Aharonov–Bohm effect in an attractive inverse-square potential

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-02-01 DOI:10.1016/j.aop.2024.169902

J. Carvalho Veloso, K. Bakke

引用次数: 0

Abstract

We search for the Aharonov-Bohm effect for bound states when a point charge is confined to an attractive inverse-square potential. Then, we extend our discussion to the persistent currents and the revival times. In another perspective, we discuss the case in which the centrifugal term is the dominant term. In this case, we confine the point charge to two cylindrical surfaces with impenetrable potential walls and obtain the energy levels. We also discuss the Aharonov–Bohm effect for bound states and persistent currents. Finally, we calculate the revival times.

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吸引反平方势中的Aharonov-Bohm效应

当点电荷被限制在一个有吸引力的平方反势时，我们寻找束缚态的Aharonov-Bohm效应。然后，我们将讨论扩展到持续的潮流和复兴时代。从另一个角度来看，我们讨论离心项是主导项的情况。在这种情况下，我们将点电荷限制在两个具有不可穿透势壁的圆柱形表面上，并获得能级。我们还讨论了束缚态和持续电流的Aharonov-Bohm效应。最后，我们计算复兴时间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.