Functional integral formulation of Brueckner-Hartree-Fock theory

T. Troudet, S. E. Koonin

Research output: Contribution to journalArticle

Abstract

A functional 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 which 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 time-dependent generalization. A non-perturbative expression for the quantal corrections to the static Brueckner-Hartree-Fock mean-field is proposed using the example of the ground state energy.

Original languageEnglish (US)
Pages (from-to)421-439
Number of pages19
JournalAnnals of Physics
Volume154
Issue number2
DOIs
StatePublished - 1984

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formulations
Hartree approximation
equations of motion
fermions
boundary conditions
formalism
ground state
approximation
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Functional integral formulation of Brueckner-Hartree-Fock theory. / Troudet, T.; Koonin, S. E.

In: Annals of Physics, Vol. 154, No. 2, 1984, p. 421-439.

Research output: Contribution to journalArticle

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