English

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

Condensed Matter 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9902027,
  title  = {Initial-Value Problem for Inhomogeneous Condensate: Gaussian Approximation and Beyond},
  author = {Chi-Yong Lin and A. F. R. de Toledo Piza},
  journal= {arXiv preprint arXiv:cond-mat/9902027},
  year   = {2007}
}

Comments

24 pages, Latex file