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Ground-State Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions

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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 nonlinear differential equations which were introduced by Jimbo, Miwa, Môri, and Sato as a generalization of the fifth Painlevé equations.

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  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606, Japan

    Takeo Kojima

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  1. Takeo Kojima
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Kojima, T. Ground-State Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions. Journal of Statistical Physics 88, 713–743 (1997). https://doi.org/10.1023/B:JOSS.0000015169.89162.d9

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  • DOI: https://doi.org/10.1023/B:JOSS.0000015169.89162.d9

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