Magnetic bottles on the Poincaré half-plane: spectral asymptotics

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We consider a magnetic laplacian P(A) on the Poincar\'e half-plane, when the
magnetic field dA is infinite at infinity such that P(A) has pure discret
spectrum. We give the asymptotic behavior of the counting function of the
eigenvalues.

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