D-dimensional Smorodinsky-Winternitz potential: Coherent state approach
PHYSICS OF ATOMIC NUCLEI, vol.76, no.10, pp.1301-1307, 2013 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 76 Issue: 10
- Publication Date: 2013
- Doi Number: 10.1134/s1063778813090202
- Journal Name: PHYSICS OF ATOMIC NUCLEI
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1301-1307
- Akdeniz University Affiliated: No
Abstract
In this study, we construct the coherent states for a particle in the D-dimensional maximally superintegrable Smorodinsky-Winternitz potential. We, first, map the system into 2D harmonic oscillators, second, construct the coherent states of them by evaluating the transition amplitudes. Third, in the Cartesian and the hyperspherical coordinates, we find the coherent states and the stationary states of the original sytem by reduction.