The symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model

Simple item page
dc.creatorBonatsos, Dennis
dc.creatorDaskaloyannis, C.
dc.creatorKolokotronis, P.
dc.creatorLenis, D.
dc.date1994-11-29
dc.date.accessioned2026-07-07T04:20:50Z
dc.date.available2026-07-07T04:20:50Z
dc.descriptionThe symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies is constructed by a method of general applicability to quantum superintegrable systems. The special case of the 3-dim oscillator is studied in more detail, because of its relevance in the description of superdeformed nuclei and nuclear and atomic clusters. In this case the symmetry algebra turns out to be a nonlinear extension of the u(3) algebra. A generalized angular momentum operator useful for labeling the degenerate states is constructed, clarifying the connection of the present formalism to the Nilsson model in nuclear physics.
dc.description17 pages, LaTeX twice
dc.identifierhttps://arxiv.org/abs/hep-th/9411218
dc.identifierhttp://arxiv.org/abs/hep-th/9411218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54086
dc.subjectHigh Energy Physics - Theory
dc.titleThe symmetry algebra of the N-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model
dc.typetext

Files

Collections

arXiv