Quantum inversion theory and applications

This volume covers aspects fo Schroedinger equation inversion with the purpose of determining interaction potentials in particle, nuclear and atomic physics. It includes reviews and reports on latest developments in topical mathematics, supersymmetric quantum mechanics, inversion for fixed-l nucleon-nucleon potentials, inversion of fixed-E optical potentials and their generalizations. Also included are some topics from nonlinear differential equations relating to the Schr 'odinger or other equations of particle, nuclear, atomic and molecular physics which can be solved by inverse scattering transformations. The material collected in this volume is representative of the research status in this very rapidly growing field. Considering that about forty years have passed since the first important steps were taken in the field of quantum inversion by Gelfand, Levitan, Bargmann, Jost, Kohn, Marchenko, Krein, Moses and Newton, just to mention a few, and that applications are only now beginning to receive comprehensive attention, we expect students and young scientists to develop intensified enthusiasm for the very promising field of inversion in general. See hints under the relevant topics. (orig.)