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Darboux integrals for Schrödinger planar vector fields via Darboux transformations

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hdl:2117/16689

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Acosta Humánez, Primitivo Belén
Pantazi, CharaMés informacióMés informacióMés informació
Document typeArticle
Defense date2012-07-14
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
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
CitationAcosta, P.; Pantazi, C. Darboux integrals for Schrödinger planar vector fields via Darboux transformations. "Symmetry, integrability and geometry: methods and applications", 14 Juliol 2012, p. 1-26. 
URIhttp://hdl.handle.net/2117/16689
DOI10.3842/SIGMA.2012.043
ISSN1815-0659
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  • EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions - Articles de revista [415]
  • Departament de Matemàtiques - Articles de revista [2.979]
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