On complex perturbations of infinite band Schrodinger operators

Abstract

We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of convergence of the discrete spectrum of the perturbed operator to the joint essential spectrum of both operators.

11 pages, 1 figure, submitted to Methods of Functional Analysis and Topology

References in corpus (1)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials

Cited by in corpus (1)

• Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene