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dc.contributor.authorBallesteros Castañeda, Ángel 
dc.contributor.authorNajafizade, Amene
dc.contributor.authorPanahi, Hossein
dc.contributor.authorHassanabadi, Hassan
dc.contributor.authorDong, Shi-Hai
dc.date.accessioned2024-06-18T11:44:18Z
dc.date.available2024-06-18T11:44:18Z
dc.date.issued2024-01
dc.identifier.issn0003-4916
dc.identifier.urihttp://hdl.handle.net/10259/9286
dc.description.abstractWe introduce the Dunkl–Darboux III oscillator Hamiltonian in N dimensions as a deformation of the Dunkl oscillator. This deformation is interpreted as the introduction of a non-constant curvature on the underlying space or, equivalently, as a quadratic position-dependent mass for the Dunkl oscillator. This new ND quantum model is shown to be exactly solvable, and its eigenvalues and eigenfunctions are explicitly presented. It is shown that in the 2D case both Darboux III and Dunkl oscillators can be coupled with a constant magnetic field, thus giving rise to two new quantum integrable systems in which the effect of the deformation and of the Dunkl derivatives on the Landau levels can be studied. Finally, the full 2D Dunkl–Darboux III oscillator is coupled with the magnetic field and shown to define an exactly solvable Hamiltonian, where the interplay between the deformation and the magnetic field is explicitly illustrated.en
dc.description.sponsorshipThe authors thank the referees for thoroughly reading our manuscript and for constructive suggestions that improved the original version of this paper. A. B. has been partially supported by Agencia Estatal de Investigación (Spain) under grant PID2019-106802GB-I00/AEI/10.13039/501100011033, by the Q-CAYLE Project funded by the Regional Government of Castilla y León (Junta de Castilla y León), Spain and by the Ministry of Science and Innovation MICIN, Spain through the European Union funds NextGenerationEU (PRTR C17.I1). SH. D. acknowledges support from grant 20220355-SIP-IPN, Mexico. SH. D. started this work on sabbatical leave from IPN, Mexico. A. N. would like to thank the members of the Mathematical Physics Research Group of the University of Burgos for their kind assistance and hospitality.en
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherElsevieren
dc.relation.ispartofAnnals of Physics. 2024, V. 460, 169543en
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDarboux III oscilatoren
dc.subjectDunkl derivativeen
dc.subjectCurvatureen
dc.subjectIntegrable deformationen
dc.subjectExact solutionsen
dc.subjectLandau levelsen
dc.subject.otherFísica matemáticaes
dc.subject.otherMathematical physicsen
dc.titleThe Dunkl oscillator on a space of nonconstant curvature: An exactly solvable quantum model with reflectionsen
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.relation.publisherversionhttps://doi.org/10.1016/j.aop.2023.169543es
dc.identifier.doi10.1016/j.aop.2023.169543
dc.journal.titleAnnals of Physicsen
dc.volume.number460es
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones


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