English

Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum electromagnetic field

Quantum Physics 2021-09-29 v2

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.

Keywords

Cite

@article{arxiv.2011.09005,
  title  = {Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum electromagnetic field},
  author = {Pablo L. Saldanha},
  journal= {arXiv preprint arXiv:2011.09005},
  year   = {2021}
}

Comments

5 pages, 1 figure. V2: The new version is focused on the Aharonov-Bohm and Aharonov-Casher effects, without general claims about quantum phases

R2 v1 2026-06-23T20:19:57.578Z