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SIGMA, 2012, Volume 8, 093, 9 pages (Mi sigma770)  

Coherent States for Tremblay–Turbiner–Winternitz Potential

Yusuf Sucu, Nuri Unal

Department of Physics, Faculty of Science, Akdeniz University, 07058 Antalya, Turkey

Abstract: In this study, we construct the coherent states for a particle in the Tremblay–Turbiner–Winternitz potential by finding the conserved charge coherent states of the four harmonic oscillators in the polar coordinates. We also derive the energy eigenstates of the potential and show that the center of the coherent states follow the classical orbits of the particle.

Keywords: Tremblay–Turbiner–Winternitz potential; generalized harmonic oscillator; non-central potential; coherent state

DOI: https://doi.org/10.3842/SIGMA.2012.093

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Full text: http://emis.mi.ras.ru/.../093
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ArXiv: 1212.0078
MSC: 81R30; 81Q05; 81Q80; 81S99
Received: July 31, 2012; in final form November 28, 2012; Published online December 1, 2012
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Citation: Yusuf Sucu, Nuri Unal, “Coherent States for Tremblay–Turbiner–Winternitz Potential”, SIGMA, 8 (2012), 093, 9 pp.

Citation in format AMSBIB
\Bibitem{SucUna12}
\by Yusuf~Sucu, Nuri~Unal
\paper Coherent States for Tremblay--Turbiner--Winternitz Potential
\jour SIGMA
\yr 2012
\vol 8
\papernumber 093
\totalpages 9
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\crossref{https://doi.org/10.3842/SIGMA.2012.093}
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