Authors: | Jovanović, Božidar | Title: | Heisenberg model in pseudo-Euclidean spaces | Journal: | Regular and Chaotic Dynamics | Volume: | 19 | Issue: | 2 | First page: | 245 | Last page: | 250 | Issue Date: | 1-Mar-2014 | Rank: | M22 | ISSN: | 1560-3547 | DOI: | 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: | complete integrability | discrete Hamiltonian and contact systems | the Lax representation | Publisher: | Springer Link | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
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