Parametric-time coherent states for Smorodinsky-Winternitz potentials
JOURNAL OF MATHEMATICAL PHYSICS, vol.48, no.12, 2007 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 48 Issue: 12
- Publication Date: 2007
- Doi Number: 10.1063/1.2824498
- Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Akdeniz University Affiliated: No
Abstract
In this study, we construct the coherent states for a particle in the Smorodinsky-Winternitz potentials, which are the generalizations of the two-dimensional Kepler problem. In the third case, the system is transformed into four ocillators and the parametric-time coherent states are constructed in two coordinate frames. In the fourth case, the system is transformed into two ocillators with the reflection symmetry and the parametric-time coherent states are constructed in two coordinate frames. (c) 2007 American Institute of Physics.