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Letters in Mathematical Physics

Regularity of gauge equivalence in quantum mechanics and the Aharonov-Bohm effect

M. Asorey

Published Nov 1, 1982• 4 citations
Publisher
DOI
10.1007/bf00405862

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Based on a gauge-theoretic approach, an equivalence between the Aharonov-Bohm effect of a solenoid and the Aharonov-Casher effect of a charged rod is explicitly demonstrated. It is shown that a time-dependent Aharonov-Casher phase can induce a motive force via the SU(2)spin{)}_{\mathrm{spin}})spin​ gauge field. The intrinsic non-Abelian nature of the SU(2)spin{)}_{\mathrm{spin}})spin​ gauge field predicts the non-Abelian Faraday law, subject to further experimental verification.