Coherent States for Tremblay-Turbiner-Winternitz Potential
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, vol.8, 2012 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 8
- Publication Date: 2012
- Doi Number: 10.3842/sigma.2012.093
- Journal Name: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Tremblay-Turbiner-Winternitz potential, generalized harmonic oscillator, non-central potential, coherent state, INTEGRABLE SYSTEMS, QUANTUM, MECHANICS
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
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.