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Further Considerations Regarding the Aharonov-Bohm Effect and the Wavefunction of the Entire System

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Abstract

In an earlier paper it was demonstrated that the hypothesized electrostatic version of the Aharonov-Bohm (“AB”) effect does not exist. The conclusion follows straightforwardly once one recognizes that interference takes place in the configuration space of the entire system, including the experimental apparatus, and the wavefunction of the apparatus cannot be ignored. Two additional results are presented here. 1. Observations of interference that had been attributed to an analogue of the electrostatic AB effect (or “scalar effect”) are actually due to a magnetic AB effect. 2. In the original magnetic AB effect itself, there is no phase shift if it is possible effectively to shield the solenoid from the influence of the passing electron. This result is not in conflict with the landmark experiments of Tonomura and colleagues if Wang’s recent claim is correct, that superconductive shielding could not have isolated the toroidal magnet from the magnetic pulse of the passing electron.

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Acknowledgments

The author thanks Barry Torau and Nick Wiencek for technical assistance in preparing the manuscript.

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Correspondence to Allan Walstad.

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Walstad, A. Further Considerations Regarding the Aharonov-Bohm Effect and the Wavefunction of the Entire System. Int J Theor Phys 56, 965–970 (2017). https://doi.org/10.1007/s10773-016-3239-9

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  • DOI: https://doi.org/10.1007/s10773-016-3239-9

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