Polynomial solution of non-central potentials
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.46, sa.10, ss.2384-2395, 2007 (SCI-Expanded, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.