Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid

摘要

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). (c) 2006 Elsevier Inc. All rights reserved.