Line Laplace Transforms for obtaining the Exact Bound States for the Morse Potential

TL;DR

This paper applies line Laplace transforms to the Morse potential to derive exact wavefunctions and energy levels, providing a new analytical approach for solving quantum mechanical bound states.

Contribution

It introduces a novel application of line Laplace transforms to obtain exact solutions for the Morse potential in quantum mechanics.

Findings

Wavefunctions derived explicitly

Energy levels obtained analytically

Method offers an alternative to traditional techniques

Abstract

The line Laplace transforms is applied to the Morse potential. The wavefunctions and the energy levels through suitable path of integration are derived.