### 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 language | English (US) |
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Pages (from-to) | 421-439 |

Number of pages | 19 |

Journal | Annals of Physics |

Volume | 154 |

Issue number | 2 |

DOIs | |

State | Published - 1984 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*154*(2), 421-439. https://doi.org/10.1016/0003-4916(84)90157-X

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

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 154, no. 2, pp. 421-439. https://doi.org/10.1016/0003-4916(84)90157-X

}

TY - JOUR

T1 - Functional integral formulation of Brueckner-Hartree-Fock theory

AU - Troudet, T.

AU - Koonin, S. E.

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=48549113508&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48549113508&partnerID=8YFLogxK

U2 - 10.1016/0003-4916(84)90157-X

DO - 10.1016/0003-4916(84)90157-X

M3 - Article

AN - SCOPUS:48549113508

VL - 154

SP - 421

EP - 439

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 2

ER -