The tetrahexahedric angular Calogero model

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dc.identifier.uri Correa, Francisco Lechtenfeld, Olaf 2016-07-12T08:54:20Z 2016-07-12T08:54:20Z 2015
dc.identifier.citation Correa, Francisco; Lechtenfeld, Olaf: The tetrahexahedric angular Calogero model. In: Journal of High Energy Physics 2015 (2015), Nr. 10, S. 1-29. DOI:
dc.description.abstract The spherical reduction of the rational Calogero model (of type A n−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively. eng
dc.description.sponsorship Alexander von Humboldt Foundation/CHL 1153844 STP
dc.description.sponsorship DFG/LE 838/12-1
dc.language.iso eng
dc.publisher New York : Springer
dc.relation.ispartofseries Journal of High Energy Physics 2015 (2015), Nr. 10
dc.rights CC BY 4.0 Unported
dc.subject Integrable Field Theories eng
dc.subject Conformal and WSymmetryM eng
dc.subject Discrete and Finite Symmetries eng
dc.subject Integrable Hierarchies eng
dc.subject.ddc 530 | Physik ger
dc.title The tetrahexahedric angular Calogero model eng
dc.type article
dc.type Text
dc.relation.essn 1029-8479
dc.relation.issn 1126-6708
dc.bibliographicCitation.issue 10
dc.bibliographicCitation.volume 2015
dc.bibliographicCitation.firstPage 1
dc.bibliographicCitation.lastPage 29
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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