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  1. 2 Open Physics

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  1. 1 2008

  2. 1 2005

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  1. 2 Schulze-Halberg A.

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Supersymmetry of time-dependent Schrödinger equations with effective mass

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Schulze-Halberg A.
|
EN
We establish the supersymmetry formalism for time-dependent Schrödinger equations with effective mass and show that the corresponding supersymmetric transformations are equivalent to effective mass Darboux transformations
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Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions

75%
Schulze-Halberg A.
Open Physics
|
2005
|
vol. 3
|
issue 4
591-609
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.
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