Random coupling models.IV. Numerical investigation of the dependence on the random coupling distribution and on the initial phases

Benny Carmeli; Roberto Tulman; Abraham Nitzan; M. H. Kalos

doi:10.1016/0301-0104(82)85133-1

Random coupling models.IV. Numerical investigation of the dependence on the random coupling distribution and on the initial phases

Benny Carmeli^*, Roberto Tulman, Abraham Nitzan, M. H. Kalos

^*Corresponding author for this work

School of Chemistry

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Abstract

Results of numerical simulations of the time evolution associated with hamiltonians characterized by random coupling matrix elements between dense manifolds of states are presented. It is shown that in the statistical limit (averaged magnitude of the coupling larger than the inverse density of states) the time evolution is independent of the detailed nature of the coupling and depends only on the first and second moments of the random coupling distribution, provided that these moments are finite. If these moments do not exist the golden rule is not obeyed. In the symmetric random coupling model the time evolution is independent of the choice of the initial phases.

Original language	English
Pages (from-to)	363-369
Number of pages	7
Journal	Chemical Physics
Volume	72
Issue number	3
DOIs	https://doi.org/10.1016/0301-0104(82)85133-1
State	Published - 15 Nov 1982

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Random coupling models.IV. Numerical investigation of the dependence on the random coupling distribution and on the initial phases

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