The Klein-Gordon equation with the Kratzer potential in d dimensions

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Saad N., Hall R. L., ÇİFTCİ H.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.6, sa.3, ss.717-729, 2008 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.2478/s11534-008-0022-4
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.717-729
  • Anahtar Kelimeler: Klein-Gordon equation, relativistic wave equation, Coulomb potential, Kratzer potential, asymptotic iteration method, ASYMPTOTIC ITERATION METHOD, ANGULAR SPHEROIDAL EIGENVALUES, COULOMB POTENTIALS, SCALAR, DIRAC, EIGENENERGIES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.