TL;DR
This paper revisits the Aharonov-Bohm problem by analyzing a charged particle in two dimensions with multiple magnetic fluxes, revealing fluxes as dynamical entities that influence charge behavior and mimic anti-magnetic effects.
Contribution
It introduces a novel perspective by treating magnetic fluxes as dynamical objects dual to charges, expanding understanding of flux-charge interactions in quantum systems.
Findings
Fluxes act as branch points in complex coordinates.
Fluxes must be considered as dynamical objects.
Flux medium behaves like an anti-magnetic field, expelling charges.
Abstract
The properties of a nonrelativistic charged particle in two dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex coordinates. It is found that in order to construct solutions, the fluxes have to be treated in general as dynamical objects dual to the charges. A medium made up of fluxes acts like an anti-magnetic field and tends to expel the charges.
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