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

• Authors: Axel Schulze-Halberg
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

Time-dependent Schrödinger equation; effective mass; form-preserving transformation; exact solutions; PACS (2003); 03.65.Ge

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2005
• Volume: 3
• Issue: 4
• Pages: 591-609

Dates

published

1 - 12 - 2005

online

1 - 12 - 2005

Contributors

author

Axel Schulze-Halberg

• Department of Mathematics, Swiss Federal Institute of Technology Zürich (ETH), ETH-Zentrum HG E 18.4, CH-8092, Zürich, Switzerland

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Identifiers

DOI

10.2478/BF02475615