An improvement of the asymptotic iteration method for exactly solvable eigenvalue problems
CHINESE PHYSICS LETTERS, cilt.24, sa.11, ss.3028-3031, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 11
- Basım Tarihi: 2007
- Doi Numarası: 10.1088/0256-307x/24/11/004
- Dergi Adı: CHINESE PHYSICS LETTERS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3028-3031
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Hayır
Özet
We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there is a connection between the asymptotic iteration and the Nikiforov-Uvarov methods, which both solve the second order linear ordinary differential equations analytically.