Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane
Mathematical Physics
2020-01-17 v1 math.MP
Quantum Physics
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 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.
Keywords
Cite
@article{arxiv.math-ph/0008031,
title = {Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane},
author = {S. A. Albeverio and P. Exner and V. A. Geyler},
journal= {arXiv preprint arXiv:math-ph/0008031},
year = {2020}
}
Comments
LaTeX 2e, 10 pages