Article ID Journal Published Year Pages File Type
1894306 Journal of Geometry and Physics 2009 7 Pages PDF
Abstract

We consider a magnetic Laplacian −ΔA=(id+A)⋆(id+A)−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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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