Inverse problem for compactly supported potentials
(Sankt Petersburg State University)
Tuesday, 28 January, 2020
We consider Schrödinger operators with compactly supported potentials on the half line. We prove the following results about discretization of inverse scattering: If we know the value of the S-matrix on some sequence of real numbers, then we can recover the potential by a new exact formula. Moreover, this mapping is a bijection.