Gao, Shan
(2025)
Can a time varying but spatially uniform electric scalar potential shift the energy levels of a quantum system? A critical look at the new Aharonov-Bohm effect proposed by Chiao et al.
[Preprint]
Abstract
Recently Chiao and his collaborators proposed a new version of the electric Aharonov-Bohm effect [Phys. Rev. A 107, 042209 (2023)]. They argued that a quantum system confined in a Faraday cage with a time varying but spatially uniform electric scalar potential can pick up the Aharonov-Bohm phase, and the observable consequence is the energy level shift of the quantum system. In this paper, I argue that Chiao et al's analysis is problematic, and a time varying, spatially uniform electric scalar potential cannot result in observable energy level shift of quantum systems. A possible explanation of this seemingly puzzling result is also given based on the one true gauge principle.
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Can a time varying but spatially uniform electric scalar potential shift the energy levels of a quantum system? A critical look at the new Aharonov-Bohm effect proposed by Chiao et al. (deposited 07 Jan 2025 13:32)
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