An improvement of the asymptotic iteration method for exactly solvable eigenvalue problems
CHINESE PHYSICS LETTERS, vol.24, no.11, pp.3028-3031, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 24 Issue: 11
- Publication Date: 2007
- Doi Number: 10.1088/0256-307x/24/11/004
- Journal Name: CHINESE PHYSICS LETTERS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.3028-3031
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: No
Abstract
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.