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A pure geometric approach to the Aharonov–Bohm effect
Indian Journal of Physics ( IF 1.6 ) Pub Date : 2021-01-03 , DOI: 10.1007/s12648-020-01926-w
M. I. Wanas , Mona M. Kamal , Zainab A. Ismail

This article represents a possible geometric interpretation of the Aharonov–Bohm (A–B) effect. We presented a new curve in the context of Einstein–Maxwell geometry, using the Bazanski approach. In the context of the geometrization philosophy, this curve can be used as an equation of motion of a charged test particle in a combined gravitational and electromagnetic field. The new equation of motion obtained contains two extra terms more than the geodesic equation. The first contains the electromagnetic field strength, while the second term gives rise to the electromagnetic potential. Both terms represent forces affecting the acceleration of the moving charged particle in the field mentioned above. The second term gives rise to the A–B effect. Linearization of the new equation gives more physical meaning to the extra terms obtained.



中文翻译:

阿哈罗诺夫-波姆效应的纯几何方法

本文介绍了对Aharonov-Bohm(A-B)效应的可能的几何解释。我们使用Bazanski方法在爱因斯坦-麦克斯韦几何学的背景下提出了一条新曲线。在几何化原理的背景下,该曲线可用作重力和电磁场组合中带电测试粒子的运动方程。获得的新运动方程比测地线方程多包含两个额外的项。第一项包含电磁场强度,第二项包含电磁势。这两个术语代表在上述领域中影响移动的带电粒子的加速度的力。第二项引起A–B效应。新方程的线性化为所获得的额外项赋予了更多的物理意义。

更新日期:2021-01-03
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