An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems

Physics – Quantum Physics

Scientific paper

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RevTex4, 8 pages

Scientific paper

10.1088/0256-307X/24/11/004

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.

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