Bound energy for the exponential-cosine-screened Coulomb potential

TL;DR

This paper introduces an approximation method to analytically solve the Schrödinger equation for the exponential-cosine-screened Coulomb potential, providing bound state energies and wave functions up to second-order perturbation.

Contribution

It presents a new approximation scheme for solving the Schrödinger equation with this specific potential, yielding analytical expressions for energies and wave functions.

Findings

Bound state energies obtained analytically.

Wave functions derived up to second perturbation order.

Method applicable to similar screened Coulomb potentials.

Abstract

An alternative approximation scheme has been used in solving the Schrodinger equation for the exponential-cosine-screened Coulomb potential. The bound state energ\i es for various eigenstates and the corresponding wave functions are obtained analytically up to the second perturbation term.