Intertwining Operators in Inverse Scattering

Abstract

In these notes we are going to present some technique which is a multidimensional analogue of some methods which are nowadays standard in scattering theory on the real line for the Schrodinger operator. These methods are based on the construction of operators intertwining the Schrodinger operator with the ‘free operator’ obtained when the potential term is removed. We refer to the monograph [5] by V. A. Marchenko and to the paper [6] for a detailed presentation of this technique.