A new method is presented for calculating the Stokes multiplier for the Landau-Zener model. This method is based on the coupled wave integral equations suggested by Hinton. The calculations are reduced to the matching of the solution of the third-order recursion relation to the asymptotic Birkhoff set. An analytical application of the method is given for the perturbation theory limit at the energy equal to zero.
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Wayne State Univ, Dept Chem, 5101 Cass Ave, Detroit, MI 48202 USA
Wayne State Univ, Dept Math, 656 W Kirby, Detroit, MI 48202 USAWayne State Univ, Dept Chem, 5101 Cass Ave, Detroit, MI 48202 USA
Chernyak, Vladimir Y.
Sinitsyn, Nikolai A.
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Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USAWayne State Univ, Dept Chem, 5101 Cass Ave, Detroit, MI 48202 USA
Sinitsyn, Nikolai A.
Sun Chen
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Brown Univ, Dept Phys, Providence, RI 02912 USAWayne State Univ, Dept Chem, 5101 Cass Ave, Detroit, MI 48202 USA