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dc.identifier.uri Krivonos, Sergey Lechtenfeld, Olaf Sorin, Alexander 2018-01-09T07:53:10Z 2018-01-09T07:53:10Z 2017
dc.identifier.citation Krivonos, S.; Lechtenfeld, O.; Sorin, A.: Hidden symmetries of deformed oscillators. In: Nuclear Physics B 924 (2017), S. 33-46. DOI:
dc.description.abstract We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group. In the limit of a contraction to a Schrödinger algebra, these equations reduce to a system of ordinary harmonic oscillators. We provide two clarifying examples of such deformed oscillators: one system invariant under SO(2,3) transformations, and another system featuring G2(2) symmetry. The construction of invariant actions requires adding semi-dynamical degrees of freedom; we illustrate the algorithm with the two examples mentioned. eng
dc.language.iso eng
dc.publisher Amsterdam : Elsevier B.V.
dc.relation.ispartofseries Nuclear Physics B 924 (2017)
dc.rights CC BY 4.0 Unported
dc.subject Lie algebra eng
dc.subject Schrödinger eng
dc.subject oscillator eng
dc.subject.ddc 530 | Physik ger
dc.title Hidden symmetries of deformed oscillators
dc.type article
dc.type Text
dc.relation.issn 0550-3213
dc.bibliographicCitation.volume 924
dc.bibliographicCitation.firstPage 33
dc.bibliographicCitation.lastPage 46
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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