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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
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.
Received: 14.01.2014 Accepted: 07.03.2014
Citation:
Božidar Jovanović, “Heisenberg Model in Pseudo-Euclidean Spaces”, Regul. Chaotic Dyn., 19:2 (2014), 245–250
Linking options:
https://www.mathnet.ru/eng/rcd131 https://www.mathnet.ru/eng/rcd/v19/i2/p245
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Abstract page: | 148 | References: | 37 |
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