The structure of invariants in conformal mechanics

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dc.identifier.uri Hakobyan, Tigran Karakhanyan, David Lechtenfeld, Olaf 2015-10-29T15:19:08Z 2015-10-29T15:19:08Z 2014
dc.identifier.citation Hakobyan, Tigran; Karakhanyan, David; Lechtenfeld, Olaf: The structure of invariants in conformal mechanics. In: Nuclear Physics B 886 (2014), S. 399-420. DOI:
dc.description.abstract We investigate the integrals of motion of general conformal mechanical systems with and without confining harmonic potential as well as of the related angular subsystems, by employing the sl(2,R) algebra and its representations. In particular, via the tensor product of two representations we construct new integrals of motion from old ones, both in the classical and in the quantum case. Furthermore, the temporally periodic observables (including the integrals) of the angular subsystem are explicitly related to those of the full system in a confining harmonic potential. The techniques are illustrated for the rational Calogero models and their angular subsystems, where they generalize known methods for obtaining conserved charges beyond the Liouville ones. eng
dc.description.sponsorship VolkswagenStiftung/86 260
dc.description.sponsorship Arme-nian State Committee of Science/13RF-018
dc.description.sponsorship Armenian State Committee of Science/13-1C114
dc.description.sponsorship Armenian State Committee of Science/13-1C132
dc.description.sponsorship ANSEF/3501
dc.description.sponsorship ANSEF/3122
dc.language.iso eng eng
dc.publisher Amsterdam : Elsevier Science BV
dc.relation.ispartofseries Nuclear Physics B 886 (2014)
dc.rights CC BY 3.0 Unported
dc.subject calogero-moser system eng
dc.subject n-body problems eng
dc.subject integrable systems eng
dc.subject lie-algebras eng
dc.subject hamiltonian systems eng
dc.subject quantum-mechanics eng
dc.subject sutherland model eng
dc.subject one-dimension eng
dc.subject black-holes eng
dc.subject superintegrability eng
dc.subject.ddc 530 | Physik ger
dc.title The structure of invariants in conformal mechanics eng
dc.type Article
dc.type Text
dc.relation.issn 0550-3213
dc.bibliographicCitation.volume 886
dc.bibliographicCitation.firstPage 399
dc.bibliographicCitation.lastPage 420
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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