D-dimensional Smorodinsky-Winternitz potential: Coherent state approach

Journal Article · Tue Oct 15 00:00:00 EDT 2013 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778813090202· OSTI ID:22212653

Uenal, Nuri ^[1]

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1. Akdeniz University, Department of Physics (Turkey)

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.

• OSTI ID: 22212653
• Journal Information: Physics of Atomic Nuclei, Vol. 76, Issue 10; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
HARMONIC OSCILLATORS
PARTICLES
POTENTIALS
TRANSITION AMPLITUDES
TWO-DIMENSIONAL CALCULATIONS