INVERSE SCATTERING PROBLEM FOR THE SCHR(sic)ODINGER EQUATION WITH AN ADDITIONAL INCREASING POTENTIAL ON THE LINE

摘要

We study the Schr(sic)odinger equation with a potential that increases without bound at +infinity and vanishes at -infinity. We explore the direct and inverse scattering problems using the transformation operator method. The basic integral equations of the inverse problem are obtained. The basic equations are shown to be uniquely solvable.