In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical results. *

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In this paper, we have studied the bounded oscillator potential for the Schrö dinger equation with the asymptotic iteration method (AIM). This work introduces a simple perturbation expansion and a new analytical expression for the energy eigenvalues. Our results have been compared with those obtained from the direct application of the AIM.

In this paper, we have studied a new bounded Coulombic potential for the Schrödinger equation with the asymptotic iteration method (AIM). We have calculated energy eigenvalues for different potential parameters.