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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 232–243
DOI: https://doi.org/10.1134/S0371968514020150 (Mi tm3539) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Feynman formulas as a method of averaging random Hamiltonians

Yu. N. Orlova, V. Zh. Sakbaevb, O. G. Smolyanovc

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968514020150
Abstract: We propose a method for finding the mathematical expectation of random unbounded operators in a Hilbert space. The method is based on averaging random one-parameter semigroups by means of the Feynman–Chernoff formula. We also consider an application of this method to the description of various operations that assign quantum Hamiltonians to the classical Hamilton functions.
Received in February 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 222–232
DOI: https://doi.org/10.1134/S0081543814040154
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 232–243; Proc. Steklov Inst. Math., 285 (2014), 222–232
Citation in format AMSBIB
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\paper Feynman formulas as a~method of averaging random Hamiltonians
\inbook Selected topics of mathematical physics and analysis
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 285
\pages 232--243
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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