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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 30, Number 1, Pages 6–11 (Mi tmf2687)  
This article is cited in 6 scientific papers (total in 6 papers)

On admissible forms of canonical mechanics

Yu. M. Shirokov
Full-text PDF (703 kB) Citations (6)
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Abstract: General solution has been derived for the functional $c$-number equation which determines all admissible realisations of yarious mechanics with associative (but not necessary realisable by operators) law of multiplication of the observables. The general solution includes the algebras of observables for the classical and for the quantum mechanics. In addition, the solution includes one new algebra which corresponds formally to purely imaginary value fo the Planck constant. The mathematical difficulties of treating the new algebra are discussed.
Received: 28.05.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 30, Issue 1, Pages 3–6
DOI: https://doi.org/10.1007/BF01029352
Bibliographic databases:
Language: Russian
Citation: Yu. M. Shirokov, “On admissible forms of canonical mechanics”, TMF, 30:1 (1977), 6–11; Theoret. and Math. Phys., 30:1 (1977), 3–6
Citation in format AMSBIB
\Bibitem{Shi77}
\by Yu.~M.~Shirokov
\paper On admissible forms of canonical mechanics
\jour TMF
\yr 1977
\vol 30
\issue 1
\pages 6--11
\mathnet{http://mi.mathnet.ru/tmf2687}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=441107}
\zmath{https://zbmath.org/?q=an:0399.70004|0436.70002}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 1
\pages 3--6
\crossref{https://doi.org/10.1007/BF01029352}
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    • This publication is cited in the following 6 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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    Abstract page:278
    Full-text PDF :106
    References:43
    First page:1
     
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