Four-dimensional double singular oscillator

dc.creatorPetrosyan, Mara
dc.date2007-08-23
dc.date.accessioned2026-07-07T11:37:01Z
dc.date.available2026-07-07T11:37:01Z
dc.descriptionThe Schrödinger equation for the four-dimensional double singular oscillator is separable in Eulerian, doble polar and spheroidal coordinates in ${\rm I R}^4$. It is shown that the coefficients for the expansion of double polar basis in terms of the Eulerian basis can be expressed through the Clebsch-Gordan coefficients of the group SU(2) analytically continued to real values of their arguments. The coefficients for the expansions of the spheroidal basis in terms of the Eulerian and double polar bases are proved to satisfy three-term recursion relations.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0708.3159
dc.identifierhttp://arxiv.org/abs/0708.3159
dc.identifierPhys.Atom.Nucl.71:1094-1101,2008
dc.identifierdoi:10.1134/S1063778808060124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199065
dc.subjectQuantum Physics
dc.titleFour-dimensional double singular oscillator
dc.typetext

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