A Method of Generating Exact Solutions of the TimeDependent Schrödinger Equation with TimeDependent Mass
Abstract
Extending the method presented in our previous paper,^{12} we map the timedependent Schrödinger equation (TDSE) with timedependent mass on a stationary Schrödinger equation for a nonconstant potential. On solving the latter, we can thus generate a large class of exact solutions of the original TDSE. Several examples are given, including potentials of powerlaw and modified PöschlTeller type.
 Publication:

Modern Physics Letters A
 Pub Date:
 2002
 DOI:
 10.1142/S0217732302007958
 Bibcode:
 2002MPLA...17.1567S
 Keywords:

 03.65.G;
 03.65.F