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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 79, Number 1, Pages 117–126 (Mi tmf4814)  
This article is cited in 5 scientific papers (total in 5 papers)

Hamiltonian dynamical systems with even and odd Poisson brackets

D. V. Volkov, A. I. Pashnev, V. A. Soroka, V. I. Tkach
Full-text PDF (1036 kB) Citations (5)
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Abstract: Using the example of the supersymmetric Witten mechanics we prove that the Hamiltonian systems with equal number of Grassmann even and Grassmann odd canonical variables are inherently characterized by the odd Poisson bracket in addition to the even one. The duality between even and odd integrals of motion under the change of the Poisson brackets parity is established for such systems.
Received: 24.08.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 79, Issue 1, Pages 424–430
DOI: https://doi.org/10.1007/BF01015783
Bibliographic databases:
Language: Russian
Citation: D. V. Volkov, A. I. Pashnev, V. A. Soroka, V. I. Tkach, “Hamiltonian dynamical systems with even and odd Poisson brackets”, TMF, 79:1 (1989), 117–126; Theoret. and Math. Phys., 79:1 (1989), 424–430
Citation in format AMSBIB
\Bibitem{VolPasSor89}
\by D.~V.~Volkov, A.~I.~Pashnev, V.~A.~Soroka, V.~I.~Tkach
\paper Hamiltonian dynamical systems with even and odd Poisson brackets
\jour TMF
\yr 1989
\vol 79
\issue 1
\pages 117--126
\mathnet{http://mi.mathnet.ru/tmf4814}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1000947}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 79
\issue 1
\pages 424--430
\crossref{https://doi.org/10.1007/BF01015783}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CA79100011}
Linking options:
  • https://www.mathnet.ru/eng/tmf4814
  • https://www.mathnet.ru/eng/tmf/v79/i1/p117
    • This publication is cited in the following 5 articles:
    1. Yu. A. Markov, M. A. Markova, N. Yu. Markov, “Hamiltonian formalism for Fermi excitations in a plasma with a non-Abelian interaction”, Int. J. Mod. Phys. A, 38:02 (2023)  crossref
    2. D.V. Soroka, V.A. Soroka, J. Wess, “Supersymmetric model with Grassmann-odd Lagrangian”, Nuclear Physics B - Proceedings Supplements, 102-103 (2001), 264  crossref
    3. V.A. Soroka, “Supersymmetry and the odd Poisson bracket”, Nuclear Physics B - Proceedings Supplements, 101:1-3 (2001), 26  crossref
    4. Dmitrij V. Soroka, Vyacheslav A. Soroka, Julius Wess, “Supersymmetric D=1, N=1 model with Grassmann-odd Lagrangian”, Physics Letters B, 512:1-2 (2001), 197  crossref
    5. Pashnev, A, “Description of the higher massless irreducible integer spins in the BRST approach”, Modern Physics Letters A, 13:23 (1998), 1853  crossref  isi
    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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    Full-text PDF :238
    References:51
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