Inverse Semiclassical Scattering at Fixed Energy
We investigate inverse scattering at a fixed energy for semiclassical Schr\"odinger operators with smooth potentials. For compactly supported potentials satisfying a natural virial condition, we prove that $ \liminf_{h\to0} \|S_1(\lambda,h)-S_2(\lambda,h)\|<\sqrt{2} $ implies $V_1=V_2$, provided the fixed energy $\lamb...