TWISTED CLASSICAL PHASE SPACES - A CONSEQUENCE OF THE QUANTUM INDISTINGUISHABILITY OF INTERACTING SPINS

We argue that in systems with finite Hilbert spaces, the quantum-kinem atical constraint imposed by the identity of particles on the associat ed Hilbert spaces has a classical counterpart: the corresponding class ical phase spaces exhibit non-trivial topological differences dependin g on whether such particles are distinguishable or not. We show this e xplicitly in the context of the two-interacting-spin model with axial anisotropy.