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

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

2000-08-22

arxiv.org/abs/math-ph/0008031v1

Lett. Math. Phys. 55 (2001), 9-16

Physics

Mathematical Physics

LaTeX 2e, 10 pages

Scientific paper

10.1023/A:1010943228970

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.

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