00-320 S.A. Albeverio, P. Exner, V.A. Geyler

Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane (22K, LaTeX) 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 $\CC$.

Files: 00-320.tex