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On the asymptotic exactness of the Bogoliubov approximation for many boson systems

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Abstract

The Bogoliubov approximation for many boson systems consists in replacing the field operatorsa 0 anda +0 byc-numbers, to be determined by an extremum condition. Here we formulate the approximation in terms of coherent states of the condensed particles, and prove that for reasonable interactions it gives the exact values of the thermodynamical functions in the infinite volume limit.

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Author notes

  1. J. Ginibre

    Present address: Laboratoire de Physique Théorique, Faculté des Sciences, Orsay, France

Authors and Affiliations

  1. Department of Physics, New York University, USA

    J. Ginibre

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  1. J. Ginibre
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Research supported in part by the National Science Foundation.

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Ginibre, J. On the asymptotic exactness of the Bogoliubov approximation for many boson systems. Commun.Math. Phys. 8, 26–51 (1968). https://doi.org/10.1007/BF01646422

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  • DOI: https://doi.org/10.1007/BF01646422

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