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Extended Coupled Cluster Method: Quantum Many-Body Theory Made Classical

  • Chapter
Condensed Matter Theories

Abstract

We focus attention in this paper on how the general quantum many-body problem can be cast in the form of a variational principle for a specified action functional. After some preliminary discussion in Section 2 concerning the algebra of the many-body operators and the development of a convenient shorthand notation to describe it, we show in Section 3 how each of the configuration-interaction (CI)1 method, the normal coupled cluster method (CCM),2–6 and an extended version of the CCM,7,8 can be derived by specific parametrisations of the ground-state bra and ket wavefunctions in the action functional. In each case we make contact and comparison with time-independent perturbation theory, and we discuss the various “tree-diagram” structures that emerge in each case.

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Author information

Authors and Affiliations

  1. Department of Theoretical Physics, University of Helsinki, Siltavuorenpenger 20C, 00170, Helsinki, Finland

    J. Arponen

  2. Department of Mathematics, University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD, England

    R. F. Bishop

  3. Research Institute for Theoretical Physics, Siltavuorenpenger 20C, 00170, Helsinki, Finland

    E. Pajanne

Authors
  1. J. Arponen
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  2. R. F. Bishop
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  3. E. Pajanne
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Editor information

Editors and Affiliations

  1. Argonne National Laboratory, Argonne, Illinois, USA

    P. Vashishta  & Rajiv K. Kalia  & 

  2. University of Manchester Institute of Science and Technology, Manchester, UK

    R. F. Bishop

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© 1987 Plenum Press, New York

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Arponen, J., Bishop, R.F., Pajanne, E. (1987). Extended Coupled Cluster Method: Quantum Many-Body Theory Made Classical. In: Vashishta, P., Kalia, R.K., Bishop, R.F. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0917-8_41

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  • DOI: https://doi.org/10.1007/978-1-4613-0917-8_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8244-0

  • Online ISBN: 978-1-4613-0917-8

  • eBook Packages: Springer Book Archive

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