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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Incompatibility of the Aharonov-Bohm effect with the quantum laws

P. Bocchieri, A. Loinger

Published Dec 1, 1982• 12 citations
Publisher
DOI
10.1007/bf02817287

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We investigate the role of Faraday's law of induction manifested in the quantum state of Aharonov-Bohm (AB) loops. In particular, a flux-switching experiment is proposed for a double-dot AB loop to verify the phase shift induced by Faraday's law. The induced Faraday phase is shown to be geometric and nontopological. This study demonstrates that the relation between the local phases of a ring at different fluxes is not arbitrary but is instead determined by Faraday's inductive law, which is in contrast to the arbitrary local phase of an AB loop for a given flux.