Coherent States for Tremblay-Turbiner-Winternitz Potential

Symmetry Integrability and Geometry-Methods and Applications

article

Yusuf SucuNuri Unal¹ 

[1] Department of Physics, Faculty of Science, Akdeniz University

关键词: Tremblay–Turbiner–Winternitz potential;    generalized harmonic oscillator;    noncentral potential;    coherent state;   

DOI  :  10.3842/SIGMA.2012.093

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown