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

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.

RevTex4, 8 pages

References in corpus (1)

• Solution of the Radial Schrödinger Equation for the Potential Family $V(r)=\frac{A}{r^2}-\frac{B}{r}+C{r}^{\kappa }$ using the Asymptotic Iteration Method

Cited by in corpus (1)

• Analytical solutions of the Bohr Hamiltonian with the Morse potential