Email this article Feynman—Chernoff Iterations and Their Applications in Quantum Dynamics
- Authors: Orlov Y.N.1, Sakbaev V.Z.2
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 301, No 1 (2018)
- Pages: 197-206
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175577
- DOI: https://doi.org/10.1134/S0081543818040156
- ID: 175577
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Abstract
The notion of Chernoff equivalence for operator-valued functions is generalized to the solutions of quantum evolution equations with respect to the density matrix. A semigroup is constructed that is Chernoff equivalent to the operator function arising as the mean value of random semigroups. As applied to the problems of quantum optics, an operator is constructed that is Chernoff equivalent to a translation operator generating coherent states.
About the authors
Yu. N. Orlov
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: yuno@kiam.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047
V. Zh. Sakbaev
Moscow Institute of Physics and Technology (State University)
Email: yuno@kiam.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701
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