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 …

Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential

AN Ikot, US Okorie, R Sever, GJ Rampho - The European Physical …, 2019 - Springer
Within the framework of non-relativistic quantum mechanics via the Nikiforov-Uvarov (NU)
method, we obtained the energy eigenvalues and the corresponding normalized …

Relativistic treatment of the Hellmann-generalized Morse potential

PO Okoi, CO Edet, TO Magu - Revista mexicana de física, 2020 - scielo.org.mx
We solve the relativistic equations (Klein-Gordon and Dirac equation) via the conventional
Nikiforov-Uvarov method. In order to overcome the centrifugal barrier, we employed the well …

Approximate k-state solutions of the deformed Dirac equation in spatially dependent mass for the improved Eckart potential including the improved Yukawa tensor …

A Maireche - International Journal of Geometric Methods in Modern …, 2022 - World Scientific
In this work, we considered analytical approximate bound state solutions of the mass-
dependent deformed Dirac equation with the improved vector Eckart potential including the …

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 …

Bound state solutions of the generalized shifted Hulthen potential

CO Edet, PO Okoi, AS Yusuf, PO Ushie… - Indian Journal of physics, 2021 - Springer
In this study, we obtain an approximate solution of the Schrödinger equation in arbitrary
dimensions for the generalized shifted Hulthén potential model within the framework of the …

Thermal properties of anharmonic Eckart potential model using Euler–MacLaurin formula

GT Osobonye, M Adekanmbi, AN Ikot, US Okorie… - Pramana, 2021 - Springer
By employing the asymptotic iteration method (AIM), we solved the three-dimensional time-
independent Schrödinger equation with the anharmonic Eckart potential model. The …

Diatomic molecules with the improved deformed generalized Deng–Fan potential plus deformed Eckart potential model through the solutions of the modified Klein …

A Maireche - Ukrainian journal of physics, 2022 - ujp.bitp.kiev.ua
In this study, the deformed Klein–Gordon equation and Schrodinger equations were solved
with the improved deformed generalized Deng–Fan potential plus the deformed Eckart …

Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

AN Ikot, OA Awoga, AD Antia - Chinese Physics B, 2013 - iopscience.iop.org
We study the d-dimensional Schrödinger equation for Eckart plus modified deformed
Hylleraas potentials using the generalized parametric form of Nikiforov—Uvarov method. We …

Analytical solution of D dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term

D Nath, AK Roy - Chemical Physics Letters, 2021 - Elsevier
Analytical solutions are presented for eigenvalues, eigenfunctions of D-dimensional
Schrodinger equation having Eckart potential within Nikiforov-Uvarov method. This uses a …