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

S. A. Albeverio·P. Exner·V. A. Geyler
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Abstract

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 C in the plane. We show that the bound-state eigenfunction acquires at that the Berry phase equal to 2\pi times the number of the flux quanta through the area encircled by C.

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S. A. Albeverio, P. Exner, V. A. Geyler. 2000-08-22. Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane. https://doi.org/10.1023/a%3A1010943228970

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