Quantization of the Particle Motion on the n-Dimensional Sphere

1997/04/30 by Petre Diţă, Diţă, Petre
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9704207

Latex, 5 pages, revtex, no figures

arxiv created 1997/04/30 · arxiv updated 2009/11/30

Abstract

We 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.

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