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

Troudet, T. and Koonin, S. E. (1983) Time-dependent mean-field approximations for many-body observables. Physical Review C, 28 (4). pp. 1465-1474. ISSN 0556-2813. http://resolver.caltech.edu/CaltechAUTHORS:TROprc83a

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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.


Item Type:Article
Additional Information:©1983 The American Physical Society Received 21 June 1983 One of the authors (T.T.) acknowledges a Richard Chace Tolman Fellowship from the California Institute of Technology and thanks Professor A. K. Kerman and Professor R. Balian for useful discussions he enjoyed with them. We would also like to thank our theoretical colleagues in the Kellog Lab for their encouragements, particularly Dr. O. Van Roosmalen.
Subject Keywords:NUCLEAR REACTIONS; Functional integral representation of expectation values of many-body observables; Stationary phase approximation; Time-dependent mean fields
Record Number:CaltechAUTHORS:TROprc83a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:TROprc83a
Alternative URL:http://dx.doi.org/10.1103/PhysRevC.28.1465
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5382
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Oct 2006
Last Modified:26 Dec 2012 09:05

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