Magnetic bottles on geometrically finite hyperbolic surfaces

Details Magnetic bottles on geometrically finite hyperbolic surfaces Magnetic bottles on geometrically finite hyperbolic surfaces

2008-09-05

arxiv.org/abs/0809.0967v2

Journal of Geometry and Physics 59, 7 (2009) 1079-1085

Physics

Mathematical Physics

Scientific paper

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.

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