Berry phase for a potential well transported in a homogeneous magnetic eld

Pavel Exner Vladimir A Geylerc

TBD mathscidoc:1910.43410

We consider a two-dimensional particle of charge e interacting with a homogeneous magnetic eld perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state corresponding to a simple isolated eigenvalue acquires at that Berry's phase equal to 2 sgne times the number of ux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum e ect since the corresponding Hannay angle is zero.
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@inproceedings{pavelberry,
  title={Berry phase for a potential well transported in a homogeneous magnetic eld},
  author={Pavel Exner, and Vladimir A Geylerc},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144043161196939},
}
Pavel Exner, and Vladimir A Geylerc. Berry phase for a potential well transported in a homogeneous magnetic eld. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144043161196939.
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