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Matematicheskie Zametki, 1969, Volume 5, Issue 1, Pages 55–61 (Mi mzm6807)  
This article is cited in 1 scientific paper (total in 3 paper)

On groups acting in phase space

È. È. Shnol'

Applied Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (528 kB) Citations (3)
Abstract: The problem of the motion of a material point in a central field of general type is considered. It is shown that in the infinite-dimensional group of canonical transformations which leave the Hamiltonian function invariant there are no finite-dimensional subgroups which are significantly larger than the three-dimensional group of rotations (exact formulations in Sec. 3 and Sec. 5).
Received: 22.02.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 1, Pages 36–39
DOI: https://doi.org/10.1007/BF01098713
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: È. È. Shnol', “On groups acting in phase space”, Mat. Zametki, 5:1 (1969), 55–61; Math. Notes, 5:1 (1969), 36–39
Citation in format AMSBIB
\Bibitem{Shn69}
\by \`E.~\`E.~Shnol'
\paper On groups acting in phase space
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 1
\pages 55--61
\mathnet{http://mi.mathnet.ru/mzm6807}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=241027}
\zmath{https://zbmath.org/?q=an:0184.49802|0175.21202}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 1
\pages 36--39
\crossref{https://doi.org/10.1007/BF01098713}
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  • https://www.mathnet.ru/eng/mzm/v5/i1/p55
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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