INTEGRABLE SYSTEMS FOR PARTICLES WITH INTERNAL DEGREES OF FREEDOM

We show that a class of models for particles with internal degrees of freedom are integrable. These systems are basically generalizations of the models of Calogero and Sutherland. The proofs of integrability are based on a recently developed exchange operator formalism. This allows us to construct the invariants of the motion for these systems. We also calculate the wave-functions for the Calogero-like models in the ferromagnetic and antiferromagnetic regimes.