Magnetic bottles on geometrically finite hyperbolic surfaces

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.

References in corpus (2)

• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
• Spectral analysis of magnetic Laplacians on conformally cusp manifolds

Cited by in corpus (2)

• Weyl's law for singular Riemannian manifolds
• Eigenvalues of Laplacian with constant magnetic field on non-compact hyperbolic surfaces with finite area