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On geometric interpretation of the Berry phase (1212.1782v1)
Published 8 Dec 2012 in math-ph, math.MP, and quant-ph
Abstract: A geometric interpretation of the Berry phase and its Wilczek--Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects.
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