On the Computation of Eigenvalues of the Anharmonic Coulombic Potential

TL;DR

This paper introduces a combined Sinc collocation and double exponential transformation method with a scaling factor to efficiently and accurately compute eigenvalues of anharmonic Coulombic potentials.

Contribution

It presents a novel computational approach that enhances convergence and stability for eigenvalue problems in Coulombic potentials.

Findings

High accuracy in eigenvalue computation

Improved convergence speed

Enhanced stability of the method

Abstract

In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potential. We introduce a scaling factor that improves the convergence speed and the stability of the method. Further, we apply this method to Coulombic potentials leading to a highly efficient and accurate computation of the eigenvalues.