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

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

2007-11-28

arxiv.org/abs/0711.4502v1

Chin. Phys. Lett. 24 (11) 3028 (2007)

Physics

Quantum Physics

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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