Polynomial solution of non-central potentials

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Ikhdair S. M., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.46, sa.10, ss.2384-2395, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 10
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10773-007-9356-8
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2384-2395
  • Anahtar Kelimeler: Schrodinger equation, energy eigenvalues and eigenfunctions, non-central potentials, Nikiforov and Uvarov method, KLEIN-GORDON EQUATION, SCHRODINGER-EQUATION, DIRAC-EQUATION, BOUND-STATES, MOTION, PARTICLE, FIELD
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.