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- Title
D-dimensional Smorodinsky-Winternitz potential: Coherent state approach.
- Authors
Ünal, Nuri
- 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 2 D 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.
- Subjects
POTENTIAL theory (Physics); COHERENT states; HARMONIC oscillators; PHASE transitions; PARTICLES (Nuclear physics); HYPERSPHERICAL method
- Publication
Physics of Atomic Nuclei, 2013, Vol 76, Issue 10, p1301
- ISSN
1063-7788
- Publication type
Article
- DOI
10.1134/S1063778813090202