Entwicklungen Nach Streueigenelementen bei Schroedinger-Operatoren fuer Teilchen MIT Spin (Developments Related to Scattering Eigen Elements in Schroedinger Operators for Particles with Spin)

摘要

It was investigated under which conditions for the functions appearing in the Schroedinger operator, the operator has a complete system of scattering eigen elements. These elements are characterized by asymptotic conditions. The characteristics of operator and scattering eigen elements are explained. The conditions for a complete system of scattering eigen elements were deduced using a modified method of Alsholm and Schmidt; under these conditions complete wave operators also exist.