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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 31, Number 1, Pages 41–47 (Mi tmf2883)  
This article is cited in 4 scientific papers (total in 4 papers)

Path integral and quasiclassical asymptotic behavior on a Lie group

M. V. Karasev
Full-text PDF (752 kB) Citations (4)
References:
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Abstract: Solution of the Cauchy problem for the right-invariant differential operator on the Lie group is represented as a formal path integral. Finite-dimensional approximations of this integral and its quasiclassical asymptotics are written down.
Received: 11.05.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 31, Issue 1, Pages 305–309
DOI: https://doi.org/10.1007/BF01041236
Bibliographic databases:
Language: Russian
Citation: M. V. Karasev, “Path integral and quasiclassical asymptotic behavior on a Lie group”, TMF, 31:1 (1977), 41–47; Theoret. and Math. Phys., 31:1 (1977), 305–309
Citation in format AMSBIB
\Bibitem{Kar77}
\by M.~V.~Karasev
\paper Path integral and quasiclassical asymptotic behavior on a~Lie group
\jour TMF
\yr 1977
\vol 31
\issue 1
\pages 41--47
\mathnet{http://mi.mathnet.ru/tmf2883}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=464944}
\zmath{https://zbmath.org/?q=an:0354.22012|0413.22006}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 1
\pages 305--309
\crossref{https://doi.org/10.1007/BF01041236}
Linking options:
  • https://www.mathnet.ru/eng/tmf2883
  • https://www.mathnet.ru/eng/tmf/v31/i1/p41
    • This publication is cited in the following 4 articles:
    1. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, V. P. Maslov, “Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice”, J Math Sci, 31:6 (1985), 3297  crossref
    2. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, “Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras”, Theoret. and Math. Phys., 54:3 (1983), 312–314  mathnet  crossref  mathscinet  zmath  isi
    3. L. Yu. Motylev, “Transformation of the system of Maxwell equations in an inhomogeneous medium into an equation on the rotation group”, Theoret. and Math. Phys., 38:3 (1979), 241–245  mathnet  crossref  mathscinet
    4. V. P. Maslov, A. M. Chebotarev, “Jump-type processes and their applications in quantum mechanics”, J. Soviet Math., 13:3 (1980), 315–358  mathnet  mathnet  crossref
    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:414
    Full-text PDF :155
    References:69
    First page:1
     
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