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arXiv quant-ph/9506038quant-ph
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势效应:单连通区域的Aharonov-Bohm效应

Potential Effect: Aharonov-Bohm Effect of Simply Connected Region

Jùn Líu

摘要:

我们研究了Aharonov-Bohm效应的一个推广,即势效应。重点讨论了单连通区域的无场效应,这一区域显然不可能有任何局部场通量。在已发表的关于这类效应的讨论中,普遍认为由于规范不变性,这类效应不存在。然而,也有观点认为这种效应是Aharonov-Bohm效应的一个微小变化,因此没有必要检查它的存在。据我所知,它从未被测试过。我在这里的第一个目标是提供足够的理论理由来激励对这种效应的实验测试。我从一个直观的推导开始,然后引入波前理论作为理论考虑。从逻辑上讲,势效应的存在必然意味着AB效应的存在,但AB效应的存在并不意味着势效应的存在。本文的目的是提供一个相反方向的物理连接。

英文摘要:

We study a generalization of Aharonov-Bohm effect, the potential effect. The discussion is focused on field-free effects in simply connected region, which obviously can not have any local field-flux. Among the published discussions about this kind of effects, it is generally agreed that this kind of effects does not exist due to gauge invariance. However, there are also opinions that this effect is a trivial variation of Aharonov-Bohm effect and therefore there is no need to check its existence. To my knowledge, it has never been tested. My first goal here is to supply enough theoretical reason to motivate the experimental test of this effect. I start with an intuitive derivation, then I introduce a wave-front theory as a theoretical consideration. Logically, the existence of potential effect implies the existence of the AB effect, but not vice versa. The purpose of this paper is to provide a physical connection in the opposite direction.

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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