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

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    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

     
     

Number of the records: 1  

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