Abstract
AbstractWe establish semiclassical resolvent estimates for Schrödinger 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 Burq (Am J Math 124(4):677–735, 2002), Martinez (Ann Henri Poincaré 4:736–75, 2002) in the case of scalar Schrödinger operators.KeywordsMatrix Schrödinger operatorsSemiclassical resolvent estimatesCarleman estimatesResonance free domains
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