Geometrical approach to inverse scattering for the Dirac equation (Q2785732)

Enss and Weder solved the inverse scattering problem for Schrödinger operators of the form \(-\frac12\Delta+V\). In the high energy limit the potential can be reconstructed by the scattering operator. This is extended to both relativistic Hamiltonians of the form \(\sqrt{-\Delta+m^2}-m\) and to Dirac operators with electromagnetic fields. The field is reconstructed uniquely by the scattering data.