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- W1995267752 abstract "The problem of finding the spectrum of the Fock-space Hamiltonian ifmmode hat{H}else ^{H}fi{} for a system of many fermions is analyzed. The quasiparticle formalism is employed, with ``holes'' and ``particles'' defined with respect to some N-particle determinantal wave function (the model vacuum). The basic idea behind the proposed approach is to perform a similarity transformation of Hamiltonian ifmmode hat{H}else ^{H}fi{}, such that the resulting effective Hamiltonian ifmmode hat{G}else ^{G}fi{} is, unlike ifmmode hat{H}else ^{H}fi{}, a quasiparticle-number--conserving operator. It is shown that eigenvalues of ifmmode hat{G}else ^{G}fi{}, corresponding to small numbers of quasiparticles (0,1,2) can be easily calculated. This is equivalent to finding eigenvalues of ifmmode hat{H}else ^{H}fi{} for certain states of N, Nifmmodepmelsetextpmfi{}1, and Nifmmodepmelsetextpmfi{}2 particles. The construction of the operator transforming ifmmode hat{H}else ^{H}fi{} into ifmmode hat{G}else ^{G}fi{} (the wave operator) stems from an analysis of the structure of the algebra of linear operators acting in a (finite-dimensional) Fock space. The exponential Ansatz for the wave operator is used, resulting in a generalization of the coupled-cluster (CC) method of Coester [Nucl. Phys. 7, 421 (1958)]. The generalized CC equations determining the wave operator, and equations determining the effective Hamiltonian ifmmode hat{G}else ^{G}fi{}, are presented in a diagrammatic form. An effort has been made to obtain a concise notation for expressing these equations in an algebraic form. Approximation schemes, necessary for practical applications of the proposed method, are also studied." @default.
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- W1995267752 date "1985-08-01" @default.
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- W1995267752 title "Coupled-cluster method in Fock space. I. General formalism" @default.
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- W1995267752 doi "https://doi.org/10.1103/physreva.32.725" @default.
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