0185325 - UJF-V 20010052 RIV DE eng J - Journal Article
Albeverio, S. - Exner, Pavel - Geyler, V. A.
Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane.
Letters in Mathematical Physics. Roč. 55, č. 1 (2001), s. 9-16. ISSN 0377-9017. E-ISSN 1573-0530
R&D Projects: GA AV ČR IAA1048801; GA MŠMT ME 099; GA AV ČR KSK1010104
Subject RIV: BG - Nuclear, Atomic and Molecular Physics, Colliders
Impact factor: 0.819, year: 2001

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 cal C in the plane. We show that the bound-state eigenfunction acquires at the the Berry phase equal to 2 pi times the number of the flux quanta through the area encircled by cal C.
Permanent Link: http://hdl.handle.net/11104/0081725