D-dimensional Smorodinsky-Winternitz potential: Coherent state approach

Unal N.

PHYSICS OF ATOMIC NUCLEI, cilt.76, sa.10, ss.1301-1307, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1134/s1063778813090202
  • Dergi Adı: PHYSICS OF ATOMIC NUCLEI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1301-1307
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this study, we construct the coherent states for a particle in the D-dimensional maximally superintegrable Smorodinsky-Winternitz potential. We, first, map the system into 2D harmonic oscillators, second, construct the coherent states of them by evaluating the transition amplitudes. Third, in the Cartesian and the hyperspherical coordinates, we find the coherent states and the stationary states of the original sytem by reduction.