Fractional Aharonov-Bohm effect for retarded potentials

• URL: http://arxiv.org/abs/2510.10333v1
• Date: Sat, 11 Oct 2025 20:30:51 GMT
• Title: Fractional Aharonov-Bohm effect for retarded potentials
• Authors: J. D. Franson,
• Abstract summary: The Aharonov-Bohm effect is derived using second-quantized field theory.<n>The results are in agreement with the usual expression for the Aharonov-Bohm effect when the retardation of the electromagnetic field is negligible.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the electrons in the solenoid that generates the field. Here the Aharonov-Bohm effect is derived using second-quantized field theory to describe all the electrons as well as the electromagnetic field in a consistent way. The results are in agreement with the usual expression for the Aharonov-Bohm effect when the retardation of the electromagnetic field is negligible, but they predict the possibility of a fractional phase shift when retardation effects are significant.

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