RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors License agreement Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Trudy MIAN: Year: Volume: Issue: Page: Find

 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

Full text: PDF file (212 kB)
First page: PDF file
References: PDF file   HTML file

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

Bibliographic databases:
UDC: 517.983.6

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
\Bibitem{OrlSak18} \by Yu.~N.~Orlov, V.~Zh.~Sakbaev \paper Feynman--Chernoff iterations and their applications in quantum dynamics \inbook Complex analysis, mathematical physics, and applications \bookinfo Collected papers \serial Tr. Mat. Inst. Steklova \yr 2018 \vol 301 \pages 209--218 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3909} \crossref{https://doi.org/10.1134/S0371968518020152} \elib{http://elibrary.ru/item.asp?id=35246346} \transl \jour Proc. Steklov Inst. Math. \yr 2018 \vol 301 \pages 197--206 \crossref{https://doi.org/10.1134/S0081543818040156} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000442104600015} \elib{http://elibrary.ru/item.asp?id=35737116} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85051672143}