Bound state solutions of the Klein–Gordon equation with the improved expression of the Manning–Rosen potential energy model

CS Jia, T Chen, S He - Physics Letters A, 2013 - Elsevier
By employing the improved Greene–Aldrich approximation scheme to deal with the
centrifugal term, we solve approximately the Klein–Gordon equation with the improved …

Approximate analytical solutions of the relativistic equations with the Deng–Fan molecular potential including a Pekeris-type approximation to the (pseudo or) …

OJ Oluwadare, KJ Oyewumi, CO Akoshile… - Physica …, 2012 - iopscience.iop.org
By employing the Pekeris-type (or a new improved approximation) to deal with the (pseudo
or) centrifugal term, we solve the Klein–Gordon and Dirac equations with equally mixed …

Approximate analytical solutions of the Klein–Gordon equation with generalized Morse potential

AN Ikot, US Okorie, GJ Rampho, PO Amadi - International Journal of …, 2021 - Springer
In this study, the Klein–Gordon equation for the newly proposed generalized Morse potential
(GMP) was solved using the newly proposed Nikiforov–Uvarov-functional analysis (NUFA) …

Analytical solutions of fractional Schrödinger equation and thermal properties of Morse potential for some diatomic molecules

US Okorie, AN Ikot, GJ Rampho, PO Amadi… - … Physics Letters A, 2021 - World Scientific
By employing the concept of conformable fractional Nikiforov–Uvarov (NU) method, we
solved the fractional Schrödinger equation with the Morse potential in one dimension. The …

Analytical solutions of the Klein–Gordon equation with a combined potential

CA Onate, MC Onyeaju, AN Ikot… - Chinese Journal of Physics, 2016 - Elsevier
The supersymmetric approach is employed to calculate any ℓ-state solutions of the Klein–
Gordon equation in the non-relativistic limit of potential V with a combined potential by using …

[HTML][HTML] Bound state solutions of D-dimensional Klein–Gordon equation with hyperbolic potential

CA Onate, AN Ikot, MC Onyeaju, ME Udoh - Karbala International Journal …, 2017 - Elsevier
By using the basic supersymmetric quantum mechanics concepts and formalism, the energy
eigenvalue equation and the corresponding wave function of the Klein–Gordon equation …

Solutions of the Klein–Gordon equation with the Morse potential energy model in higher spatial dimensions

XJ Xie, CS Jia - Physica Scripta, 2015 - iopscience.iop.org
Abstract We solve the Klein–Gordon equation with the Morse potential energy model to
obtain the relativistic bound state energy equation in D spatial dimensions. We find that the …

The Klein–Gordon equation with a generalized Morse potential in D-dimensions

AB Brzo, E Olğar, HG Hussein - The European Physical Journal Plus, 2021 - Springer
An approximate analytic solution of the Klein–Gordon equation with equal vector and scalar
Morse potential for the arbitrary angular momentum values is presented. The corresponding …

Thermal properties of 2D Schrödinger equation with new Morse interacting potential

AN Ikot, US Okorie, IB Okon, LF Obagboye… - The European Physical …, 2022 - Springer
In this article, we carried out a comprehensive study of the analytical solutions of the 2D
Schrödinger equation for a new Morse interacting potential. Using Nikiforov–Uvarov method …

Thermal Responses and the Energy Spectral of Diatomic Molecules Using Nikiforov–Uvarov Methodology

M Roshanzamir - Mathematics, 2023 - mdpi.com
The parametric Nikiforov–Uvarov approach and the Greene–Aldrich approximation scheme
were used to achieve approximate analytical solutions to the Schrödinger equation …