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