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dc.identifier.uri Feigin, Mikhail Lechtenfeld, Olaf Polychronakos, Alexios P. 2017-06-15T08:00:09Z 2017-06-15T08:00:09Z 2013
dc.identifier.citation Feigin, Mikhail; Lechtenfeld, Olaf; Polychronakos, Alexios P.: The quantum angular Calogero-Moser model. In: Journal of High Energy Physics 2013 (2013), Nr. 7, 162. DOI:
dc.description.abstract The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwise interactions (in a confining harmonic potential) is reduced along the radial coordinate of R-n to the 'angular Calogero-Moser model' on the sphere Sn-1 We discuss the energy spectrum of tins quantum system, its degeneracies and the eigenstates. The spectral flow with the coupling parameter yields isospectrality for integer increments. Decoupling the center of mass before effecting the spherical reduction produces a 'relative angular Calogero-Moser which is analyzed in parallel. We generalize our considerations to the Calogero-Moser models associated with Coxeter groups. Finally, we attach spin degrees of freedom to our particles and extend the results to the spin-Calogero system. eng
dc.description.sponsorship RFBR/JP101196/11-01-92612
dc.description.sponsorship Volkswagen Foundation/I/84 496
dc.description.sponsorship DFG/LE 838/12-1
dc.description.sponsorship National Science Foundation/PHY/1213380
dc.description.sponsorship Research Foundation of CUNY/PSC-CUNY 65501-0043
dc.language.iso eng
dc.publisher New York, NY : Springer International Publishing
dc.relation.ispartofseries Journal of High Energy Physics 2013 (2013), Nr. 7
dc.rights CC BY 4.0 Unported
dc.subject Integrable Equations in Physics eng
dc.subject Integrable Field Theories eng
dc.subject action-angle variables eng
dc.subject integrable systems eng
dc.subject dynamical symmetries eng
dc.subject spherical geometry eng
dc.subject lie-algebras eng
dc.subject particles eng
dc.subject polynomials eng
dc.subject potentials eng
dc.subject.ddc 530 | Physik ger
dc.title The quantum angular Calogero-Moser model eng
dc.type article
dc.type Text
dc.relation.issn 1029-8479
dc.bibliographicCitation.issue 7
dc.bibliographicCitation.volume 2013
dc.bibliographicCitation.firstPage 162
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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