Home
For authors
Submission status

Current
Archive (English)
Archive
   Volumes 81-92
   Volumes 41-60
   Volumes 21-40
   Volumes 1-20
   Volumes 61-80
      Volume 80
      Volume 79
      Volume 78
      Volume 77
      Volume 76
      Volume 75
      Volume 74
      Volume 73
      Volume 72
      Volume 71
      Volume 70
      Volume 69
      Volume 68
      Volume 67
      Volume 66
      Volume 65
      Volume 64
      Volume 63
      Volume 62
      Volume 61
Search
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
Abstract
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.


Download PS file (GZipped, 94.5K)  |  Download PDF file (181.3K)