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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTeX 8 pages

Scientific paper

10.1088/0305-4470/37/17/013

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.

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