Aharonov-Bohm effect mediated by massive photons

Fuente: arXiv
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Autore principale: Kang, Kicheon
Natura: Preprint
Pubblicazione: 2024
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author Kang, Kicheon
author_facet Kang, Kicheon
contents Virtual photons play an essential role in the locally realistic description of the Aharonov-Bohm interference. We show that the effect of virtual photons in the interferometer is manifested by a change in their spectrum. In particular, when a vacuum is confined between two ideal conducting plates, the photons obey the two-dimensional Proca equation, the wave equation with finite effective mass. This results in a short-range interaction between a test charge and a magnetic flux, and hence the Aharonov-Bohm effect is reduced exponentially at a large distance between the two bodies. On the other hand, a semiclassical description is also possible, and this raises the interesting question of how to prove the physical reality of virtual photons.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03495
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Aharonov-Bohm effect mediated by massive photons
Kang, Kicheon
Quantum Physics
Mesoscale and Nanoscale Physics
Virtual photons play an essential role in the locally realistic description of the Aharonov-Bohm interference. We show that the effect of virtual photons in the interferometer is manifested by a change in their spectrum. In particular, when a vacuum is confined between two ideal conducting plates, the photons obey the two-dimensional Proca equation, the wave equation with finite effective mass. This results in a short-range interaction between a test charge and a magnetic flux, and hence the Aharonov-Bohm effect is reduced exponentially at a large distance between the two bodies. On the other hand, a semiclassical description is also possible, and this raises the interesting question of how to prove the physical reality of virtual photons.
title Aharonov-Bohm effect mediated by massive photons
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2403.03495