On the scattering frequencies of time‐dependent potentials

摘要

AbstractThis paper discusses the scattering frequencies associated with the scalar wave equation and a time‐periodic, real, potential. It is shown that the scattering frequencies form a discrete set in the complex plane and depend continuously on the potential. Existence of the scattering frequencies is proved for periodic potentials which are perturbations of a time independent, nonnegative, potentia