Reduction of Time-Dependent Schrödinger Equations with Effective Mass to Stationary Schrödinger Equations

Axel Schulze-Halberg
2008 Research Letters in Physics  
We introduce a class of potentials for which the time-dependent Schrödinger equation with position-dependent (effective) mass allows reduction to a stationary Schrödinger equation. This reduction is done by a particular point canonical transformation which preserves L 2 -normalizability.
doi:10.1155/2008/589269 fatcat:zdmp56o5nfcgjje2l2eityrqwa