On symmetries of Hamiltonians describing systems with arbitrary spins

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.

8 Pages of LATEX; Dedicated to the memory of E. Henley

References in corpus (2)

• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence