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arXiv:0712.1514 [math-ph]AbstractReferencesReviewsResources

Magnetic bottles on the Poincaré half-plane: spectral asymptotics

Abderemane Morame, Francoise Truc

Published 2007-12-10Version 1

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.

Journal: Journal of Mathematics of Tokyo University 48, 3 (2008) p 597-616
Categories: math-ph, math.MP
Subjects: 35P20
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