Magnetic bottles on the Poincaré half-plane: spectral asymptotics.

Abstract : We consider a magnetic laplacian P(A) on the Poincaré 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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Submitted on : Monday, December 10, 2007 - 3:58:46 PM
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Abderemane Morame, Francoise Truc. Magnetic bottles on the Poincaré half-plane: spectral asymptotics.. Journal of Mathematics of Kyoto University, 2008, 48 (3), p 597-616. ⟨10.1215/kjm/1250271385⟩. ⟨hal-00195370⟩

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