From multiple integrals to Fredholm determinants
Mathematical Physics
2009-03-20 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We consider a multiple integral representation for the finite temperature density-density correlation functions of the one-dimensional Bose gas with delta function interaction in the limits of infinite and vanishing repulsion. In the former case a known Fredholm determinant is recovered. In the latter case a similar expression appears with permanents replacing determinants.
Cite
@article{arxiv.0710.1814,
title = {From multiple integrals to Fredholm determinants},
author = {Alexander Seel and Frank Göhmann and Andreas Klümper},
journal= {arXiv preprint arXiv:0710.1814},
year = {2009}
}
Comments
11 pages, section on the free Boson limit added