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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 3, Pages 433–439 (Mi tmf5598)  
This article is cited in 3 scientific papers (total in 3 papers)

Quantization of classical lagrangian mechanics

E. I. Bogdanov

Elabuga State Pedagogical Institute
Full-text PDF (755 kB) Citations (3)
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Abstract: The equations of motion of a massive rigid body in the Lagrange–Poisson case (when one point of the body is fixed) are expressed in Hamiltonian form, making it possible to describe the Lagrangian rigid body in terms of classical mechanics. Using Berezin's quantization algorithm, it is possible to associate the Lagrangian classical mechanics with a quantum system, namely, a system of two-level particles interacting with a resonant field.
Received: 18.07.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 3, Pages 629–633
DOI: https://doi.org/10.1007/BF01017339
Bibliographic databases:
Language: Russian
Citation: E. I. Bogdanov, “Quantization of classical lagrangian mechanics”, TMF, 91:3 (1992), 433–439; Theoret. and Math. Phys., 91:3 (1992), 629–633
Citation in format AMSBIB
\Bibitem{Bog92}
\by E.~I.~Bogdanov
\paper Quantization of classical lagrangian mechanics
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 433--439
\mathnet{http://mi.mathnet.ru/tmf5598}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187022}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 629--633
\crossref{https://doi.org/10.1007/BF01017339}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KL55200008}
Linking options:
  • https://www.mathnet.ru/eng/tmf5598
  • https://www.mathnet.ru/eng/tmf/v91/i3/p433
    • This publication is cited in the following 3 articles:
    1. E. I. Bogdanov, “Integrable Systems on Phase Spaces with a Nonflat Metric”, Theoret. and Math. Phys., 129:3 (2001), 1618–1630  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. E. I. Bogdanov, “Action-angle variables in the theory of superconductivity and superfluidity phenomena”, Russ Phys J, 40:5 (1997), 465  crossref
    3. E. I. Bogdanov, “Spatially distributed classical Lagrangian mechanics”, Theoret. and Math. Phys., 101:3 (1994), 1419–1421  mathnet  crossref  mathscinet  zmath  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
    Statistics & downloads:
    Abstract page:341
    Full-text PDF :186
    References:53
    First page:1
     
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