QUANTUM-MECHANICS OF INTEGRABLE SPINS ON COADJOINT ORBITS

We investigate classical integrable spins defined on the reduced phase spaces of the coadjoint orbits of G = SU(N) group and their quantum m echanics. After discussions on a complete set of commuting functions o n each orbit and construction of integrable spin models on flag manifo lds, we quantize a concrete example of integrable spins on the SU(3) f lag manifold in the coherent state quantization scheme and solve expli citly the time-dependent Schrodinger equation.