### Abstract

The excitation of a many-body system by a one-body perturbation is considered. The stationary phase approximation to a functional-integral representation of the many-body evolution operator shows that the optimal mean field for describing the final expectation values of one- and two-body operators is that given by the time-dependent Hartree-Fock method. The forced Lipkin model is considered as a test of the mean-field approximation. NUCLEAR REACTIONS Mean-field approximation, inclusive observables. Time-dependent Hartree-Fock.

Original language | English (US) |
---|---|

Pages (from-to) | 487-491 |

Number of pages | 5 |

Journal | Physical Review C - Nuclear Physics |

Volume | 23 |

Issue number | 1 |

DOIs | |

State | Published - 1981 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*23*(1), 487-491. https://doi.org/10.1103/PhysRevC.23.487

**Mean-field approximation for inclusive observables.** / Alhassid, Y.; M̈ller, B.; Koonin, S. E.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 23, no. 1, pp. 487-491. https://doi.org/10.1103/PhysRevC.23.487

}

TY - JOUR

T1 - Mean-field approximation for inclusive observables

AU - Alhassid, Y.

AU - M̈ller, B.

AU - Koonin, S. E.

PY - 1981

Y1 - 1981

N2 - The excitation of a many-body system by a one-body perturbation is considered. The stationary phase approximation to a functional-integral representation of the many-body evolution operator shows that the optimal mean field for describing the final expectation values of one- and two-body operators is that given by the time-dependent Hartree-Fock method. The forced Lipkin model is considered as a test of the mean-field approximation. NUCLEAR REACTIONS Mean-field approximation, inclusive observables. Time-dependent Hartree-Fock.

AB - The excitation of a many-body system by a one-body perturbation is considered. The stationary phase approximation to a functional-integral representation of the many-body evolution operator shows that the optimal mean field for describing the final expectation values of one- and two-body operators is that given by the time-dependent Hartree-Fock method. The forced Lipkin model is considered as a test of the mean-field approximation. NUCLEAR REACTIONS Mean-field approximation, inclusive observables. Time-dependent Hartree-Fock.

UR - http://www.scopus.com/inward/record.url?scp=0043070603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043070603&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.23.487

DO - 10.1103/PhysRevC.23.487

M3 - Article

VL - 23

SP - 487

EP - 491

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 1

ER -