Comment on: 'A simple analytical expression for bound state energies for an attractive Gaussian confining potential'

TL;DR

This paper evaluates a recent analytical formula for Gaussian well bound states, finding it less accurate than variational methods with simple trial functions in predicting energies and critical parameters.

Contribution

It compares a new analytical expression with variational results, demonstrating the latter's superior accuracy for Gaussian potential eigenvalues.

Findings

Variational method yields more accurate energies.

Variational approach better estimates critical parameters.

Recent analytical formula is less precise than variational results.

Abstract

We discuss a recently proposed analytical formula for the eigenvalues of the Gaussian well and compare it with the analytical expression provided by the variational method with the simplest trial function. The latter yields considerably more accurate results than the former for the energies and critical parameters.