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Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Comment on "Condition for nonexistence of Aharonov-Bohm effect"

U. Klein

Published Mar 15, 1981• 13 citations
Publisher

Abstract

A recent attempt to deny the crucial role of inaccessible fields in experiments performed to test the predictions of Aharonov and Bohm is critically discussed. It is shown that these experiments may well be considered to show the reality of the Aharonov-Bohm effect even if it is correct to say that the results are completely determined by the accessible field.

DOI
10.1103/physrevd.23.1463

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Reply to “Comment on ‘Role of potentials in the Aharonov-Bohm effect’ ”

Lev Vaidman A

The preceding Comment challenged my claim that potentials might be just auxiliary mathematical tools and that they are not necessary for explaining physical phenomena. The Comment did not confront my explanation without the potentials of the Aharonov-Bohm effects that appeared in the original article, but stated that I cannot apply this explanation for seven other examples. In my reply, using my method, I provide explanations of one of the examples, show that two other examples are not relevant, and agree that the remaining examples require further analysis. However, I argue that none of the examples provides robust counterexamples to my claim, similar to the original Aharonov-Bohm setups which were explained in my article, so the Comment does not refute my claim.

arXiv:1508.00743•Physical Review A•Aug 31, 2015•34 citations

On the crucial experiments testing the existence of the Aharonov-Bohm effect

G N Afanasiev

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields•Dec 1, 1988•4 citations
A recent attempt to deny the crucial role of inaccessible fields in experiments performed to test the predictions of Aharonov and Bohm is critically discussed. It is shown that these experiments may well be considered to show the reality of the Aharonov-Bohm effect even if it is correct to say that the results are completely determined by the accessible field.
It is shown that electromagnetic effects of a vector potential on a charged particle confined to a region RRR (multiply or simply connected) are completely determined by field strengths in RRR, if the potential obeys certain conditions. Such potentials are adequate in experiments purporting to show Aharonov-Bohm effect. Therefore these experiments have not established effects of inaccessible fields.
The preceding Comment challenged my claim that potentials might be just auxiliary mathematical tools and that they are not necessary for explaining physical phenomena. The Comment did not confront my explanation without the potentials of the Aharonov-Bohm effects that appeared in the original article, but stated that I cannot apply this explanation for seven other examples. In my reply, using my method, I provide explanations of one of the examples, show that two other examples are not relevant, and agree that the remaining examples require further analysis. However, I argue that none of the examples provides robust counterexamples to my claim, similar to the original Aharonov-Bohm setups which were explained in my article, so the Comment does not refute my claim.