Coherent States for Tremblay-Turbiner-Winternitz Potential

Yusuf Sucu
2012 Symmetry, Integrability and Geometry: Methods and Applications  
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.
doi:10.3842/sigma.2012.093 fatcat:7wavteytzfg7tkcy2bybbzp4oe