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arXiv quant-ph/0312200quant-ph
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非局域Aharonov-Bohm效应和量子干涉引起的反常截面散射的分波分析

Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference

De-Hone Lin

摘要:

建立了任意短程势和非局域Aharonov-Bohm磁通量三维散射问题的分波理论。研究了类“硬剪切力”势与磁通量的散射过程。在低能特定的量子化磁通量处发现了一个反常的总截面,这有助于解释分数量子霍尔效应中的费米子和玻色子复合模型.由于磁通量对带电粒子的非定域量子干涉是普遍存在的,因此这种非定域效应可望出现在相当普遍的势系统中,并将有助于理解介观物理中的其他一些现象。

英文摘要:

Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at low energy which helps explain the composite fermion and boson model in the fractional quantum Hall effect. Since the nonlocal quantum interference of magnetic flux on the charged particles is universal, the nonlocal effect is expected to appear in quite general potential system and will be useful in understanding some other phenomena in mesoscopic phyiscs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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