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[Untitled]
- Source :
- International Journal of Theoretical Physics. 41:839-860
- Publication Year :
- 2002
- Publisher :
- Springer Science and Business Media LLC, 2002.
-
Abstract
- The validity of Green's theorem, and hence of Stokes' theorem, when the involved vector field is differentiable but not continuously differentiable, is crucial for a theoretical explanation of the Aharonov–Bohm (A-B) effect; we review this theorem. We describe the principal bundle in which the A-B effect occurs, and give the geometrical description of the relevant connection. We study the set of gauge equivalence classes of flat connections on a product bundle with abelian structural group, and show that this set has a canonical group structure, which is isomorphic to a quotient of cohomology groups. We apply this result to the A-B bundle and calculate the holonomy groups of all flat connections.
Details
- ISSN :
- 00207748
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- International Journal of Theoretical Physics
- Accession number :
- edsair.doi...........c28561729f5142cec83b35b715ce768b
- Full Text :
- https://doi.org/10.1023/a:1015780806734