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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 6, Pages 492–505
DOI: https://doi.org/10.1134/S1560354712060020 (Mi rcd417) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrable Relativistic Systems Given by Hamiltonians with Momentum-spin-orbit Coupling

Alina Dobrogowska, Anatol Odzijewicz

Institute of Mathematics, University of Bialystok, Lipowa 41, 15-424 Bialystok, Poland
Citations (4)
DOI: https://doi.org/10.1134/S1560354712060020
Abstract: In the paper we investigate evolution of the relativistic particle (massive and massless) with spin defined by Hamiltonian containing the terms with momentum-spin-orbit coupling. We integrate the corresponding Hamiltonian equations in quadratures and express their solutions in terms of elliptic functions.
Keywords: bi-Hamiltonian, integrable systems, relativistic particle, twistor space.
Received: 06.03.2012
Accepted: 10.10.2012
Bibliographic databases:
Document Type: Article
MSC: 70h06, 83C60, 37J15
Language: English
Citation: Alina Dobrogowska, Anatol Odzijewicz, “Integrable Relativistic Systems Given by Hamiltonians with Momentum-spin-orbit Coupling”, Regul. Chaotic Dyn., 17:6 (2012), 492–505
Citation in format AMSBIB
\Bibitem{DobOdz12}
\by Alina Dobrogowska, Anatol Odzijewicz
\paper Integrable Relativistic Systems Given by Hamiltonians with Momentum-spin-orbit Coupling
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 6
\pages 492--505
\mathnet{http://mi.mathnet.ru/rcd417}
\crossref{https://doi.org/10.1134/S1560354712060020}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3001096}
\zmath{https://zbmath.org/?q=an:1344.70032}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012RCD....17..492D}
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  • https://www.mathnet.ru/eng/rcd/v17/i6/p492
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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