On the time-dependent Aharonov–Bohm effect

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Abstract

The Aharonov–Bohm effect in the background of a time-dependent vector potential is re-examined for both non-relativistic and relativistic cases. Based on the solutions to the Schrodinger and Dirac equations which contain the time-dependent magnetic vector potential, we find that contrary to the conclusions in a recent paper (Singleton and Vagenas 2013 [4]), the interference pattern will be altered with respect to time because of the time-dependent vector potential.

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Jing, J., Zhang, Y. F., Wang, K., Long, Z. W., & Dong, S. H. (2017). On the time-dependent Aharonov–Bohm effect. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 774, 87–90. https://doi.org/10.1016/j.physletb.2017.09.041

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