Berry phase and Hannay's angle in the Born-Oppenheimer hybrid systems
- Liu, H. D.
- Yi, X. X.
- Fu, L. B.
DOIAbstract
In this paper, we investigate the Berry phase and Hannay's angle in the Born-Oppenheimer (BO) hybrid systems and obtain their algebraic expressions in terms of one form connection. The semiclassical relation of Berry phase and Hannay's angle is discussed. We find that, besides the usual connection term, the Berry phase of quantum BO composite system also contains a novel term brought forth by the coupling induced effective gauge potential. This quantum modification can be viewed as an effective Aharonov-Bohm effect. Moreover, the similar phenomenon is founded in Hannay's angle of classical BO composite system, which indicates that the Berry phase and Hannay's angle possess the same relation as the usual one. An example i...
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