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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 11, Number 3, Pages 344–353 (Mi tmf2874)  

This article is cited in 1 scientific paper (total in 3 paper)

On groups that correspond to the simplest problems of classical mechanics

È. È. Shnol'
References:
Abstract: The following questions are discussed: 1) what is the maximum possible complexity of a finite-dimensional group $\mathscr{G}$ of “latent” symmetry? 2) does the existence of a complete set of single-valued integrals of motion always imply the existence of a nontrivial group $\mathscr{G}$? The impossibility of essential extension of the groups $\mathscr{G}$ for known examples is proved; a negative answer is given to the second question.
Received: 25.05.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 11, Issue 3, Pages 557–564
DOI: https://doi.org/10.1007/BF01028372
Bibliographic databases:
Language: Russian
Citation: È. È. Shnol', “On groups that correspond to the simplest problems of classical mechanics”, TMF, 11:3 (1972), 344–353; Theoret. and Math. Phys., 11:3 (1972), 557–564
Citation in format AMSBIB
\Bibitem{Shn72}
\by \`E.~\`E.~Shnol'
\paper On groups that correspond to the simplest problems of classical mechanics
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 344--353
\mathnet{http://mi.mathnet.ru/tmf2874}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475376}
\zmath{https://zbmath.org/?q=an:0241.70025}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 557--564
\crossref{https://doi.org/10.1007/BF01028372}
Linking options:
  • https://www.mathnet.ru/eng/tmf2874
  • https://www.mathnet.ru/eng/tmf/v11/i3/p344
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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