English

Integrable systems on $so(4)$ related with XXX spin chains with boundaries

Exactly Solvable and Integrable Systems 2009-11-10 v1

Abstract

We consider two-site XXX Heisenberg magnets with different boundary conditions, which are integrable systems on so(4) possessing additional cubic and quartic integrals of motion. The separated variables for these models are constructed using the Sklyanin method.

Keywords

Cite

@article{arxiv.nlin/0310049,
  title  = {Integrable systems on $so(4)$ related with XXX spin chains with boundaries},
  author = {A. V. Tsiganov and O. V. Goremykin},
  journal= {arXiv preprint arXiv:nlin/0310049},
  year   = {2009}
}

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LaTeX 8 pages