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Functional integral representations and inequalities for bose partition functions

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Feynman Path Integrals

Part of the book series: Lecture Notes in Physics ((LNP,volume 106))

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Abstract

Different phase space descriptions of quantum mechanics are used to construct different functional integral representations for the partition function of a general system where Bose degrees of freedom are involved. The “static approximation” to these functional integrals yields (pseudo-)classical partition functions providing either a lower or an upper bound on the original partition function. The upper bound generalizes a result due to HEPP and LIEB.

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S. Albeverio Ph. Combe R. Høegh-Krohn G. Rideau M. Sirugue-Collin M. Sirugue R. Stora

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© 1979 Springer-Verlag

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Leschke, H. (1979). Functional integral representations and inequalities for bose partition functions. In: Albeverio, S., et al. Feynman Path Integrals. Lecture Notes in Physics, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09532-2_95

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  • DOI: https://doi.org/10.1007/3-540-09532-2_95

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09532-3

  • Online ISBN: 978-3-540-35039-2

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