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Inverse problem for compactly supported potentials

Evgeny Korotyaev (Sankt Petersburg State University)
Seminar
Tuesday, 28 January, 2020 | 15:15–16:00 | Room G3.1
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.