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The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties



dc.contributor.authorDey , Sanjib
dc.contributor.authorFring , Andreas
dc.date.accessioned2017-02-09T08:16:08Z
dc.date.available2017-02-09T08:16:08Z
dc.date.issued2013
dc.identifier.citationActa Polytechnica. 2013, vol. 53, no. 3.
dc.identifier.issn1210-2709 (print)
dc.identifier.issn1805-2363 (online)
dc.identifier.urihttp://hdl.handle.net/10467/67056
dc.description.abstractThe two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms of a flat noncommutative space and employ it to study the eigenvalue spectrum for the harmonic oscillator on this space. The perturbative expression for the eigenenergy indicates that the model might possess an exceptional point at which the spectrum becomes complex and its PT-symmetry is spontaneously broken.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherČeské vysoké učení technické v Prazecs
dc.publisherCzech Technical University in Pragueen
dc.relation.ispartofseriesActa Polytechnica
dc.relation.urihttps://ojs.cvut.cz/ojs/index.php/ap/article/view/1799
dc.rightsCreative Commons Attribution 4.0 International Licenseen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectnoncommutative spaceen
dc.subjectnon-Hermitian operatorsen
dc.subject2D-systemsen
dc.titleThe Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties
dc.typearticleen
dc.date.updated2017-02-09T08:16:09Z
dc.rights.accessopenAccess
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion


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