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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 2, Pages 245–250
DOI: https://doi.org/10.1134/S1560354714020075 (Mi rcd131) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Heisenberg Model in Pseudo-Euclidean Spaces

Božidar Jovanović

Mathematical Institute SANU, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia
Citations (5)
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DOI: https://doi.org/10.1134/S1560354714020075
Abstract: We construct analogues of the classical Heisenberg spin chain model (or the discrete Neumann system), on pseudo-spheres and light-like cones in the pseudo-Euclidean spaces and show their complete Hamiltonian integrability. Further, we prove that the Heisenberg model on a light-like cone leads to a new example of the integrable discrete contact system.
Keywords: discrete Hamiltonian and contact systems, the Lax representation, complete integrability.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 174020
The research was supported by the Serbian Ministry of Science Project 174020, Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems.
Received: 14.01.2014
Accepted: 07.03.2014
Bibliographic databases:
Document Type: Article
MSC: 37J55, 37J35
Language: English
Citation: Božidar Jovanović, “Heisenberg Model in Pseudo-Euclidean Spaces”, Regul. Chaotic Dyn., 19:2 (2014), 245–250
Citation in format AMSBIB
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\by Bo{\v z}idar~Jovanovi{\'c}
\paper Heisenberg Model in Pseudo-Euclidean Spaces
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 2
\pages 245--250
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\crossref{https://doi.org/10.1134/S1560354714020075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3189260}
\zmath{https://zbmath.org/?q=an:1335.37045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334198000007}
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  • https://www.mathnet.ru/eng/rcd/v19/i2/p245
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    This publication is cited in the following 5 articles:
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    References:46
     
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