The time-dependent, geometric method for high-energy limits and inverse scattering is applied to nonrelativistic quantum particles in external electromagnetic fields. Both the Schrödingerand the Pauli equations in R2 and R 3 are considered. The electrostatic potential A0 shall be short-range, and the magnetic field B shall decay faster than |x|−3/2. A natural class of corresponding vector poten...

This paper describes the existence and representation of certain finite energy (L-) solutions of weighted div-curl systems on bounded 3d regions with C-boundaries and mixed boundary data. Necessary compatibility conditions on the data for the existence of solutions are described. Subject to natural integrability assumptions on the data, it is then shown that there exist L-solutions whenever the...