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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© 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
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