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

• Autorzy: Axel Schulze-Halberg
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2005
• Tom: 3
• Numer: 4
• Strony: 591-609

Daty

wydano

2005-12-01

online

2005-12-01

Twórcy

autor

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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Identyfikatory

DOI

10.2478/BF02475615