Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 43 - 52

Superintegrable Anharmonic Oscillators on N-dimensional Curved Spaces

Authors
Angel Ballesteros, Alberto Enciso, Francisco José Herranz, Orlando Ragnisco
Corresponding Author
Angel Ballesteros
Available Online 22 October 2008.
DOI
https://doi.org/10.2991/jnmp.2008.15.s3.5How to use a DOI?
Abstract
The maximal superintegrability of the intrinsic harmonic oscillator potential on N-dimensional spaces with constant curvature is revisited from the point of view of sl(2)-Poisson coalgebra symmetry. It is shown how this algebraic approach leads to a straightforward definition of a new large family of quasi-maximally superintegrable perturbations of the intrinsic oscilla- tor on such spaces. Moreover, the generalization of this construction to those N-dimensional spaces with non-constant curvature that are endowed with sl(2)-coalgebra symmetry is pre- sented. As the first examples of the latter class of systems, both the oscillator potential on an N-dimensional Darboux space as well as several families of its quasi-maximally superinte- grable anharmonic perturbations are explicitly constructed.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 100
Pages
43 - 52
Publication Date
2008/10
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2008.15.s3.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Angel Ballesteros
AU  - Alberto Enciso
AU  - Francisco José Herranz
AU  - Orlando Ragnisco
PY  - 2008
DA  - 2008/10
TI  - Superintegrable Anharmonic Oscillators on N-dimensional Curved Spaces
JO  - Journal of Nonlinear Mathematical Physics
SP  - 43
EP  - 52
VL  - 15
IS  - supplement 3
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.5
DO  - https://doi.org/10.2991/jnmp.2008.15.s3.5
ID  - Ballesteros2008
ER  -