Transport equations including many-particle correlations for an arbitrary quantum system. General formalism
Abstract
We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent external fields. Using a cluster expansion of the r-particle density matrices the infinite hierarchy of equations of motion for many-particle expectation values is transposed into an equivalent one in terms of correlations. This new hierarchy permits a systematic breaking of the hierarchy at any order. Diagrams are derived for these transport equations. In a second paper the method is tested for exactly soluble electron-phonon models in one dimension.
Keywords
Cite
@article{arxiv.cond-mat/9610128,
title = {Transport equations including many-particle correlations for an arbitrary quantum system. General formalism},
author = {J. Fricke},
journal= {arXiv preprint arXiv:cond-mat/9610128},
year = {2009}
}
Comments
19 pages, 14 Postscript figures, uses RevTeX, to be published in: Annals of Physics (N.Y.)