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arXiv · 0711.4502

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

I. Boztosun·M. Karakoc
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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.

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I. Boztosun, M. Karakoc. 2007-11-28. An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems. https://doi.org/10.1088/0256-307x%2F24%2F11%2F004

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