Coherent States for TremblayTurbinerWinternitz Potential
Abstract
In this study, we construct the coherent states for a particle in the TremblayTurbinerWinternitz 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.
 Publication:

SIGMA
 Pub Date:
 December 2012
 DOI:
 10.3842/SIGMA.2012.093
 arXiv:
 arXiv:1212.0078
 Bibcode:
 2012SIGMA...8..093S
 Keywords:

 TremblayTurbinerWinternitz potential;
 generalized harmonic oscillator;
 noncentral potential;
 coherent state;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 SIGMA 8 (2012), 093, 9 pages