Corpus ID: 16278939

0 70 10 50 v 1 1 8 Ja n 20 07 GEOMETRY OF THE AHARONOV-BOHM EFFECT

@inproceedings{Huerfano2007071,
  title={0 70 10 50 v 1 1 8 Ja n 20 07 GEOMETRY OF THE AHARONOV-BOHM EFFECT},
  author={R. S. Huerfano and M. A. L{\'o}pez and M. Socolovsky},
  year={2007}
}
We show that the connection responsible for any abelian or non abelian Aharonov-Bohm effect with n parallel " magnetic " flux lines in R 3 , 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˜M → M , where path integrals are computed, and the associated bundle P × G C m → M , where the wave… Expand

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