Open Physics

Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions

Axel Schulze‐Halberg

Published Dec 1, 2005• 15 citations

Abstract

Abstract We study the time-dependent Schrödinger equation (TDSE) with an effective (position-dependent) mass, relevant in the context of transport phenomena in semiconductors. The most general form-preserving transformation between two TDSEs with different effective masses is derived. A condition guaranteeing the reality of the potential in the transformed TDSE is obtained. To ensure maximal generality, the mass in the TDSE is allowed to depend on time also.

DOI: 10.2478/bf02475615

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