Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika"
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Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", 1978, Volume 15, Pages 5–78 (Mi intv35)  
This article is cited in 8 scientific papers (total in 8 papers)

Jump-type processes and their applications in quantum mechanics

V. P. Maslov, A. M. Chebotarev
Full-text PDF (3662 kB) Citations (8)
Abstract: A survey is presented of mathematical methods in the theory of the Feynman path integral. Principal attention is devoted to new results making it possible to represent the solution of the Cauchy problem for the Schrödinger equation and a quasilinear equation of Hartree type in the form of the mathematical expectation of functionals on jump-type Markov processes and to use Monte Carlo methods for solving these equations. A brief survey of results on complex Markov chains is presented.
English version:
Journal of Soviet Mathematics, 1980, Volume 13, Issue 3, Pages 315–358
DOI: https://doi.org/10.1007/BF01088985
Bibliographic databases:
UDC: 987.3:512.245
Language: Russian
Citation: V. P. Maslov, A. M. Chebotarev, “Jump-type processes and their applications in quantum mechanics”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 15, VINITI, Moscow, 1978, 5–78; J. Soviet Math., 13:3 (1980), 315–358
Citation in format AMSBIB
\Bibitem{MasChe78}
\by V.~P.~Maslov, A.~M.~Chebotarev
\paper Jump-type processes and their applications in quantum mechanics
\serial Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern.
\yr 1978
\vol 15
\pages 5--78
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intv35}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=503258}
\zmath{https://zbmath.org/?q=an:0516.28016}
\transl
\jour J. Soviet Math.
\yr 1980
\vol 13
\issue 3
\pages 315--358
\crossref{https://doi.org/10.1007/BF01088985}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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