# Geometry of the Aharonov–Bohm Effect

@article{Huerfano2007GeometryOT, title={Geometry of the Aharonov–Bohm Effect}, author={R. S. Huerfano and M. A. L{\'o}pez and M. Socolovsky}, journal={International Journal of Theoretical Physics}, year={2007}, volume={46}, pages={2961-2966} }

Abstract
We show that the connection responsible for any Abelian or non-Abelian Aharonov–Bohm effect with n parallel “magnetic” flux lines in ℝ3, lies in a trivial G-principal bundle P→M, i.e. P is isomorphic to the product M×G, where G is any path connected topological group; in particular a connected Lie group. We also show that two other bundles are involved: the universal covering space
$\tilde{M}\to M$
, where path integrals are computed, and the associated bundle P×Gℂm→M, where the wave… Expand

#### One Citation

Mathematical Justification of the Aharonov-Bohm Hamiltonian

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