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  1. 2 Open Physics

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  1. 2 2008

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  1. 2 Schulze-Halberg A.

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Generalized linear Schrödinger equations and their Darboux transformations

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Schulze-Halberg A.
Open Physics
|
2008
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vol. 6
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issue 3
654-661
EN
We construct explicit Darboux transformations of arbitrary order for a class of generalized, linear Schrödinger equations. Our construction contains the well-known Darboux transformations for Schrödinger equations with position-dependent mass, Schrödinger equations coupled to a vector potential and Schrödinger equations for weighted energy.
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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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