Inverse and Algebraic Quantum Scattering Theory

New inverse spectral problem and its application; inverse problem on the entire line and some connected questions of spectral theory; qualitative physics in spectral, scattering and decay control; ambiguities in inversion potentials for light nuclear ion scattering; coupled-channel Marchenko Inversion in one dimension with thresholds; one-dimensional inversion in neutron and x-ray reflection; non-standard information in optical model analyses; numerical method for solving the inverse problem of quantum scattering theory; the inverse scattering problem for coupled channels with the modified Newton-Sabatier method; energy-dependent potentials obtained by IP inversion; modelling of nucleon-nucleon potentials, quantum inversion versus Meson Exchange pictures; inversion potentials for Meson-nucleon and Meson-Meson interactions; fixed-enery inversion of polarization-corrected electron-atom scattering phase-shifts into effective potentials; pion nucleus interaction from inverse scattering theory and a test of charge symmetry. (Part contents)