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This article is cited in 6 scientific papers (total in 6 papers)
Spectroscopy and physics of atoms and molecules
On the relation between a non-Hermitian Hamiltonian and a stochastic differential equation in the theory of open systems
A. M. Basharovab a National Research Centre "Kurchatov Institute", Moscow
b Department of Mathematics and Mathematical Methods of Physics, Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, Russia
Abstract:
We show that a number of particle decay problems, which are described by the non-Hermitian Hamiltonian (correspondingly, the nonunitary dynamics is spoken of), can be correctly and consistently reformulated in terms of stochastic differential equations upon application of the algebraic perturbation theory. In this formulation, kinetic equations are obtained in the standard scheme of the theory of open quantum systems. The parameters of the kinetic equation coincide with similar parameters describing the decay of a particle when the decay is considered on the basis of the non-Hermitian Hamiltonian.
Keywords:
decay of particles, non-Hermitian Hamiltonian, kinetic equation.
Received: 20.10.2019 Revised: 20.10.2019 Accepted: 01.11.2019
Citation:
A. M. Basharov, “On the relation between a non-Hermitian Hamiltonian and a stochastic differential equation in the theory of open systems”, Optics and Spectroscopy, 128:2 (2020), 186–193; Optics and Spectroscopy, 128:2 (2020), 182–190
Linking options:
https://www.mathnet.ru/eng/os464 https://www.mathnet.ru/eng/os/v128/i2/p186
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