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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 45, Number 3, Pages 329–345 (Mi tmf4339)  
This article is cited in 2 scientific papers (total in 2 papers)

Path integral over branching paths

V. P. Maslov, A. M. Chebotarev
Full-text PDF (1426 kB) Citations (2)
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Abstract: A heuristic definition is given of a Feynman path integral over branching paths. It is used to solve the Cauchy problem for the model Hartree equation in a closed form. A number of properties of the solution are derived from an integral representation. In particular, the quasiclassical asymptotic behavior, the exact solution in the Gaussian case, and the perturbation series are described. An existence theorem is proved for the simplest path integral over branching paths.
Received: 28.12.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 45, Issue 3, Pages 1058–1069
DOI: https://doi.org/10.1007/BF01016705
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, A. M. Chebotarev, “Path integral over branching paths”, TMF, 45:3 (1980), 329–345; Theoret. and Math. Phys., 45:3 (1980), 1058–1069
Citation in format AMSBIB
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\by V.~P.~Maslov, A.~M.~Chebotarev
\paper Path integral over branching paths
\jour TMF
\yr 1980
\vol 45
\issue 3
\pages 329--345
\mathnet{http://mi.mathnet.ru/tmf4339}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=604530}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 45
\issue 3
\pages 1058--1069
\crossref{https://doi.org/10.1007/BF01016705}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LZ77900004}
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  • https://www.mathnet.ru/eng/tmf/v45/i3/p329
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:529
    Full-text PDF :203
    References:71
    First page:5
     
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