Multistate generalizations of Landau-Zener model are studied by summing entire series of perturbation theory. A 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. Expressions for some state-to-state transition probabilities are derived in degenerate cases.

arXiv:cond-mat/0611046Physical Review AFeb 20, 200717 citations

The second level amendment of the energy and the wave function in the degenerate perturbation theory

Wei Ming

According to the way of the second level amendment of the energy and the wave function in the non-degenerate perturbation theory,the second level amendment of the energy and the wave function are induced in degenerate perturbation theory, which forms the formula of the second level amendment.

Journal of Guizhou Normal UniversityJan 1, 20060 citations