Elsevier

Physics Letters A

Volume 163, Issues 1–2, 9 March 1992, Pages 121-126
Physics Letters A

A constant term identity and its relationship to the log-gas and some quantum many body systems

https://doi.org/10.1016/0375-9601(92)90174-KGet rights and content

Abstract

The excess chemical potential of an impurity charge in the one-component log-gas on a line in periodic boundary conditions is calculated by using an identity for the constant term in the Laurent expansion of a certain multivariable function. The coefficient of the leading term in the large separation expansion of the ground state one-particle density matrix for the one-dimensional quantum many body system with the 1/r2 potential can be expressed in terms of this excess chemical potential and thus evaluated explicitly.

References (13)

  • M. Jimbo et al.

    Physica D

    (1980)
  • B. Jancovici

    Mol. Phys.

    (1984)
  • B. Sutherland

    Phys. Rev. A

    (1972)
  • P.J. Forrester

    J. Phys. A

    (1984)
  • M.L. Mehta

    Random matrices

    (1967)
  • W.G. Morris

    Constant term identities for finite and affine root systems

There are more references available in the full text version of this article.

Cited by (13)

  • Generalizations of the q-Morris Constant Term Identity

    1998, Journal of Combinatorial Theory. Series A
  • Exact Correlations in Topological Quantum Chains

    2023, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
  • Log-Gases and Random Matrices (LMS-34)

    2010, Log-Gases and Random Matrices (LMS-34)
  • The resultant on compact riemann surfaces

    2009, Communications in Mathematical Physics
View all citing articles on Scopus
1

Supported by the Australian Research Council.

View full text