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24 April 2024
 
  » arxiv » cond-mat/0408346

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Landau-Zener problem for energies close to potential crossing points
V.A.Benderskii ; E.V.Vetoshkin ; E. I. Kats ;
Date 16 Aug 2004
Subject Statistical Mechanics; Materials Science | cond-mat.stat-mech cond-mat.mtrl-sci
AffiliationInstitute of Problems of Chemical Physics, Moscow Region, Chernogolovka, Russia), E. I. Kats (Laue-Langevin Institute, Grenoble, France, and L. D. Landau Institute for Theoretical Physics, RAS, Moscow, Russia
AbstractWe 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.
Source arXiv, cond-mat/0408346
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