Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum electromagnetic field
arXiv:2011.09005 · doi:10.1103/PhysRevA.104.032219
Abstract
We use a covariant formalism that is capable of describing the electric and magnetic versions of the Aharonov-Bohm effect, as well as the Aharonov-Casher effect, through local interactions of charges and currents with the quantum electromagnetic field. By considering that only local interactions of a quantum particle with the quantum field can affect its behavior, we show that the magnetic Aharonov-Bohm effect must be present even if the solenoid generating the magnetic field is shielded by a perfect conductor, as experimentally demonstrated.
arXiv comment5 pages, 1 figure. V2: The new version is focused on the Aharonov-Bohm and Aharonov-Casher effects, without general claims about quantum phases
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