Communications in Theoretical Physics

Form-Preserving Transformations of Time-Dependent Schrödinger Equation with Time- and Position-Dependent Mass

Axel Schulze‐Halberg

Published Apr 1, 2005• 9 citations

Abstract

We study space-time transformations of the time-dependent Schrödinger equation (TDSE) with time- and position-dependent (effective) mass. We obtain the most general space-time transformation that maps such a TDSE onto another one of its kind. The transformed potential is given in explicit form.

DOI: 10.1088/0253-6102/43/4/017

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