具有线性SU（2）模糊集空间上的Poisson结构
Poisson structure on a space with linear SU(2) fuzziness
摘要：
对于位形空间的空间坐标是非交换的且满足李代数的对易关系的模型，构造了Poisson结构。这种情况是专门的SU（2），其中角动量的对应物，以及相空间的欧拉参数化。本文讨论了SU（2）不变经典系统，发现粒子的运动轨迹可由一阶方程的解求得，这与交换空间中的SU（2）不变经典系统的情况相同。自由粒子，旋转不变的潜力，特别是各向同性谐振子的例子进行了更详细的研究。
英文摘要：
The Poisson structure is constructed for a model in which spatial coordinates of configuration space are noncommutative and satisfy the commutation relations of a Lie algebra. The case is specialized to that of the group SU(2), for which the counterpart of the angular momentum, as well as the Euler parameterization of the phase space are introduced. SU(2)-invariant classical systems are discussed, and it is observed that the path of particle can be obtained by the solution of a first-order equation, as the case with such models on commutative spaces. The examples of free particle, rotationally-invariant potentials, and specially the isotropic harmonic oscillator are investigated in more detail.
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