Exact results for state-to-state transition probabilities in the multistate Landau-Zener model by non-stationary perturbation theory

Details Exact results for state-to-state transition probabilities in the multistate Landau-Zener model by non-stationary perturbation theory Exact results for state-to-state transition probabilities in the multistate Landau-Zener model by non-stationary perturbation theory

2006-11-02

arxiv.org/abs/cond-mat/0611046v1

Physics

Condensed Matter

Other Condensed Matter

21 pages, 0 figures

Scientific paper

Multistate generalizations of Landau-Zener model are studied by summing entire series of perturbation theory. A new technique for analysis of the series is developed. Analytical expressions for probabilities of survival at the diabatic potential curves with extreme slope are proved. Degenerate situations are considered when there are several potential curves with extreme slope. New expressions for some state-to-state transition probabilities are derived in degenerate cases.

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