Superintegrability of generalized Calogero models with oscillator or Coulomb potential

Hakobyan, Tigran; Lechtenfeld, Olaf; Nersessian, Armen

dc.identifier.uri	http://dx.doi.org/10.15488/5109
dc.identifier.uri	https://www.repo.uni-hannover.de/handle/123456789/5153
dc.contributor.author	Hakobyan, Tigran
dc.contributor.author	Lechtenfeld, Olaf
dc.contributor.author	Nersessian, Armen
dc.date.accessioned	2019-07-09T06:31:59Z
dc.date.available	2019-07-09T06:31:59Z
dc.date.issued	2014
dc.identifier.citation	Hakobyan, T.; Lechtenfeld, O.; Nersessian, A.: Superintegrability of generalized Calogero models with oscillator or Coulomb potential. In: Physical Review D 90 (2014) Nr. 10, 101701(R). DOI: https://doi.org/10.1103/PhysRevD.90.101701
dc.description.abstract	We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge–Lenz vector.	eng
dc.language.iso	eng
dc.publisher	College Park (Maryland) : American Physical Society
dc.relation.ispartofseries	Physical Review D
dc.rights	Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject	Coulomb systems	eng
dc.subject	Runge–Lenz vector	eng
dc.subject.ddc	530 \| Physik	ger
dc.title	Superintegrability of generalized Calogero models with oscillator or Coulomb potential	eng
dc.type	Article
dc.type	Text
dc.relation.essn	1089-4918
dc.relation.essn	1550-2368
dc.relation.essn	2470-0029
dc.relation.issn	0556-2821
dc.relation.issn	1550-7998
dc.relation.doi	https://doi.org/10.1103/PhysRevD.90.101701
dc.bibliographicCitation.issue	10
dc.bibliographicCitation.volume	90
dc.bibliographicCitation.firstPage	101701(R)
dc.description.version	publishedVersion
tib.accessRights	frei zug�nglich