带电粒子在二维中心势和磁通规范场中的运动和分数角动量

以二维中心势和磁通规范势场形成的多连通空间为例，从经典和量子两方面研究了带电粒子的运动轨道和波函数，结果表明：波函数几率云的空间分布与经典轨道完全相同；此外，角动量的分数量子化可以通过量子-经典对应条件唯一确定，而磁通规范势仅使所有波函数产生一共同的拓扑相位，并不改变量子化条件。

Motion and fractional angular momentum of charged particle in two-dimensional central-scalar-potential and magnetic flux gauge field

From both classical and quantum aspects, the classical orbits and wave functions of a charged particle motion are investigated in two-dimensional central-scalar-potential as well as the gauge field of a magnetic flux multi-connected space. The result shows that the spatial patterns of the probability clouds of wave functions are in excellent agreement with classical orbits. Moreover, fractional quantization rule of angular momentum may be uniquely determined by quantum-classical correspondence. The gauge potential of a magnetic flux cannot change the quantization rule but results in a common topological phase for all wave functions in the given model.