L-state solutions of a new four-parameter 1/r^2 singular radial non-conventional potential via asymptotic iteration method

TL;DR

This paper applies the asymptotic iteration method to solve the radial Schrödinger equation for a new four-parameter non-conventional potential, providing accurate eigenvalues and novel results for various parameters and angular momentum states.

Contribution

It introduces the use of AIM for this specific potential, achieving high accuracy and presenting new eigenvalue results for different parameters and states.

Findings

AIM yields highly accurate eigenvalues

The method compares favorably with other techniques

New eigenvalue results for the potential are presented

Abstract

In the present work, we give a numerical solution of the radial Schr\"odinger equation for new four-parameter radial non-conventional potential, which was introduced by Alhaidari. In our calculations, we applied the asymptotic iteration method (AIM) to calculate the eigenvalues of the potential for arbitrary parameters and any l state. It is found that this method gives highly accurate results that compares favorably with other. Moreover, some new results were presented in this paper.