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

Trudy Matematicheskogo Instituta imeni V.A. Steklova

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	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 Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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. Orlov^a, V. Zh. Sakbaev^b, O. G. Smolyanov^c

^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

Full-text PDF (223 kB) Citations (41)

References:

PDF

HTML

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

\Bibitem{OrlSakSmo14}

\by Yu.~N.~Orlov, V.~Zh.~Sakbaev, O.~G.~Smolyanov

\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

\mathnet{http://mi.mathnet.ru/tm3539}

\crossref{https://doi.org/10.1134/S0371968514020150}

\elib{https://elibrary.ru/item.asp?id=21726851}

\transl

\jour Proc. Steklov Inst. Math.

\yr 2014

\vol 285

\pages 222--232

\crossref{https://doi.org/10.1134/S0081543814040154}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000339949700015}

\elib{https://elibrary.ru/item.asp?id=24048620}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926358865}

Linking options:

https://www.mathnet.ru/eng/tm3539

https://doi.org/10.1134/S0371968514020150

https://www.mathnet.ru/eng/tm/v285/p232

This publication is cited in the following 41 articles:

R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Generalized Coherent States and Random Shift Operators”, Proc. Steklov Inst. Math., 324 (2024), 115–122
R. Sh. Kalmetev, “Usrednenie po Chernovu lineinykh differentsialnykh uravnenii”, Preprinty IPM im. M. V. Keldysha, 2023, 010, 12 pp.
R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Averaging of random affine transformations of functions domain”, Ufa Math. J., 15:2 (2023), 55–64
D. V. Grishin, Ya. Yu. Pavlovskiy, “Representation of solutions of the Cauchy problem for a one dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae”, Izv. Math., 85:1 (2021), 24–60
L. A. Borisov, Yu. N. Orlov, “On the Inversion Formula of Linear Quantization and the Evolution Equation for the Wigner Function”, Proc. Steklov Inst. Math., 313 (2021), 17–26
Orlov Yu.N. Sakbaev V.Zh. Shmidt E.V., “Operator Approach to Weak Convergence of Measures and Limit Theorems For Random Operators”, Lobachevskii J. Math., 42:10, SI (2021), 2413–2426
Kislitsyn A.A., Orlov Yu.N., 2021 International Joint Conference on Neural Networks (Ijcnn), IEEE International Joint Conference on Neural Networks (Ijcnn), IEEE, 2021
Borisov L.A., Orlov Y.N., “Generalized Evolution Equation of Wigner Function For An Arbitrary Linear Quantization”, Lobachevskii J. Math., 42:1 (2021), 63–69
Borisov L.A., Orlov Yu.N., “On the Generalization of Moyal Equation For An Arbitrary Linear Quantization”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 24:1 (2021), 2150003
A. A. Kislitsin, Yu. N. Orlov, “Modeling evolution sample distributions of random quantities by the equation of Liuville”, Math. Models Comput. Simul., 12:5 (2020), 747–756
A. A. Kislitsyn, “Programmnyi kompleks dlya analiza statistiki soglasovannogo urovnya statsionarnosti vremennykh ryadov”, Preprinty IPM im. M. V. Keldysha, 2020, 026, 22 pp.
Yu. N. Orlov, “Uravnenie evolyutsii funktsii Vignera dlya lineinykh kvantovanii”, Preprinty IPM im. M. V. Keldysha, 2020, 040, 22 pp.
Remizov I.D., “Formulas That Represent Cauchy Problem Solution For Momentum and Position Schrodinger Equation”, Potential Anal., 52:3 (2020), 339–370
Orlov Yu.N. Sakbaev V.Zh. Zavadsky D.V., “Operator Random Walks and Quantum Oscillator”, Lobachevskii J. Math., 41:4, SI (2020), 676–685
Sakbaev V.Zh., Tsoy N.V., “Analogue of Chernoff Theorem For Cylindrical Pseudomeasures”, Lobachevskii J. Math., 41:12, SI (2020), 2369–2382
A. A. Kislitsyn, A. B. Kozlova, M. B. Korsakova, Yu. N. Orlov, “Disorder indicator for nonstationary stochastic processes”, Dokl. Math., 99:1 (2019), 57–59
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman Formulas and the Law of Large Numbers for Random One-Parameter Semigroups”, Proc. Steklov Inst. Math., 306 (2019), 196–211
Yu. N. Orlov, A. A. Kislitsyn, “Chernoff approximations for nonstationary random walk modeling”, Lobachevskii J. Math., 40:12 (2019), 2095–2102
Yu. N. Orlov, A. A. Kislitsyn, “Nonstationary stochastic motion modeling by dynamical systems”, Proceedings of the 33Rd International Ecms Conference on Modelling and Simulation (Ecms 2019), Communications of the Ecms, 33, no. 1, eds. M. Iacono, F. Palmieri, M. Gribaudo, M. Ficco, European Council Modelling & Simulation, 2019, 466–472
L. S. Efremova, A. D. Grekhneva, V. Zh. Sakbaev, “Phase flows generated by Cauchy problem for nonlinear Schrodinger equation and dynamical mappings of quantum states”, Lobachevskii J. Math., 40:10, SI (2019), 1455–1469

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

Statistics & downloads:
Abstract page:	795
Full-text PDF :	251
References:	126

Что такое QR-код?

Registration to the website

Logotypes