Aharonov--Bohm effect, flat connections, and Green's theorem

DOI10.1023/A:1015780806734zbMath1001.81031OpenAlexW75021254MaRDI QIDQ1604941

Marcelo A. Aguilar, Miguel Socolovsky

Publication date: 9 July 2002

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015780806734

zbMATH Keywords

Stokes' theoremAharonov-Bohm effectflat connectionconnectionholonomy groupabelian Higgs modelGreen's theoremfiber-bundle

Mathematics Subject Classification ID

Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Issues of holonomy in differential geometry (53C29) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (2)

Geometry of the Aharonov-Bohm effect ⋮ Exact solutions of scalar bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects

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