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Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane

Sergio A Albeverio Pavel Exner VA Geyler

TBD mathscidoc:1910.43158

Letters in Mathematical physics, 55, (1), 9-16, 2001.1
We consider a charged quantum particle living in the Lobachevsky plane and interacting with a homogeneous magnetic field perpendicular to the plane and a point interaction which is transported adiabatically along a closed loop \mathcal{C} in the plane. We show that the bound-state eigenfunction acquires at that the Berry phase equal to 2 times the number of the flux quanta through the area encircled by \mathcal{C} .
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@inproceedings{sergio2001geometric,
  title={Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane},
  author={Sergio A Albeverio, Pavel Exner, and VA Geyler},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131803033220687},
  booktitle={Letters in Mathematical physics},
  volume={55},
  number={1},
  pages={9-16},
  year={2001},
}
Sergio A Albeverio, Pavel Exner, and VA Geyler. Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane. 2001. Vol. 55. In Letters in Mathematical physics. pp.9-16. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131803033220687.
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