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- W2019923812 abstract "Abstract Instead of emphasizing the ground state as is done in Green's function method, we take a finite-dimensional subspace of the Hilbert space: the space of the intermediate states. A systematic introduction of intermediate states is effected by an extension of the method of generating functionals: we combine the generating functionals of the n-point Green's functions to a matrix functional T, and form new matrix functionals, which are matrix functions of T. The aim of this paper is to develop the functional calculus in such a way that the transition from scalar functionals to matrix functionals is straightforward, and the method of obtaining further results becomes clear. Following the lines of Dürr and Wagner we get u η-and ζ-rules with intermediate states. Using them we define a truncation procedure for the equations of motion of the n-point Green's functions, the New Tamm-Dancoff method with intermediate states. This extension makes it possible to treat the effect of nearby levels in many body systems with Green's functions. In ad-dition to well-known approximations, such as the Hartree-Fock and the Hartree-Bogoliubov theory, the RPA and the quasiparticle RPA, we obtain a series of new approximations. Among these are the Hartree-Fock theory with intermediate states and the random-phase approximation with intermediate states, which we already applied with great success to some exactly soluble models." @default.
- W2019923812 created "2016-06-24" @default.
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- W2019923812 date "1976-08-01" @default.
- W2019923812 modified "2023-10-18" @default.
- W2019923812 title "Wiek-Regeln mit Zwischenzuständen und die Neue Tamm-Dancoff-Methode mit Zwischenzuständen / On Wick Rules with Intermediate States and the New Tamm-Dancoff Method with Intermediate States" @default.
- W2019923812 doi "https://doi.org/10.1515/zna-1976-0802" @default.
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