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20 August 2020 The magnetic Aharonov-Bohm effect: forces and phase shifts for quantum sensor design
Keith J. Kasunic
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Proceedings Volume 11471, Quantum Nanophotonic Materials, Devices, and Systems 2020; 114710N (2020) https://doi.org/10.1117/12.2566896
Event: SPIE Nanoscience + Engineering, 2020, Online Only
Abstract
Recent experiments with the Aharonov-Bohm geometry have shown that in addition to an electron-interference fringe shift, there is also a lateral displacement of the electron diffraction envelope. In this paper, we derive an electron displacement force based on a second-order expansion of the magnetic vector potential. The analysis illustrates the conservation of canonical angular momentum, where the mechanical angular momentum and field angular momentum sum to a constant of the motion; the azimuthal force required to change the mechanical momentum is thus supplied by changes in field momentum associated with the second-order vector potential term. Our results are consistent with all known Aharonov-Bohm experiments, including interference fringe shifts, lateral displacements, and the absence of longitudinal time delays.
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Keith J. Kasunic "The magnetic Aharonov-Bohm effect: forces and phase shifts for quantum sensor design", Proc. SPIE 11471, Quantum Nanophotonic Materials, Devices, and Systems 2020, 114710N (20 August 2020); https://doi.org/10.1117/12.2566896
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KEYWORDS
Magnetism
Electromagnetism
Phase shifts
Sensors
Magnetic sensors
Electron beams
Wave propagation interference
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