Initial-Value Problem for Inhomogeneous Condensate: Gaussian Approximation and Beyond

Details Initial-Value Problem for Inhomogeneous Condensate: Gaussian Approximation and Beyond Initial-Value Problem for Inhomogeneous Condensate: Gaussian Approximation and Beyond

1999-02-02

arxiv.org/abs/cond-mat/9902027v1

Physics

Condensed Matter

24 pages, Latex file

Scientific paper

Using many-body theory we develop a set of formally exact kinetic equations for inhomogeneous condensate and one-body observables. The method is illutrated for phi^4 field theory in 1+1 dimensions. These equations, when computed with the help of time-dependent projection technique, lead to a systematic mean-field expansion. The lowest and the higher order terms correspond to, respectively, the gaussian approximation and the dynamical correlation effect.

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