EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN-GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL

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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.19, sa.9, ss.1425-1442, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 9
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1142/s0129183108012923
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1425-1442
  • Anahtar Kelimeler: Bound states, energy eigenvalues and eigenfunctions, Klein Gordon equation, pseudoharmonic potential, ring-shaped potential, non-central potentials, Nikiforov and Uvarov method, NIKIFOROV-UVAROV METHOD, QUANTUM-MECHANICAL OSCILLATOR, ORBITAL ANGULAR MOMENTUM, BETHE-SALPETER-EQUATION, SPIN-ZERO PARTICLE, N-EXPANSION METHOD, B-C MESON, SCHRODINGER-EQUATION, DIRAC-EQUATION, RELATIVISTIC KINEMATICS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular part of the potential becomes zero.