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In this article we introduce a differential equation for the first ordercorrelation function $G^{(1)}$ of a Bose-Einstein condensate at T=0. TheBogoliubov approximation is used. Our approach points out directly thedependence on the physical parameters. Furthermore it suggests a numericalmethod to calculate $G^{(1)}$ without solving an eigenvector problem. The$G^{(1)}$ equation is generalized to the case of non zero temperature.Comment: 9 pages, ps format. This article was published in EPJD vol. 14(1)  (2001), pp.105-11

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

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