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

Pablo L. Saldanha
Phys. Rev. A 104, 032219 – Published 24 September 2021

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.

  • Figure
  • Received 17 November 2020
  • Revised 13 May 2021
  • Accepted 9 September 2021

DOI:https://doi.org/10.1103/PhysRevA.104.032219

©2021 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Pablo L. Saldanha*

  • Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais 31270-901, Brazil

  • *saldanha@fisica.ufmg.br

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Issue

Vol. 104, Iss. 3 — September 2021

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