The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A new approach for solving exponential-type potentials

AN Ikot, US Okorie, PO Amadi, CO Edet, GJ Rampho… - Few-Body Systems, 2021 - Springer
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 …

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 …

Improved five-parameter exponential-type potential energy model for diatomic molecules

KX Fu, M Wang, CS Jia - Communications in Theoretical Physics, 2019 - iopscience.iop.org
The dissociation energy and equilibrium bond length as explicit parameters are used to
establish an improved five-parameter exponential-type potential energy model for diatomic …

Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule

H Louis, BI Ita, NI Nzeata - The European Physical Journal Plus, 2019 - epjplus.epj.org
We obtained, by using the proper quantization rule, the approximate solutions of the
Schrödinger equation with Manning-Rosen plus Hellmann potential for any l-state …

Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model

BJ Falaye, KJ Oyewumi, SM Ikhdair… - Physica Scripta, 2014 - iopscience.iop.org
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 …

Topological effects on non-relativistic eigenvalue solutions under AB-flux field with pseudoharmonic-and Mie-type potentials

F Ahmed - Communications in Theoretical Physics, 2023 - iopscience.iop.org
In this paper, we investigate the quantum dynamics of a non-relativistic particle confined by
the Aharonov–Bohm quantum flux field with pseudoharmonic-type potential in the …

Application of Tietz potential to study optical properties of spherical quantum dots

R Khordad, B Mirhosseini - Pramana, 2015 - Springer
In this work, we study the optical properties of spherical quantum dots by using Tietz
potential. In this regard, we have applied Nikiforov–Uvarov (NU) technique and numerically …

Solutions of the Dirac and Schrödinger equations with shifted Tietz-Wei potential

US Okorie, EE Ibekwe, MC Onyeaju, AN Ikot - The European Physical …, 2018 - Springer
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 …

Eigen solutions and entropic system for Hellmann potential in the presence of the Schrödinger equation

CA Onate, MC Onyeaju, AN Ikot… - The European Physical …, 2017 - Springer
By using the supersymmetric approach, we studied the approximate analytic solutions of the
three-dimensional Schrödinger equation with the Hellmann potential by applying a suitable …

Second and third harmonic generation associated to infrared transitions in a Morse quantum well under applied electric and magnetic fields

RL Restrepo, E Kasapoglu, S Sakiroglu… - Infrared Physics & …, 2017 - Elsevier
The effects of electric and magnetic fields on the second and third harmonic generation
coefficients in a Morse potential quantum well are theoretically studied. The energy levels …