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Tr. Mat. Inst. Steklova, 2018, Volume 301, Pages 209–218 (Mi tm3909)  

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

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.

Funding Agency Grant Number
Russian Science Foundation 14-21-00025
This work is supported by the Russian Science Foundation under grant 14-21-00025.


DOI: https://doi.org/10.1134/S0371968518020152

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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 301, 197–206

Bibliographic databases:
UDC: 517.983.6
Received: October 31, 2017

Citation: Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff iterations and their applications in quantum dynamics”, Complex analysis, mathematical physics, and applications, Collected papers, Tr. 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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\paper Feynman--Chernoff iterations and their applications in quantum dynamics
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\bookinfo Collected papers
\serial Tr. Mat. Inst. Steklova
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\vol 301
\pages 209--218
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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