10-109 Abderemane Morame, Francoise Truc

Eigenvalues of Laplacian with constant magnetic field on noncompact hyperbolic surfaces with finite area (201K, pdf) Jul 26, 10

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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 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 $-\Delta_A$ 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.

Files: 10-109.src( 10-109.comments , 10-109.keywords , Weyl_hyp2.pdf.mm )