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Physics Letters B

Numerical solution of one-dimensional TDHF equations without and with a collision term

J. Richert, D.M. Brink, Hans A. Weidenmüller

Published Oct 1, 1979• 25 citations
Publisher
DOI
10.1016/0370-2693(79)90003-0

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On the Simulation of Extended TDHF Theory

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A novel method is presented for implementation of the extended mean-field theory incorporating two-body collisions. At a given time, stochastic imaginary time propagation of occupied states are used to generate a convenient basis. The quantal collision terms, including memory effects, is then computed by a backward mean-field propagation of these single-particle states. The method is illustrated in an exactly solvable model. Whereas the usual TDHF fails to reproduce the long time evolution, a good agreement is found between the extended TDHF and the exact solution. PACS: 05.30.-d, 24.10.Cn, 05.60.+w

•Feb 23, 1999•8 citations
A novel method is presented for implementation of the extended mean-field theory incorporating two-body collisions. At a given time, stochastic imaginary time propagation of occupied states are used to generate a convenient basis. The quantal collision terms, including memory effects, is then computed by a backward mean-field propagation of these single-particle states. The method is illustrated in an exactly solvable model. Whereas the usual TDHF fails to reproduce the long time evolution, a good agreement is found between the extended TDHF and the exact solution. PACS: 05.30.-d, 24.10.Cn, 05.60.+w