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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 209–218
DOI: https://doi.org/10.1134/S0371968518020152 (Mi tm3909) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Feynman–Chernoff iterations and their applications in quantum dynamics

Yu. N. Orlova, V. Zh. Sakbaevb

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
b Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
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DOI: https://doi.org/10.1134/S0371968518020152
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.
Keywords: Feynman formulas, Chernoff equivalence, averaging of quantum semigroups, Liouville equation, coherent states.
Funding agency Grant number
Russian Science Foundation 14-21-00025
This work is supported by the Russian Science Foundation under grant 14-21-00025.
Received: October 31, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 197–206
DOI: https://doi.org/10.1134/S0081543818040156
Bibliographic databases:
Document Type: Article
UDC: 517.983.6
Language: Russian
Citation: Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff iterations and their applications in quantum dynamics”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 209–218; Proc. Steklov Inst. Math., 301 (2018), 197–206
Citation in format AMSBIB
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\pages 209--218
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    • This publication is cited in the following 2 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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