Generalized linear Schrödinger equations and their Darboux transformations |
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Authors: | Axel Schulze-Halberg |
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Institution: | (1) Mathematics Department, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045 Colima, Col., Mexico |
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Abstract: | 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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Keywords: | generalized Schr?dinger equation Darboux transformation point transformation |
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