Coherent States for Tremblay-Turbiner-Winternitz Potential

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SUCU Y., Unal N.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, cilt.8, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3842/sigma.2012.093
  • Dergi Adı: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Tremblay-Turbiner-Winternitz potential, generalized harmonic oscillator, non-central potential, coherent state, INTEGRABLE SYSTEMS, QUANTUM, MECHANICS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.