105-110

Scientific paper

10.1007/s100530170241

In this article we introduce a differential equation for the first order correlation function $G^{(1)}$ of a Bose-Einstein condensate at T=0. The Bogoliubov approximation is used. Our approach points out directly the dependence on the physical parameters. Furthermore it suggests a numerical method to calculate $G^{(1)}$ without solving an eigenvector problem. The $G^{(1)}$ equation is generalized to the case of non zero temperature.

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