Aharonov-Bohm effect as a diffusion phenomenon
- URL: http://arxiv.org/abs/2307.06683v2
- Date: Mon, 24 Jul 2023 06:09:58 GMT
- Title: Aharonov-Bohm effect as a diffusion phenomenon
- Authors: Charalampos Antonakos and Andreas F. Terzis
- Abstract summary: This paper presents a hydrodynamical view of the Aharonov-Bohm effect, using Nelson's formulation of quantum mechanics.
Our aim is to compare our results with other systems and gain a better understanding of the mysteries behind this effect, such as why the motion of a particle is affected in a region where there is no magnetic field.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: This paper presents a hydrodynamical view of the Aharonov-Bohm effect, using
Nelson's formulation of quantum mechanics. Our aim is to compare our results
with other systems and gain a better understanding of the mysteries behind this
effect, such as why the motion of a particle is affected in a region where
there is no magnetic field. Some theories suggest that this effect is due to
the non-local action of the magnetic field on the particle, or even the
physical significance of vector potentials over magnetic fields. Our main
purpose is to use Nelson's formulation to describe the effect and demonstrate
that it can be explained by the direct action of the current surrounding the
magnetic field region (i.e. a cylinder) on the particle outside of it. In this
context, magnetic fields and vector potentials serve as tools for finding other
fundamental quantities that arise from the interaction between two fields: the
quantum background fields described by Nelson's quantum theory. Finally, we
investigate the relationship between hidden variables and quantum fluctuations
and their role in this phenomenon.
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