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]

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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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Item Type:	Preprint
Creators:	Creators Email ORCID Gao, Shan sgao7319@uni.sydney.edu.au
Keywords:	Aharonov-Bohm effect; electric scalar potential; choice of gauge; energy; one true gauge principle
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Prof. Shan Gao
Date Deposited:	07 Jan 2025 13:32
Last Modified:	07 Jan 2025 13:32
Item ID:	24481
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	7 January 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/24481

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