On real resonances for three-dimensional Schrödinger operators with point interactions

Abstract

We prove the absence of positive real resonances for Schrödinger operators with finitely many point interactions in R3 and we discuss such a property from the perspective of dispersive and scattering features of the associated Schrodinger propagator.

Keywords

• point interactions
• singular perturbations of the laplacian
• positive resonances
• limiting absorption principle
• definite positive functions