Functional integral formulation of Brueckner-Hartree-Fock theory

Journal Article · Tue May 01 04:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90157-X· OSTI ID:6714853

Troudet, T; Koonin, S F

A functional integral formalism is developed for the quantum theory many-fermion problem with a strong, short-range repulsive two-body potential. It is applied to nuclear transition amplitude, 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 state. 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.

• Research Organization: W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125
• OSTI ID: 6714853
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 154:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BOUNDARY CONDITIONS
BRUECKNER METHOD
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
HAMILTONIANS
HARTREE-FOCK METHOD
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
TIME DEPENDENCE
TRANSITION AMPLITUDES