A possible interplay between electron beams and magnetic fluxes in the Aharonov–Bohm effect

doi:10.1007/s11467-015-0470-4

Front. Phys.

2015, Vol. 10

Issue (3) : 100305 https://doi.org/10.1007/s11467-015-0470-4

RESEARCH ARTICLE

A possible interplay between electron beams and magnetic fluxes in the Aharonov–Bohm effect

Wang Rui-Feng（王瑞峰）(

)

Department of Physics, Beijing Jiaotong University, Beijing 100044, China

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Abstract

Most studies on the magnetic Aharonov–Bohm (A–B) effect focus on the action exerted by the magnetic flux on the electron beam, but neglect the back-action exerted by the electron beam on the magnetic flux. This paper focuses on the latter, which is the electromotive force ΔU across the solenoid induced by the time-dependent magnetic field of the electron beam. Based on the backaction analysis, we observe that the magnetic A–B effect arises owing to the interaction energy between the magnetic field of the electron beam and the magnetic field of the solenoid. We also demonstrate that the interpretation attributing the magnetic A–B effect to the vector potential violates the uncertainty principle.

Keywords Aharonov–Bohm effect uncertainty principle superconductivity superconducting quantum interference device (SQUID)

Corresponding Author(s): Wang Rui-Feng（王瑞峰）

Issue Date: 11 June 2015

Cite this article:

Wang Rui-Feng（王瑞峰）. A possible interplay between electron beams and magnetic fluxes in the Aharonov–Bohm effect[J]. Front. Phys. , 2015, 10(3): 100305.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-015-0470-4
https://academic.hep.com.cn/fop/EN/Y2015/V10/I3/100305

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