Speaker
Prof.
Douglas Singleton
(California State University, Fresno)
Description
We discuss two possible covariant generalizations of the Aharonov–Bohm effect – one expression in terms of the space–time line integral of the four-vector potential and the other expression in terms of the space–time “area” integral of the electric and magnetic fields written in terms of the Faraday2-form. These expressions allow one to calculate the Aharonov–Bohm effect for time-dependent situations.In particular, we use these expressions to study the case of an infinite solenoid with a time varying flux and find that the phase shift is zero due to a cancellation of the Aharonov–Bohm phase shift with a phase shift coming from the Lorentz force associated with the electric field, E = −dA/dt, outside the solenoid.This result may already have been confirmed experimentally.
| APS member ID | 60018910 |
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Primary author
Prof.
Douglas Singleton
(California State University, Fresno)
Co-author
Dr
Elias Vagenas
(Research Center for Astronomy and Applied Mathematics, Academy of Athens)
