caa a22 4500 463197704 CHVBK 20180406164927.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10773-007-9410-6 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9410-6 Geometry of the Aharonov-Bohm Effect [Elektronische Daten] [R. Huerfano, M. López, M. Socolovsky] 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× G ℂ m →M, where the wave function and its covariant derivative are sections. Springer Science+Business Media, LLC, 2007 Aharonov-Bohm effect nationallicence Fibre bundle theory nationallicence Gauge invariance nationallicence Huerfano R. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogota, Colombia aut López M. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, 04510, Mexico, D.F., Mexico aut Socolovsky M. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, 04510, Mexico, D.F., Mexico aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2961-2966 0020-7748 46:11<2961 2007 46 10773 https://doi.org/10.1007/s10773-007-9410-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9410-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huerfano R. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogota, Colombia aut NATIONALLICENCE 700 1- López M. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, 04510, Mexico, D.F., Mexico aut NATIONALLICENCE 700 1- Socolovsky M. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, 04510, Mexico, D.F., Mexico aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2961-2966 0020-7748 46:11<2961 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer