### Abstract

The excitation of a many-body system by a time-dependent perturbation is considered within the framework of functional integration. The stationary phase approximation to a functional-integral representation of the final expectation values of many-body observables in the interaction picture leads to a new time-dependent mean-field theory. The resulting equations of motion depend upon the observable itself and consequently are nonlocal in time. The method is illustrated by an analytically soluble application to the forced harmonic oscillator. NUCLEAR REACTIONS Functional integral representation of expectation values of many-body observables. Stationary phase approximation. Time-dependent mean fields.

Original language | English (US) |
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Pages (from-to) | 1465-1474 |

Number of pages | 10 |

Journal | Physical Review C - Nuclear Physics |

Volume | 28 |

Issue number | 4 |

DOIs | |

State | Published - 1983 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review C - Nuclear Physics*,

*28*(4), 1465-1474. https://doi.org/10.1103/PhysRevC.28.1465

**Time-dependent mean-field approximations for many-body observables.** / Troudet, T.; Koonin, S. E.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 28, no. 4, pp. 1465-1474. https://doi.org/10.1103/PhysRevC.28.1465

}

TY - JOUR

T1 - Time-dependent mean-field approximations for many-body observables

AU - Troudet, T.

AU - Koonin, S. E.

PY - 1983

Y1 - 1983

N2 - The excitation of a many-body system by a time-dependent perturbation is considered within the framework of functional integration. The stationary phase approximation to a functional-integral representation of the final expectation values of many-body observables in the interaction picture leads to a new time-dependent mean-field theory. The resulting equations of motion depend upon the observable itself and consequently are nonlocal in time. The method is illustrated by an analytically soluble application to the forced harmonic oscillator. NUCLEAR REACTIONS Functional integral representation of expectation values of many-body observables. Stationary phase approximation. Time-dependent mean fields.

AB - The excitation of a many-body system by a time-dependent perturbation is considered within the framework of functional integration. The stationary phase approximation to a functional-integral representation of the final expectation values of many-body observables in the interaction picture leads to a new time-dependent mean-field theory. The resulting equations of motion depend upon the observable itself and consequently are nonlocal in time. The method is illustrated by an analytically soluble application to the forced harmonic oscillator. NUCLEAR REACTIONS Functional integral representation of expectation values of many-body observables. Stationary phase approximation. Time-dependent mean fields.

UR - http://www.scopus.com/inward/record.url?scp=35949020271&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949020271&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.28.1465

DO - 10.1103/PhysRevC.28.1465

M3 - Article

VL - 28

SP - 1465

EP - 1474

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -