On inverse scattering problem for the Schrödinger equation with repulsive potentials

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6 Citations (Scopus)

Abstract

We study multidimensional inverse scattering for Hamiltonians with repulsive potentials. Assuming short-range conditions for the interaction potential, the high velocity limit of the scattering operator determines uniquely the short-range part, using the Enss-Weder time-dependent method (1995). This work improves on a previous result obtained by Nicoleau (2006). We can allow interaction potentials to have not only slower decays but also Coulomb-like singularities.

Original languageEnglish
Article number1.4887438
JournalJournal of Mathematical Physics
Volume55
Issue number8
DOIs
Publication statusPublished - 15 Jul 2014

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