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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 31, Number 2, Pages 250–255 (Mi tmf3007)  
This article is cited in 6 scientific papers (total in 6 papers)

Associative Hamiltonian algebras

G. K. Tolokonnikov
Full-text PDF (625 kB) Citations (6)
References:
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Abstract: Generalization to any finite number of the degrees of freedom is obtained for the following statement proved earlier [1] in the one-dimensional case: classical and quantum mechanics are the only associative canonical hamiltonian theories.
Received: 01.07.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 31, Issue 2, Pages 441–445
DOI: https://doi.org/10.1007/BF01036677
Bibliographic databases:
Language: Russian
Citation: G. K. Tolokonnikov, “Associative Hamiltonian algebras”, TMF, 31:2 (1977), 250–255; Theoret. and Math. Phys., 31:2 (1977), 441–445
Citation in format AMSBIB
\Bibitem{Tol77}
\by G.~K.~Tolokonnikov
\paper Associative Hamiltonian algebras
\jour TMF
\yr 1977
\vol 31
\issue 2
\pages 250--255
\mathnet{http://mi.mathnet.ru/tmf3007}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509922}
\zmath{https://zbmath.org/?q=an:0386.70022}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 2
\pages 441--445
\crossref{https://doi.org/10.1007/BF01036677}
Linking options:
  • https://www.mathnet.ru/eng/tmf3007
  • https://www.mathnet.ru/eng/tmf/v31/i2/p250
    • This publication is cited in the following 6 articles:
    1. G. K. Tolokonnikov, “Classification of Lie-like and other translation-invariant function algebras”, Math. Notes, 40:5 (1986), 866–872  mathnet  mathnet  crossref  isi
    2. G. K. Tolokonnikov, “Classification of nearly associative function algebras by the method of functional equations”, Math. Notes, 39:6 (1986), 438–444  mathnet  mathnet  crossref  isi
    3. G. K. Tolokonnikov, “On observable algebras of a class of associative mechanical systems”, Theoret. and Math. Phys., 63:2 (1985), 433–439  mathnet  crossref  mathscinet  zmath  isi
    4. G. K. Tolokonnikov, “Algebras of observables of nearly canonical physical theories. I”, Theoret. and Math. Phys., 60:1 (1984), 690–693  mathnet  crossref  mathscinet  zmath  isi
    5. G. K. Tolokonnikov, “Algebras of observables of nearly canonical physical theories. II”, Theoret. and Math. Phys., 61:2 (1984), 1072–1077  mathnet  crossref  mathscinet  isi
    6. G. K. Tolokonnikov, “Hamiltonian algebras”, Theoret. and Math. Phys., 37:3 (1978), 1057–1065  mathnet  crossref  mathscinet  zmath
    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:334
    Full-text PDF :124
    References:54
    First page:1
     
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