Quantization of the motion of a particle on an n-dimensional sphere

Petre Diţă
Phys. Rev. A 56, 2574 – Published 1 October 1997
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Abstract

We develop here a simple formalism that converts second-class constraints into first-class ones for a particle moving on an 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.

  • Received 18 April 1997

DOI:https://doi.org/10.1103/PhysRevA.56.2574

©1997 American Physical Society

Authors & Affiliations

Petre Diţă

  • Institute of Atomic Physics, P.O. Box MG6, Bucharest, Romania

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Vol. 56, Iss. 4 — October 1997

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