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Darboux Integrals for Schr\"odinger Planar Vector Fields via Darboux Transformations by Acosta-Humánez, Primitivo B.; Pantazi, Chara is a scholarly article available to read on EtoBox.

What is Darboux Integrals for Schr\"odinger Planar Vector Fields via Darboux Transformations about?

In this paper we study the Darboux transformations of planar vector fields of Schr\"odinger type. Using the isogaloisian property of Darboux transformation we prove the "invariance" of the objects of the "Darboux theory of integrability". In particular, we also show how the shape invariance property of the potential is important in order to preserve the structure of the transformed vector field. Finally, as illustration of these results, some examples of planar vector fields coming from supersymmetric quantum mechanics are studied.

Author

Acosta-Humánez, Primitivo B.; Pantazi, Chara

Published

2011

Language

EN