Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid
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Date
2007
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Abstract
The propagator relating to the evolution of a particle on the D-sphere and the D-pseudosphere,
subjected to the Coulomb potential, was reconsidered in the Faddeev–Senjanovic formalism. The
mid-point is privileged. The space–time transformations used make it possible to regularize the singularity
and to bring back the problem to its dynamical symmetry SU(1, 1)