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Thermodynamic Limit

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Mathematical Foundations of Quantum Statistical Mechanics

Part of the book series: Mathematical Physics Studies ((MPST,volume 17))

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Abstract

In the previous section, we have constructed the representation of statistical operators as Wiener integrals (in the grand canonical ensemble), namely,

$$F_s^ \wedge \left( {{{(x)}_s};{{(y)}_s}} \right) = {\Xi ^{ - 1}}(V,\beta ,z)\sum\limits_{n = 0}^\infty {\frac{{{z^{n + s}}}}{{n!}}} \times \int {d{{(u)}_n}P_{{{(x)}_s},{{(u)}_n};{{(y)}_s},{{(u)}_n}}^\beta } (d{(\omega )_{s + n}}){\alpha _ \wedge }(d{(\omega )_{s + n}}){e^{ - U({{(\omega )}_{s + n}})}}.$$
((7.1))

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    D. Ya. Petrina

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  1. D. Ya. Petrina
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© 1995 Springer Science+Business Media Dordrecht

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Petrina, D.Y. (1995). Thermodynamic Limit. In: Mathematical Foundations of Quantum Statistical Mechanics. Mathematical Physics Studies, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0185-1_3

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  • DOI: https://doi.org/10.1007/978-94-011-0185-1_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4083-9

  • Online ISBN: 978-94-011-0185-1

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