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Energy level shift of quantum systems via the electric Aharonov-Bohm effect

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arxiv 2212.03437 v2 pith:6HKEPF5X submitted 2022-12-07 quant-ph hep-th

classification quant-phhep-th
keywords effectelectricaharonov-bohmquantumshiftversionenergyscalar
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A novel version of the electric Aharonov-Bohm effect is proposed where the quantum system which picks up the Aharonov-Bohm phase is confined to a Faraday cage with a time varying, spatially uniform scalar potential. The electric and magnetic fields in this region are effectively zero for the entire period of the experiment. The observable consequence of this version of the electric Aharonov-Bohmn effect is to shift the energy levels of the quantum system rather than shift the fringes of the 2-slit interference pattern. We show a strong mathematical connection between this version of the scalar electric AB effect and the AC Stark effect.

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Cited by 1 Pith paper

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  1. Signatures of modified gravity from the gravitational Aharonov-Bohm effect

    gr-qc 2025-02 reject novelty 4.0 of 10

    For a Kaluza-Klein modified gravitational potential, the gravitational Aharonov-Bohm phase produces energy-level shifts that are dominated by an assumed constant correction to Newton's constant, while the claimed new ...

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