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Functional integral formulation of Brueckner-Hartree-Fock theory

✍ Scribed by T. Troudet; S.E. Koonin

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 1017 KB
Volume: 154
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(84)90157-x

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✦ Synopsis

A func:tional integral formalism is developed for the quantum many-fermion problem with a strong, short-range repulsive two-body potential. It is applied to nuclear transition amplitudes, for whic.h the stationary phase approximation leads to a new time-dependent mean-field theory. The general equations of motion are non-local in time due to the dependence of the mean-field upon the initial and final states. For special choices of boundary conditions, these equations. simplify to the well-known Brueckner-Hartree-Fock approximation or to its timedependent generalization. A non-perturbative expression for the quanta1 corrections to the static Brueckner-Hartree-Fock mean-field is proposed using the example of the ground state energy.

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