Quantization of the Particle Motion on the $n$-Dimensional Sphere

dc.creatorDiţă, Petre
dc.date1997-04-30
dc.date.accessioned2026-07-07T06:27:51Z
dc.date.available2026-07-07T06:27:51Z
dc.descriptionWe develop here a simple formalism that converts the second-class constraints into first-class ones for a particle moving on the $n$-dimensional sphere. The Poisson algebra generated by the Hamiltonian and the constraints closes and by quantization transforms into a Lie algebra. The observable of the theory is given by the Casimir operator of this algebra and coincides with the square of the angular momentum.
dc.descriptionLatex, 5 pages, revtex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9704207
dc.identifierhttp://arxiv.org/abs/hep-th/9704207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97533
dc.subjectHigh Energy Physics - Theory
dc.titleQuantization of the Particle Motion on the $n$-Dimensional Sphere
dc.typetext

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