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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 3, Pages 347–363 (Mi tmf5738)  
This article is cited in 3 scientific papers (total in 3 papers)

Methods of Weyl representation of the phase space and canonical transformations. I

V. G. Budanov
Full-text PDF (1851 kB) Citations (3)
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Abstract: The structure of the kernel of a canonical transformation and a differential equation for the symbol of the intertwining operator are found. The symbol of a general linear canonical transformation is constructed in terms of a Cayley transformation of the symplectic transformation of the phase space. Its singularities and applications to group theory are studied. The Green's functions and spectral projectors of arbitrary quadratic systems are constructed using the classification methods of classical mechanics.
Received: 16.07.1984
English version:
Theoretical and Mathematical Physics, 1984, Volume 61, Issue 3, Pages 1183–1195
DOI: https://doi.org/10.1007/BF01035002
Bibliographic databases:
Language: Russian
Citation: V. G. Budanov, “Methods of Weyl representation of the phase space and canonical transformations. I”, TMF, 61:3 (1984), 347–363; Theoret. and Math. Phys., 61:3 (1984), 1183–1195
Citation in format AMSBIB
\Bibitem{Bud84}
\by V.~G.~Budanov
\paper Methods of Weyl representation of the phase space and canonical transformations.~I
\jour TMF
\yr 1984
\vol 61
\issue 3
\pages 347--363
\mathnet{http://mi.mathnet.ru/tmf5738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=778356}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 3
\pages 1183--1195
\crossref{https://doi.org/10.1007/BF01035002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984ALJ5900003}
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  • https://www.mathnet.ru/eng/tmf5738
  • https://www.mathnet.ru/eng/tmf/v61/i3/p347
    Cycle of papers
    This publication is cited in the following 3 articles:
    1. E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Symmetry Operators of the Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Equation with a Quadratic Operator”, Russ Phys J, 56:12 (2014), 1415  crossref
    2. V. G. Budanov, “An equation for disentangling time-ordered exponentials with arbitrary quadratic generators”, Theoret. and Math. Phys., 71:3 (1987), 570–574  mathnet  crossref  mathscinet  isi
    3. V. G. Budanov, “Methods of weyl representation of the phase space and canonical transformations. II”, Theoret. and Math. Phys., 64:1 (1985), 656–666  mathnet  crossref  mathscinet  isi
    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:478
    Full-text PDF :196
    References:59
    First page:1
     
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