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arXiv:1110.6169quant-ph

On the role of potentials in the Aharonov-Bohm effect

Lev Vaidman

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Abstract

There is a consensus today that the the main lesson of the Aharonov-Bohm effect is that a picture of electromagnetism based on the local action of the field strengths is not possible in quantum mechanics. Contrary to this statement it is argued here that when the source of the electromagnetic potential is treated in the framework of quantum theory, the Aharonov-Bohm effect can be explained without the notion of potentials. It is explained by local action of the field of the electron on the source of the potential. The core of the Aharonov-Bohm effect is the same as the core of quantum entanglement: the quantum wave function describes all systems together.

arXiv comments
Presentation of the result is revised according to the comments of 5 referees. To be published as Rapid Communication in PRA
Journal reference
DOI
doi:10.1103/PhysRevA.86.040101
Subjects
quant-phQuantum Physics

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  1. Quantum particles can feel the influence of gravitational fields 1 comment

    • Some argue that it's neither a non-local interaction (the test particle being affected despite no field in its region) nor that the interaction is caused by the four-potential, which would then be physical and more fundamental than the field tensor. On the contrary, it may just…

      rnhmjojView on HNParent context

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