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dc.contributor.authorAcosta Humánez, Primitivo Belén
dc.contributor.authorPantazi, Chara
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.identifier.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.
dc.description.abstractIn 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
dc.format.extent26 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries
dc.subject.lcshDifferential equations
dc.subject.otherDarboux theory of integrability
dc.subject.otherDarboux transformations
dc.subject.otherDifferential Galois theory
dc.subject.otherSchrödinger equation
dc.subject.otherSupersymmetric quantum mechanics
dc.titleDarboux integrals for Schrödinger planar vector fields via Darboux transformations
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::12 Field theory and polynomials::12H Differential and difference algebra
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34A General theory
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject.amsClassificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorAcosta, P.; Pantazi, C.
local.citation.publicationNameSymmetry, integrability and geometry: methods and applications

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