Modern Physics Letters A

EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

Axel Schulze‐Halberg

Published Dec 4, 2003• 2 citations

Abstract

We show that the time-dependent Schrödinger equation (TDSE) for a potential of the form V(x,t)=A(t)x2+B(t)x+C(t) and time-dependent mass can be transformed into the same TDSE with constant mass. We obtain an explicit formula relating solutions of the TDSE for time-dependent mass and for constant mass to each other.

DOI: 10.1142/s0217732303012829

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