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

  • J. Arponen
  • R. F. Bishop
  • E. Pajanne

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.

Keywords

Vortex Helium Suffix Lism Agram 

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Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • J. Arponen
    • 1
  • R. F. Bishop
    • 2
  • E. Pajanne
    • 3
  1. 1.Department of Theoretical PhysicsUniversity of HelsinkiHelsinkiFinland
  2. 2.Department of MathematicsUniversity of Manchester Institute of Science and TechnologyManchesterEngland
  3. 3.Research Institute for Theoretical PhysicsHelsinkiFinland

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