Finite Temperature Many-Body Theory with the Lipkin Model
Nuclear Theory
2009-10-22 v1
Abstract
We have compared exact numerical results for the Lipkin model at finite temperature with Hartree-Fock theory and with the results of including in addition the ring diagrams. In the simplest version of the Lipkin model the Hartree-Fock approach shows a ``phase transition" which is absent in the exact results. For more realistic cases, Hartree-Fock provides a very good approximation and a modest improvement is obtained by adding the ring diagrams.
Keywords
Cite
@article{arxiv.nucl-th/9308001,
title = {Finite Temperature Many-Body Theory with the Lipkin Model},
author = {S. Y. Tsay Tzeng and P. J. Ellis and T. T. S. Kuo and E. Osnes},
journal= {arXiv preprint arXiv:nucl-th/9308001},
year = {2009}
}
Comments
17 pages, NUC-MINN-93/16-T (4 figures obtainable by fax from the authors)