Landau-Zener problem for energies close to potential crossing points

Details Landau-Zener problem for energies close to potential crossing points Landau-Zener problem for energies close to potential crossing points

2004-08-16

arxiv.org/abs/cond-mat/0408346v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1134/1.1830664

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 x 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.

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