S.A. Albeverio, P. Exner, V.A. Geyler
Geometric phase related to point-interaction transport
on a magnetic Lobachevsky plane
(22K, LaTeX)
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 $\CC$.