387 citations · 2.1k across the 79 of their papers we have counts for
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Probability measures on graph trajectories
Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein
The aim of this note is to construct a probability measure on the space of trajectories in a continuous time Markov chain having a finite state diagram, or more generally which adm…
Heisenberg-Uncertainty of Spatially-Gated Electromagnetic Fields
Vladimir Y. Chernyak, Shaul Mukamel
A Heisenberg uncertainty relation is derived for spatially-gated electric and magnetic field fluctuations. The uncertainty increases for small gating sizes which implies that in co…
Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
Rajesh K. Malla, Vladimir Y. Chernyak, Nikolai A. Sinitsyn
We demonstrate that the general model of a linearly time-dependent crossing of two energy bands is integrable. Namely, the Hamiltonian of this model has a quadratically time-depend…