CLASSICAL q-DEFORMED HARMONIC OSCILLATORS AND THEIR ? QUANTIZATION
经典q变形谐振子及其?量子化

We point out that the usual quantum enveloping algebra can be realized at classical level in the sense of Poisson bracket. As an example, we give the classical realization of Uq(SU(2)) by a system of classical harmonic oscillators. We show that the q-deformation corresponds to Beltrami deformation of the complex coordinate of phase space, ? quantization of the system of the classical deformed oscillators is also discussed, Uq(SU(2)) algebra in Lie bracket obtained.