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D-dimensional Smorodinsky-Winternitz potential: Coherent state approach

  • Elementary Particles and Fields
  • Theory
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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.

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Authors and Affiliations

  1. Department of Physics, Akdeniz University, Antalya, Turkey

    Nuri Ünal

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  1. Nuri Ünal
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Correspondence to Nuri Ünal.

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The text was submitted by the author in English.

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Ünal, N. D-dimensional Smorodinsky-Winternitz potential: Coherent state approach. Phys. Atom. Nuclei 76, 1301–1307 (2013). https://doi.org/10.1134/S1063778813090202

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  • DOI: https://doi.org/10.1134/S1063778813090202

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