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

J4 ›› 2012, Vol. 29 ›› Issue (4): 406-410.

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

辛俊丽

运城学院物理与电子工程系，山西运城 044000

收稿日期:2012-02-28 修回日期:2012-03-27 出版日期:2012-07-28 发布日期:2012-07-01
通讯作者: 辛俊丽（1976-），女，山西运城人，讲师，从事量子-经典对应方面的理论研究工作。 E-mail:xinjunliycu@163.com
基金资助:
国家自然科学基金（11075099）

A charged particle in two-dimensional central -scalar -potential and the gauge field of a magnetic flux, fractional angular momentum

XIN Jun-li

Department of Physics and Electronic Engineering, Yuncheng University, Yuncheng 044000, China

Received:2012-02-28 Revised:2012-03-27 Published:2012-07-28 Online:2012-07-01

摘要/Abstract

摘要：

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。

关键词: 量子物理, 分数角动量, 量子-经典对应, 任意子

Abstract:

From both classical and quantum aspects, we investigate the classical orbits and wave functions of a charged particle motion 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.

Key words: quantum physics, fractional angular momentum, quantum-classical correspondence, anyon

中图分类号:

O431.1

辛俊丽. 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[J]. J4, 2012, 29(4): 406-410.

XIN Jun-li. A charged particle in two-dimensional central -scalar -potential and the gauge field of a magnetic flux, fractional angular momentum[J]. J4, 2012, 29(4): 406-410.

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