On symmetries of Hamiltonians describing systems with arbitrary spins. (arXiv:1905.00082v1 [nucl-th])

On symmetries of Hamiltonians describing systems with arbitrary spins. (arXiv:1905.00082v1 [nucl-th])
<a href="http://arxiv.org/find/nucl-th/1/au:+Cervia_M/0/1/0/all/0/1">Michael J. Cervia</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Patwardhan_A/0/1/0/all/0/1">Amol V. Patwardhan</a>, <a href="http://arxiv.org/find/nucl-th/1/au:+Balantekin_A/0/1/0/all/0/1">A.B. Balantekin</a>

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.

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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