Magnetic bottles on geometrically finite hyperbolic surfaces
Mathematical Physics
2015-05-13 v2 math.MP
Abstract
We consider a magnetic Laplacian on a geometrically finite hyperbolic surface, when the corresponding magnetic field is infinite at the boundary at infinity. We prove that the counting function of the eigenvalues has a particular asymptotic behaviour when the surface has an infinite area.
Cite
@article{arxiv.0809.0967,
title = {Magnetic bottles on geometrically finite hyperbolic surfaces},
author = {Abderemane Morame and Francoise Truc},
journal= {arXiv preprint arXiv:0809.0967},
year = {2015}
}