Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions
High Energy Physics - Theory
2009-10-30 v3 Quantum Algebra
q-alg
Abstract
We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M\^ori and Sato as a generalization of the fifth Painlev\'e equations.
Keywords
Cite
@article{arxiv.hep-th/9605125,
title = {Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions},
author = {T. Kojima},
journal= {arXiv preprint arXiv:hep-th/9605125},
year = {2009}
}
Comments
LaTEX file, 27 pages, to appear in J. Stat. Phys. (1997)