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Nonlinearity and Disorder: Theory and Applications pp 351–361Cite as

Exact Cluster Expansions for a One-Dimensional δ-Function Bose Gas

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Part of the book series: NATO Science Series ((NAII,volume 45))

Abstract

A one-dimensional system of bosons with repulsive delta-function interaction is studied at a finite temperature. Explicit calculations of the partition function and the cluster integrals are carried out. The results prove directly the validity of the thermal Bethe ansatz(TBA) method. Thermodynamic quantities such as the pressure, the chemical potential and the energy are given both for strong and weak coupling limits.

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Author information

Authors and Affiliations

  1. Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, Japan, 113-0033

    M. Wadati & G. Kato

Authors
  1. M. Wadati
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  2. G. Kato
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Editor information

Editors and Affiliations

  1. Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Fatkhulla Abdullaev

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark

    Ole Bang  & Mads Peter Sørensen  & 

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© 2001 Springer Science+Business Media Dordrecht

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Wadati, M., Kato, G. (2001). Exact Cluster Expansions for a One-Dimensional δ-Function Bose Gas. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_30

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  • DOI: https://doi.org/10.1007/978-94-010-0542-5_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0192-5

  • Online ISBN: 978-94-010-0542-5

  • eBook Packages: Springer Book Archive

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