Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-30
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 5 pages, revtex, no figures
Scientific paper
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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