Any ℓ-state solutions of the Eckart potential via asymptotic iteration method

Abstract

The asymptotic iteration method is employed to calculate the any ℓ-state solutions of the Schrödinger equation with the Eckart potential by proper approximation of the centrifugal term. Energy eigenvalues and corresponding eigenfunctions are obtain explicitly. The energy eigenvalues are calculated numerically for some values of ℓ and n. Our results are in excellent agreement with the findings of other methods for short potential ranges. © 2012 Versita Warsaw and Springer-Verlag Wien.