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Bounds on exponentials of local number operators in quantum statistical mechanics

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Abstract

We consider the quantum systems of interacting Bose particles confined to a bounded region Λ of the configuration spaces ℝv. For a class of superstable interactions we obtain bounds on exponentials of local number operators for any temperature and activity. The method we use is the Wiener integral formalism in statistical mechanics. As a consequence any thermodynamic limit states are entire analytic and locally normal in the CCR algebra. In some cases these are modular states.

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Authors and Affiliations

  1. Department of Mathematics, Yonsei University, Seoul, Korea

    Yong Moon Park

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  1. Yong Moon Park
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Communicated by J. Fröhlich

Research supported in part by a grant from Korean Science Foundation

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Park, Y.M. Bounds on exponentials of local number operators in quantum statistical mechanics. Commun.Math. Phys. 94, 1–33 (1984). https://doi.org/10.1007/BF01212347

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  • DOI: https://doi.org/10.1007/BF01212347

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