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arXiv · 1405.0905

Heisenberg model in pseudo-Euclidean spaces

Bozidar Jovanovic
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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 integrable discrete contact system.

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Bozidar Jovanovic. 2014-05-05. Heisenberg model in pseudo-Euclidean spaces. https://doi.org/10.1134/s1560354714020075

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