Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

Details Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

1996-05-17

arxiv.org/abs/hep-th/9605125v3

Physics

High Energy Physics

High Energy Physics - Theory

LaTEX file, 27 pages, to appear in J. Stat. Phys. (1997)

Scientific paper

10.1023/B:JOSS.0000015169.89162.

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.

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