Resonant Uniqueness of Radial Semiclassical Schro dinger Operators

摘要

We prove that radial, monotonic, superexponentially decaying potentials in C~∞(R~n), n≥ 1 odd, are determined by the resonances of the associated semiclassical Schro dinger operator among all superexponentially decaying potentials in C~∞(R~n).