Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane
Albeverio, S. A. ; Exner, P. ; Geyler, V. A.
arXiv, 0008031 / Harvested from arXiv
Text on arXiv
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 C 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 C.
Publié le : 2000-08-22
Classification:  Mathematical Physics,  Quantum Physics 
@article{0008031,
     author = {Albeverio, S. A. and Exner, P. and Geyler, V. A.},
     title = {Geometric phase related to point-interaction transport on a magnetic
  Lobachevsky plane},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008031}
}

Albeverio, S. A.; Exner, P.; Geyler, V. A. Geometric phase related to point-interaction transport on a magnetic
  Lobachevsky plane. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008031/