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dc.contributor.authorBlanco García, Zurika
dc.contributor.authorRosas Ortiz, Óscar
dc.contributor.authorZelaya, Kevin
dc.date.accessioned2018-12-20T08:25:16Z
dc.date.available2019-06-06T23:40:12Z
dc.date.issued2018
dc.identifier.citationMathematical Methods in the Applied Sciences, 2018es
dc.identifier.issn0170-4214es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/33592
dc.descriptionProducción Científicaes
dc.description.abstractNonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of 2 different quantum systems via the Darboux method. One of the systems is assumed Hermitian, exactly solvable, with discrete energies in its spectrum. The other system is characterized by a complex‐valued potential that inherits all the energies of the former one and includes an additional real eigenvalue in its discrete spectrum. If such eigenvalue coincides with any discrete energy (or it is located between 2 discrete energies) of the initial system, its presence produces no singularities in the complex‐valued potential. Non‐Hermitian systems with spectrum that includes all the energies of either Morse or trigonometric Pöschl‐Teller potentials are introduced as concrete examples.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherWileyes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.classificationMatemáticases
dc.subject.classificationTeoría cuánticaes
dc.subject.classificationmathematicales
dc.subject.classificationQuantum theoryes
dc.titleInterplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrumes
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doihttps://doi.org/10.1002/mma.5069es
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/10.1002/mma.5069es
dc.peerreviewedSIes
dc.description.embargo2019-06-06es
dc.description.projectMinisterio de Economía, Industria y Competitividad (Project MTM2014-57129-C2-1-P)es
dc.description.projectJunta de Castilla y León (programa de apoyo a proyectos de investigación - Ref. VA057U16)es
dc.description.projectCONACyT Scholarships. Grant Numbers: 45454, 489856es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


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