17 citations · 35 across the 4 of their papers we have counts for
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Landau-Zener problem for energies close to potential crossing points
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
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, e…
Instanton versus traditional WKB approach to Landau - Zener problem
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
Different theoretical approaches to the famous two state Landau - Zener problem are briefly discussed. Apart from traditional methods of the adiabatic perturbation theory, Born - O…
Competing tunneling trajectories in a 2D potential with variable topology as a model for quantum bifurcations
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats +2
We present a path - integral approach to treat a 2D model of a quantum bifurcation. The model potential has two equivalent minima separated by one or two saddle points, depending o…
Semiclassical approach to states near potential barrier top
V. A. Benderskii, E. V. Vetoshkin, ; E. I. Kats
Within the framework of the instanton approach we present analytical results for the following model problems: (i) particle penetration through a parabolic potential barrier, where…