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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.

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