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

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.

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References in corpus (3)

• Separation of Variables. New Trends.
• Boundary K-matrices for the XYZ, XXZ AND XXX spin chains
• Separation of Variables in the Elliptic Gaudin Model

Cited by in corpus (5)

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• Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups