Resolvent estimates and resonance free domains for Schr\"odinger operators with matrix-valued potentials
Mathematical Physics
2020-09-09 v1 math.MP
Spectral Theory
Abstract
We establish semiclassical resolvent estimates for Schr\"odinger operators with long-range matrix-valued potentials. As an application we prove resonance free domains both in trapping and non-trapping situations. Our results generalize the well-known results of \cite{Burq1, Martinez1} in the case of scalar Schr\"odinger operators.
Keywords
Cite
@article{arxiv.2009.03867,
title = {Resolvent estimates and resonance free domains for Schr\"odinger operators with matrix-valued potentials},
author = {Marouane Assal},
journal= {arXiv preprint arXiv:2009.03867},
year = {2020}
}