| dc.contributor.author | Acosta Humánez, Primitivo Belén |
| dc.contributor.author | Pantazi, Chara |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2012-10-09T12:21:59Z |
| dc.date.available | 2012-10-09T12:21:59Z |
| dc.date.created | 2012-07-14 |
| dc.date.issued | 2012-07-14 |
| dc.identifier.citation | Acosta, 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.identifier.issn | 1815-0659 |
| dc.identifier.uri | http://hdl.handle.net/2117/16689 |
| dc.description.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 |
| dc.format.extent | 26 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries |
| dc.subject.lcsh | Polynomials |
| dc.subject.lcsh | Differential equations |
| dc.subject.other | Darboux theory of integrability |
| dc.subject.other | Darboux transformations |
| dc.subject.other | Differential Galois theory |
| dc.subject.other | Schrödinger equation |
| dc.subject.other | Supersymmetric quantum mechanics |
| dc.title | Darboux integrals for Schrödinger planar vector fields via Darboux transformations |
| dc.type | Article |
| dc.subject.lemac | Polinomis |
| dc.subject.lemac | Equacions diferencials |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.identifier.doi | 10.3842/SIGMA.2012.043 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::12 Field theory and polynomials::12H Differential and difference algebra |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34A General theory |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
| dc.subject.ams | Classificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory |
| dc.rights.access | Open Access |
| local.identifier.drac | 10909854 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Acosta, P.; Pantazi, C. |
| local.citation.publicationName | Symmetry, integrability and geometry: methods and applications |
| local.citation.startingPage | 1 |
| local.citation.endingPage | 26 |
