An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems
Quantum Physics
2009-11-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0711.4502,
title = {An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems},
author = {I. Boztosun and M. Karakoc},
journal= {arXiv preprint arXiv:0711.4502},
year = {2009}
}
Comments
RevTex4, 8 pages