(1) Department of Mathematics, Swiss Federal Institute of Technology Zurich (ETH), ETH-Zentrum HG E 18.4, CH-8092 Zürich, Switzerland
Abstract:
No Heading We consider Hamiltonians in (1+1) dimensions that contain linear terms in the momentum, resembling systems under the influence of a vector potential. For the time-dependent Schr?dinger equation (TDSE) associated with such Hamiltonians, we obtain the most general form-preserving transformation. This transformation is a valuable tool for tracking down solvable potentials and exact wave-functions of the TDSE.
