Heisenberg model in pseudo-Euclidean spaces

@article{Jovanovic2014HeisenbergMI,
  title={Heisenberg model in pseudo-Euclidean spaces},
  author={B. Jovanovic},
  journal={Regular and Chaotic Dynamics},
  year={2014},
  volume={19},
  pages={245-250}
}
  • B. Jovanovic
  • Published 2014
  • Physics, Mathematics
  • Regular and Chaotic Dynamics
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. 
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