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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access December 1, 2005

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

  • Axel Schulze-Halberg EMAIL logo
From the journal Open Physics


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.

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Published Online: 2005-12-1
Published in Print: 2005-12-1

© 2005 Versita Warsaw

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