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Annals of Physics

Beyond the TDHF: A collision term from a random-matrix model

Published Sep 1, 1981• 0 citations
Publisher
DOI
10.1016/0003-4916(81)90163-9

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On the Simulation of Extended TDHF Theory

Denis Lacroix A, Ph. Chomaz, Sakir Ayik B

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