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VOLUME 80 | ISSUE 6 | PAGE 493
Landau-Zener problem for energies close to potential crossing points
V. A. Benderskii+*, E. V. Vetoshkin+, E. I. Kats^{*\square}

+Institute of Problems of Chemical Physics RAS, 142432 Chernogolovka, Moscow Reg., Russia
and Laue-Langevin Institute, F-38042, Grenoble, France
*L. D. Landau Institute for Theoretical Physics RAS, 117334 Moscow, Russia

PACS: 05.45.-a, 31.50.Gh, 72.10.-d
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when all four LZ states are coupled and should be taken into account. We calculate the 4 \times 4 connection matrix in this intermediate energy region, possessing the same block structure as the known connection matrices for the tunneling and in the over-barrier regions of the energy, and continously matching those in the corresponding energy regions. Applications of the results may concern the various systems of physics, chemistry or biology, ranging from molecular magnets and glasses to Bose condensed atomic gases.

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