Generalized linear Schrödinger equations and their Darboux transformations

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

Abstracts

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.

Keywords

EN

generalized Schrödinger equation; Darboux transformation; point transformation

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 03.65.Ca: Formalism

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 3
• Pages: 654-661

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Axel Schulze-Halberg

• Mathematics Department, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045, Colima, Col., Mexico

References

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Identifiers

DOI

10.2478/s11534-008-0082-5