Eigenvalues of Laplacian with constant magnetic field on non-compact hyperbolic surfaces with finite area

Abderemane Morame, Francoise Truc

We consider a magnetic Laplacian $-{\Delta }_A=(id+A{)}^{\star }(id+A)$ on a noncompact hyperbolic surface $\mM $ with finite area. $A$ is a real one-form and the magnetic field $dA$ is consta…