Lieb–Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators.

Abstract: Let and be respectively perturbations of the unperturbed Schrödinger operators on and on with constant magnetic field of strength , and V a complex relatively compact perturbation. We prove Lieb–Thirring type inequalities on the discrete spectrum of H and . In particular, these estimates give a priori information on the distribution of eigenvalues around the Landau levels of the operator, and describe how fast sequences of eigenvalues converge. [Copyright &y& Elsevier]