Gaussian Time-Dependent Variational Principle for Bosons I - Uniform Case
Abstract
We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational parameters. In particular we have considered small oscillations about equilibrium. We obtain generalized RPA equations that can be understood as interacting quasi-bosons, usually mentioned in the literature as having a gap. The result of this interaction provides us with scattering properties of these quasi-bosons including possible bound-states, which can include zero modes. In fact the zero mode bound state can be interpreted as a new quasi-boson with a gapless dispersion relation. Utilizing these results we discuss a straightforward scheme for introducing temperature.
Keywords
Cite
@article{arxiv.cond-mat/9707315,
title = {Gaussian Time-Dependent Variational Principle for Bosons I - Uniform Case},
author = {Arthur K. Kerman and Paolo Tommasini},
journal= {arXiv preprint arXiv:cond-mat/9707315},
year = {2016}
}
Comments
28 pages, 1 figure to appear in Annals of Physics