Eigenvalues of Laplacian with constant magnetic field on non-compact hyperbolic surfaces with finite area
نویسنده
چکیده
Abstract We consider a magnetic Laplacian −∆A = (id + A)?(id + A) on a noncompact hyperbolic surface M with finite area. A is a real one-form and the magnetic field dA is constant in each cusp. When the harmonic component of A satifies some quantified condition, the spectrum of −∆A is discrete. In this case we prove that the counting function of the eigenvalues of −∆A satisfies the classical Weyl formula, even when dA = 0. 1
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تاریخ انتشار 2010