English

Heisenberg model in pseudo-Euclidean spaces

Exactly Solvable and Integrable Systems 2014-05-06 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1405.0905,
  title  = {Heisenberg model in pseudo-Euclidean spaces},
  author = {Bozidar Jovanovic},
  journal= {arXiv preprint arXiv:1405.0905},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T04:06:12.565Z