EXCHANGE RELATIONS AND CORRELATION-FUNCTIONS FOR A QUANTUM PARTICLE ON THE SU2 GROUP MANIFOLD

The SO4 invariant quantum dynamics of a point particle moving on the 3 sphere (or equivalently, of the relative motion of the spherical top) is considered. Quantum exchange relations for different times are der ived with an ''R matrix'' depending on the time difference and on the conserved angular momentum. Their implications for correlation functio ns are spelled out. The chiral exchange relations of Alekseev and Fadd eev [Commun. Math. Phys. 141, 413-422 (1991)] are also extended to dif ferent times.