Bound State Solution of Exponential-coshine screened and Morse potential

TL;DR

This paper derives analytical solutions for the Schrödinger equation with exponential coshine screened and Morse potentials, providing energy eigenvalues and wave functions for various screening parameters, validated with numerical results for diatomic molecules.

Contribution

It presents new analytical solutions for these potentials and computes energy levels for different screening parameters, aligning with existing literature.

Findings

Energy eigenvalues for exponential coshine screened and Morse potentials

Wave functions corresponding to these potentials

Numerical results consistent with previous studies

Abstract

The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse potential are presented. The energy eigenvalues and the corresponding wave function are obtained for several values of screening parameters. We also present some numerical results for some selected diatomic molecules which are consistent with the values in the literature