Approximate solutions of the Schrödinger equation with Hulthén plus screened Kratzer Potential using the Nikiforov–Uvarov – functional analysis (NUFA) method: an application to diatomic molecules

Abstract

The Schrödinger equation has been solved for the Hulthén plus screened Kratzer Potential (HSKP) via the Nikiforov-Uvarov-Functional Analysis (NUFA) method. The bound state energy and wave function for the HSKP have been obtained in closed form by applying the Greene-Aldrich approximation scheme to the inverse square term. Using the resulting energy equation, we computed the energy spectra for twelve diatomic molecules (CuLi, TiH, VH, TiC, HCl, LiH, H<sub>2</sub>, ScH, CO, I<sub>2</sub>, N<sub>2</sub>, and NO) for various quantum states. In order to show the accuracy of our procedure, four special cases of the collective potential were obtained, and the results are in excellent agreement with the existing literature.

Effects of Cosmic Dislocation on Non-Relativistic Quantum Particles with Interaction Potential and Thermodynamic Properties

“…Several authors have been employed various methods or techniques to obtain the exact or approximate solutions of the wave equations in the literature. These method includes the parametric Nikiforov-Uvarov method [24][25][26][27] and its functional analysis [28,29], super-symmetry quantum mechanics (SYQM) [30,31], asymptotic iteration method (AIM) [32,33] and others.…”

Non-relativistic bound state solutions of a linear combination of deformed Hulthén plus generalized Kratzer potentials using Feynman path integral approach

“…It is essential to emphasize that this potential has been recently studied with no deformation parameter [27].…”

Masses and thermal properties of a Charmonium and Bottomonium Mesons

“…More so, in solving the SE with any potential of choice, analytical methods are employed. Most of the frequently used analytical methods are as follows, the Nikiforov-Uvarov (NU) method [6][7][8][9][10][11][12], the Nikiforov-Uvarov Functional Analysis (NUFA) method [13][14][15][16], the series expansion method (SEM) [17,18,19], Laplace transformation method (LTM) [20], Asymptoptic Iteration Method [21], WKB approximation method [22][23][24], among others [25][26][27][28][29][30][31]. The investigation of the MS with CP has gained remarkable interest, and has attracted the attention of many scholars [32][33][34][35].…”