On Symmetries of Hamiltonians Describing Systems with Arbitrary Spins

On Symmetries of Hamiltonians Describing Systems with Arbitrary Spins

Michael J. Cervia, Amol V. Patwardhan, A. B. Balantekin.
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Abstract

We consider systems where dynamical variables are the generators of the SU(2) group. A subset of these Hamiltonians is exactly solvable using the Bethe ansatz techniques. We show that Bethe ansatz equations are equivalent to polynomial relationships between the operator invariants, or equivalently, between eigenvalues of those invariants.

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