Quantum Physics


An Approximate Non-Quantum Calculation of the Aharonov-Bohm Effect

Authors: Gary Osborn

In the Aharonov-Bohm effect for a magnetic solenoid a moving charged particle seems to be influenced by the 4-potential in a region where there are no fields in the laboratory frame of reference. The 4-potential should be transformed to the frame of reference of the particle before computing the fields. There is an E field in its frame of reference. The field accelerates a moving charged particle. One of the components of the acceleration vector is in the same direction as the particle's velocity in the first frame of reference. The resulting longitudinal displacement in the path integral, when scaled in units of the de Broglie wavelength for the particle, is approximately the same as the phase of the Aharonov-Bohm solution for long paths. The scalar solution does not require transformation. It follows from the static Coulomb solution and the Newton equations.

Comments: 7 Pages.

Download: PDF

Submission history

[v1] 2017-07-26 11:36:17
[v2] 2017-10-01 12:18:23
[v3] 2017-10-24 09:11:10

Unique-IP document downloads: 35 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus