Inverse Contour Representation as a Solution of the Rotating Morse Potential

TL;DR

This paper introduces an inverse contour representation method to calculate bound states and energy levels for the rotating Morse potential, providing results consistent with existing approaches.

Contribution

It presents a novel application of inverse contour representation to solve for bound states in the rotating Morse potential, enhancing analytical techniques in quantum mechanics.

Findings

Accurate energy eigenvalues obtained

Radial wave-functions derived analytically

Results agree with previous methods

Abstract

A new way for obtaining the bound-states for arbitrary non zero l-states of the rotating Morse potential is presented. We show that by making use of the inverse contour representation, which is based on a knowledge of the integral representation of Euler's beta function, the radial wave-function as well as their energy eigenvalues are deduced. The results obtained are compared with the findings in the literature and it is found that are good agreement with those deduced by others methods.