The Aharonov-Bohm Problem Revisited

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.

30 pages, LaTeX, 4 figures

References in corpus (2)

• The Aharonov-Bohm scattering : the role of the incident wave
• Calculation of the Aharonov-Bohm wave function

Cited by in corpus (15)

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• Schrödinger operators with multiple Aharonov-Bohm fluxes
• The Aharonov-Bohm effect in a closed flux line
• Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
• Scattering on two Aharonov-Bohm vortices with opposite fluxes
• Aharonov-Bohm effect with many vortices
• The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
• Diffraction of the Aharonov-Bohm Hamiltonian
• Quantum motion in superposition of Aharonov-Bohm with some additional electromagnetic fields
• On Hydrodynamic Correlations in Low-Dimensional Interacting Systems
• Multidimensional Dirac strings and the Witten index of SYMCS theories with groups of higher rank
• On the Scattering Aharonov-Bohm effect