 10109 Abderemane Morame, Francoise Truc
 Eigenvalues of Laplacian with constant magnetic field on noncompact hyperbolic surfaces with finite area
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Jul 26, 10

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Abstract. We consider a magnetic Laplacian $\Delta_A=(id+A)^\star (id+A)$
on a noncompact hyperbolic surface M with finite area.
A is a real oneform and the magnetic field dA is constant in each cusp.
When the harmonic component of A satifies some quantified condition,
the spectrum of $\Delta_A$ is discrete.
n this case we prove that the counting function of the eigenvalues of $\Delta_{A}$
satisfies the classical Weyl formula, even when dA=0.
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