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Combined electric and magnetic Aharonov–Bohm effects
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It is well known that the electric and magnetic Aharonov–Bohm effects may be formally described on an equal footing using the four-vector potential in a relativistic framework. We give an illustrative manifestation of both effects in a single configuration in which the path of the charged particle determines the weight of the acquired electric and magnetic relative phases. The phases can be distinctively obtained in the Coulomb gauge. The examples illustrate that, although each of the relative phases is gauge dependent, their sum is gauge invariant.
American Association of Physics Teachers (AAPT)
Title: Combined electric and magnetic Aharonov–Bohm effects
Description:
It is well known that the electric and magnetic Aharonov–Bohm effects may be formally described on an equal footing using the four-vector potential in a relativistic framework.
We give an illustrative manifestation of both effects in a single configuration in which the path of the charged particle determines the weight of the acquired electric and magnetic relative phases.
The phases can be distinctively obtained in the Coulomb gauge.
The examples illustrate that, although each of the relative phases is gauge dependent, their sum is gauge invariant.
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