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.

  • 通常所谓的量子包络代数可以在经典Poisson括号的意义下实现,以谐振子系统为例,给出U_q(SU(2))的这种经典实现,指出这种q变形伴随着相空间复坐标的Beltrami变形。
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