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Mean-field approximation to the many-body S matrix

Alhassid, Y. and Koonin, S. E. (1981) Mean-field approximation to the many-body S matrix. Physical Review C, 23 (4). pp. 1590-1611. ISSN 0556-2813.

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A nonperturbative method is developed for calculating the excitation of a many-body system by a time-dependent Hamiltonian. The stationary-phase approximation to a functional-integral representation of the interaction-picture many-body evolution operator results in a mean-field approximation to the S matrix which is asymptotically time independent. A one-body temporally nonlocal evolution equation defines the stationary mean-field configurations. The general method and character of the stationary solutions are illustrated by application to the forced harmonic oscillator and forced Lipkin model. Potential applications to realistic nuclear and atomic scattering situations are discussed.

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Additional Information:©1981 The American Physical Society Received 1 July 1980 We are grateful for conversations with Dr. K.R. Sandhya Devi and George Fuller during the early stages of this work. Discussions with Dr. Shimon Levit have also been very useful. Y. Alhassid is a Chaim Weizmann Post-doctoral Fellow and S. Koonin holds an Alfred P. Sloan Foundation research fellowship. This work was supported in part by the National Science Foundation under Contract Nos. PHY77-21602 and PHY79-23638.
Subject Keywords:NUCLEAR REACTIONS Mean-field approximation, many-body S matrix, time-dependent Hartree Fock.
Issue or Number:4
Record Number:CaltechAUTHORS:ALHprc81b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7047
Deposited By: Archive Administrator
Deposited On:06 Jan 2007
Last Modified:02 Oct 2019 23:38

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