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

Abstract

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

CLC Number:

O431.1

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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