Resonance free domain for Schrödinger operators with repulsive potential
arXiv:2304.05569
Abstract
We study resonances for the Schrödinger operators with quadratic or sub-quadratic repulsive potential. In the present paper, we show the non-existence of resonances in some complex neighborhood of a fixed energy by employing schemes of Briet-Combes-Duclos and Hunziker and by introducing a proper distortion based on, but slightly modified, positive commutator method of Mourre.
16 pages