Absence of Resonances for Schrodinger Operators with Non-Trapping Potentials in the Classical Limit

摘要

We provide bounds on resolvents of dilated Schrodinger operators via exterior scaling. This depends crucially on a non-trapping condition on the potential which has a clear interpretation in classical mechanics. These bounds are a powerful tool to prove absence of resonances due to the tail of the potential in the shape resonance problem. (ERA citation 11:058145)