Coherent States for Tremblay-Turbiner-Winternitz Potential

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Sucu, Y., Unal, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148679
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Coherent States for Tremblay-Turbiner-Winternitz Potential / Y. Sucu, N. Unal // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 25 назв. — англ.

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 t...