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A thermal cluster-cumulant theory

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Microscopic Quantum Many-Body Theories and Their Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 510))

Abstract

The preeminent success of the coupled cluster theory for treating correlation effects to high accuracy has prompted attempts in recent years to extend this approach to encompass temperature-dependent situations. We shall discuss here one such nonperturbative finite-temperature version, to be called a cluster-cumulant formalism, which shares the best features of a zero-temperature coupled cluster theory. The key theoretical ingredients of the method are :(a) the notion of thermal normal ordering and Wick-like expansion theorem to simplify the imaginary-time ordered exponential representation of the Boltzmann operator, and (b) a representation of the Boltzmann operator as an exponential of a cluster-cumulant in the thermal normal order. The grand partition function is generated systematically as a thermal trace of the Boltzmann operator. Generalization of the concept of the normal ordering to cover imaginary-time path-integral based methods for partition functions offers an access to systematic nonperturbative extensions of the usual Feynman-Kleinert approximations.

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Authors and Affiliations

  1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, 700-032, Calcutta, India

    Sheikh Hannan Mandal, Goutam Sanyal & Debashis Mukherjee

Authors
  1. Sheikh Hannan Mandal
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  2. Goutam Sanyal
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  3. Debashis Mukherjee
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Editor information

Jesús Navarro Artur Polls

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© 1998 Springer-Verlag

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Mandal, S.H., Sanyal, G., Mukherjee, D. (1998). A thermal cluster-cumulant theory. In: Navarro, J., Polls, A. (eds) Microscopic Quantum Many-Body Theories and Their Applications. Lecture Notes in Physics, vol 510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104525

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  • DOI: https://doi.org/10.1007/BFb0104525

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64471-2

  • Online ISBN: 978-3-540-69787-9

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