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This article is cited in 2 scientific papers (total in 2 papers)
Heisenberg Model in Pseudo-Euclidean Spaces II
Božidar Jovanovića, Vladimir Jovanovićb a Mathematical Institute SANU, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000, Belgrade, Serbia
b Faculty of Sciences, University of Banja Luka, Mladena Stojanovića 2, 51000, Banja Luka, Bosnia and Herzegovina
Abstract:
In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light-like cones in pseudo-Euclidean spaces and virtual billiards. A geometrical interpretation of the integrals associated to a family of confocal quadrics is given, analogous to Moser’s geometrical interpretation of the integrals of the Neumann system on the sphere.
Keywords:
discrete systems with constraints, contact integrability, billiards, Neumann and Heisenberg systems.
Received: 20.09.2017 Accepted: 28.05.2018
Citation:
Božidar Jovanović, Vladimir Jovanović, “Heisenberg Model in Pseudo-Euclidean Spaces II”, Regul. Chaotic Dyn., 23:4 (2018), 418–437
Linking options:
https://www.mathnet.ru/eng/rcd331 https://www.mathnet.ru/eng/rcd/v23/i4/p418
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