The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A new approach for solving exponential-type potentials
A new method for solving second order differential equation called “Nikiforov–Uvarov-
Functional-Analysis (NUFA) method is generalized. This method is employed to obtain the …
Functional-Analysis (NUFA) method is generalized. This method is employed to obtain the …
Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
F Ahmed - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
In this analysis, we study the quantum motions of a non-relativistic particle confined by the
Aharonov–Bohm (AB) flux field with harmonic oscillator plus Mie-type potential in a point-like …
Aharonov–Bohm (AB) flux field with harmonic oscillator plus Mie-type potential in a point-like …
[HTML][HTML] Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential
This study presents the solutions of Schrödinger equation for the Non-Central Generalized
Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial …
Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial …
Formula method for bound state problems
BJ Falaye, SM Ikhdair, M Hamzavi - Few-Body Systems, 2015 - Springer
We present a simple formula for finding bound state solution of any quantum wave equation
which can be simplified to the form of Ψ''(s)+(k_1-k_2s) s (1-k_3s) Ψ'(s)+(As^ 2+ Bs+ C) s^ 2 …
which can be simplified to the form of Ψ''(s)+(k_1-k_2s) s (1-k_3s) Ψ'(s)+(As^ 2+ Bs+ C) s^ 2 …
Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model
In this study, the approximate analytical solutions of Schrödinger, Klein–Gordon and Dirac
equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using …
equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using …
Approximate analytical solutions to relativistic and nonrelativistic Pöschl–Teller potential with its thermodynamic properties
SM Ikhdair, BJ Falaye - Chemical Physics, 2013 - Elsevier
We apply the asymptotic iteration method (AIM) to obtain the solutions of Schrödinger
equation in the presence of Pöschl–Teller (PT) potential. We also obtain the solutions of …
equation in the presence of Pöschl–Teller (PT) potential. We also obtain the solutions of …
Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach
CA Onate, JO Ojonubah - Journal of theoretical and applied Physics, 2016 - Springer
Using the basic concept of the supersymmetric shape invariance approach and formalism,
we obtained an approximate solution of the Schrödinger equation with an interaction of …
we obtained an approximate solution of the Schrödinger equation with an interaction of …
Solutions of the Dirac and Schrödinger equations with shifted Tietz-Wei potential
We solved the Dirac equation using the modified factorization method with the shifted Tietz-
Wei potential model. Relativistic and non-relativistic ro-vibrational energy spectra were …
Wei potential model. Relativistic and non-relativistic ro-vibrational energy spectra were …
Non-relativistic molecular modified shifted Morse potential system
A shifted Morse potential model is modified to fit the study of the vibrational energies of some
molecules. Using a traditional technique/methodology, the vibrational energy and the un …
molecules. Using a traditional technique/methodology, the vibrational energy and the un …
Relativistic rotation-vibrational energies for the Cs2 molecule
CS Jia, Y Jia - The European Physical Journal D, 2017 - Springer
We present bound state solutions of the Dirac equation with the improved Rosen-Morse
potential energy model. In the non-relativistic limit, the relativistic energy equation becomes …
potential energy model. In the non-relativistic limit, the relativistic energy equation becomes …