COHERENT STATES, DYNAMICS AND SEMICLASSICAL LIMIT ON QUANTUM GROUPS

Coherent states on the quantum group SUq(2) are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit q → 1 is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit is emphasized. An approach to q-deformation as a q-Weyl quantization and a relevance of contact geometry in this context is pointed out. Dynamics on the quantum group parametrized by a real time variable and corresponding to classical rotations is considered.