Gao, Shan (2025) Generalized Aharonov-Bohm Effect: Its Derivation, Theoretical Implications and Experimental Tests. [Preprint]
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Abstract
The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics. While extensively studied in the static case, the impact of a time-varying magnetic flux on the electron's phase shift remains an open and debated question. In this paper, we derive the AB phase shift for a time-dependent magnetic vector potential and show that it is proportional to the time average of enclosed magnetic flux. Our analysis reveals that the AB phase is continuously accumulated as the electron traverses its path, challenging the conventional view that it emerges instantaneously at the point of interference. This generalized AB effect may provide deeper insight into the role of gauge-dependent potentials in quantum mechanics and also suggest novel experimental tests using alternating or pulsed magnetic flux.
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| Item Type: | Preprint | ||||||
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| Keywords: | quantum mechanics; magnetic vector potential; time-varying magnetic flux; generalized Aharonov-Bohm effect; phase accumulation; gauge-dependent potentials | ||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Prof. Shan Gao | ||||||
| Date Deposited: | 11 Feb 2025 14:26 | ||||||
| Last Modified: | 11 Feb 2025 14:26 | ||||||
| Item ID: | 24726 | ||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 11 February 2025 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/24726 |
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