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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}
Linking options:
  • https://www.mathnet.ru/eng/mzm6807
  • https://www.mathnet.ru/eng/mzm/v5/i1/p55
    • This publication is cited in the following 3 articles:
    1. A. I. Aptekarev, A. L. Afendikov, F. I. Ataullakhanov, N. K. Balabaev, V. N. Biktashev, I. V. Biktasheva, R. M. Borisyuk, N. D. Vvedenskaya, R. D. Dagkesamanskii, Yu. G. Zarkhin, Yu. S. Ilyashenko, V. D. Lakhno, V. Yu. Lunin, N. L. Lunina, E. V. Nikolaev, V. S. Posvyanskii, M. A. Roitberg, V. S. Ryaben'kii, L. B. Ryashko, Ya. G. Sinai, V. M. Tikhomirov, A. A. Tokarev, A. G. Urzhumtsev, A. I. Khibnik, “To the memory of Èmmanuil Èl'evich Shnol'”, Russian Math. Surveys, 72:1 (2017), 185–198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. V. I. Arnol'd, R. M. Borisyuk, I. M. Gel'fand, Yu. S. Ilyashenko, V. Yu. Lunin, E. V. Nikolaev, Yu. B. Radvogin, M. A. Roitberg, Ya. G. Sinai, A. I. Khibnik, “Emmanuil El'evich Shnol' (on his 70th birthday)”, Russian Math. Surveys, 54:3 (1999), 677–683  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. È. È. Shnol', “On groups that correspond to the simplest problems of classical mechanics”, Theoret. and Math. Phys., 11:3 (1972), 557–564  mathnet  crossref  mathscinet  zmath
    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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