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Multistate generalizations of Landau-Zener model are studied by summingentire series of perturbation theory. A new technique for analysis of theseries is developed. Analytical expressions for probabilities of survival atthe diabatic potential curves with extreme slope are proved. Degeneratesituations are considered when there are several potential curves with extremeslope. New expressions for some state-to-state transition probabilities arederived in degenerate cases.Comment: 21 pages, 0 figure

Analytical results for state-to-state transition probabilities in the multistate Landau-Zener model by nonstationary perturbation theory