- 00-320 S.A. Albeverio, P. Exner, V.A. Geyler
- Geometric phase related to point-interaction transport
on a magnetic Lobachevsky plane
Aug 22, 00
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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 $\CC$ 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 $\CC$.