# 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:

- Departement de Physique, Faculte des Sciences, Universite Mentouri, 25000 Constantine (Algeria). E-mail: lecheheb@caramail.com
- Departement de Physique, Centre Universitaire de Oum-El-Bouaghi, 04000 Oum-El-Bouaghi (Algeria)
- 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}

}

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