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The equilibrium states of the free Boson gas

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Abstract

The generating functional of the cyclic representation of the canonical commutation relations for the equilibrium state of the free Boson gas is calculated, using a method due to Kac, as the thermodynamic limit of the grand canonical generating functional. The relation to the work of Araki and Woods is discussed.

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Authors and Affiliations

  1. Dublin Institute for Advanced Studies, Dublin, Ireland

    J. T. Lewis

  2. Mathematics Department, Royal University of Malta, Malta

    J. V. Pulè

Authors
  1. J. T. Lewis
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  2. J. V. Pulè
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Additional information

Communicated by G. Gallavotti

We are deeply indebted to Professor M. Kac for showing us his derivation of the London-Placzek formula before publication. We are grateful to Dr. E. B. Davies for many stimulating discussions.

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Lewis, J.T., Pulè, J.V. The equilibrium states of the free Boson gas. Commun.Math. Phys. 36, 1–18 (1974). https://doi.org/10.1007/BF01646022

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  • DOI: https://doi.org/10.1007/BF01646022

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