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

Pavel Exner Vladimir A Geyler

TBD mathscidoc:1910.43159

Physics Letters A, 276, 16-18, 2000.10
We consider a two-dimensional particle of charge e interacting with a homogeneous magnetic field 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 sgn e times the number of flux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum effect since the corresponding Hannay angle is zero.
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@inproceedings{pavel2000berry,
  title={Berry phase for a potential well transported in a homogeneous magnetic field},
  author={Pavel Exner, and Vladimir A Geyler},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131822386198688},
  booktitle={Physics Letters A},
  volume={276},
  pages={16-18},
  year={2000},
}
Pavel Exner, and Vladimir A Geyler. Berry phase for a potential well transported in a homogeneous magnetic field. 2000. Vol. 276. In Physics Letters A. pp.16-18. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131822386198688.
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