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

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)

Authors:
 [1];  [2];  [3]
  1. Departement de Physique, Faculte des Sciences, Universite Mentouri, 25000 Constantine (Algeria). E-mail: lecheheb@caramail.com
  2. Departement de Physique, Centre Universitaire de Oum-El-Bouaghi, 04000 Oum-El-Bouaghi (Algeria)
  3. Laboratoire de Physique Theorique, Faculte des Sciences, Universite de Jijel, BP 98, Ouled Aissa, 18000 Jijel (Algeria)
Publication Date:
OSTI Identifier:
20976762
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2006.08.003; PII: S0003-4916(06)00194-1; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COULOMB FIELD; EVOLUTION; MANY-DIMENSIONAL CALCULATIONS; PATH INTEGRALS; PROPAGATOR; SINGULARITY; SPACE-TIME; SPHERES; SU-2 GROUPS; SYMMETRY; TRANSFORMATIONS

Citation Formats

Lecheheb, A., Merad, M., and Boudjedaa, T.. Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid. United States: N. p., 2007. Web. doi:10.1016/j.aop.2006.08.003.
Lecheheb, A., Merad, M., & Boudjedaa, T.. Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid. United States. doi:10.1016/j.aop.2006.08.003.
Lecheheb, A., Merad, M., and Boudjedaa, T.. Tue . "Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid". United States. doi:10.1016/j.aop.2006.08.003.
@article{osti_20976762,
title = {Path integral treatment for a Coulomb system constrained on D-dimensional sphere and hyperboloid},
author = {Lecheheb, A. and Merad, M. and Boudjedaa, T.},
abstractNote = {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)},
doi = {10.1016/j.aop.2006.08.003},
journal = {Annals of Physics (New York)},
number = 5,
volume = 322,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}