##### Magnetic bottles on geometrically finite hyperbolic surfaces

Review articleOpen access###### Abderemane Morame - No affiliation found

**2009/07/01**DOI: 10.1016/j.geomphys.2009.04.012

*Full-length article***Journal:**Journal of Geometry and Physics

##### Abstract:

AbstractWe consider a magnetic Laplacian −ΔA=(id+A)⋆(id+A) on a hyperbolic surface M, when the magnetic field dA is infinite at the boundary at infinity. We prove that the counting function of the eigenvalues has a particular asymptotic behavior when M has an infinite area.

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