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On geometric interpretation of the Berry phase

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Published Article
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DOI: 10.1007/s11182-012-9715-7
arXiv ID: 1212.1782
Source
arXiv
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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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