Comment on "role of potentials in the Aharonov-Bohm effect"

Yakir Aharonov, Eliahu Cohen, Daniel Rohrlich

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29 Scopus citations


Are the electromagnetic scalar and vector potentials dispensable? Vaidman [Phys. Rev. A 86, 040101(R) (2012)]PLRAAN1050-294710.1103/PhysRevA.86.040101 has suggested that local interactions of gauge-invariant quantities, e.g., magnetic torques, suffice for the description of all quantum electromagnetic phenomena. We analyze six thought experiments that challenge this suggestion. All of them have explanations in terms of local interactions of gauge-dependent quantities, and, in addition, some have explanations in terms of nonlocal interactions of gauge-invariant quantities. We claim, however, that two of our examples have no gauge-invariant formal description and that, in general, no local description can dispense with electromagnetic potentials.

Original languageEnglish
Article number026101
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - 31 Aug 2015
Externally publishedYes

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© 2015 American Physical Society.


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