Inverse Scattering for a Schr■dinger Operator with a Repulsive Potential

摘要

We consider a pair of Hamiltonians (H, Ho) on L^2 (R^n), where H_0=p^2-x^2 is a Schrdingeroperator with a repulsive potential, and H=H_0+V(x). We show that, under suitable assumptions onthe decay of the electric potential, V is uniquely determined by the high energy limit of the scatteringoperator.