Bound state solutions of the Deng–Fan molecular potential with the Pekeris-type approximation using the Nikiforov–Uvarov (N–U) method

KJ Oyewumi, OJ Oluwadare, KD Sen… - Journal of Mathematical …, 2013 - Springer
By employing the Pekeris-type approximation to deal with the centrifugal term, we solve the
Schrödinger equation with the Deng–Fan molecular potential for all values of l (orbital …

Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules

M Hamzavi, SM Ikhdair, KE Thylwe - Journal of Mathematical Chemistry, 2013 - Springer
We obtain the bound-state solutions of the radial Schrödinger equation with the shifted Deng–
Fan oscillator potential in the frame of the Nikiforov-Uvarov method by employing Pekeris …

Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach

CO Edet, US Okorie, G Osobonye, AN Ikot… - Journal of Mathematical …, 2020 - Springer
Abstract The Deng–Fan–Eckart potential is as good as the Morse potential in studying
atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation …

Energy spectrum of some diatomic molecules using Nikiforov-Uvarov functional analysis

K Reggab - Physica Scripta, 2024 - iopscience.iop.org
In this present work, the Nikiforov-Uvarov functional analysis is suggested to determine the
solutions of the Schrodinger equation supported by different types of potentials and …

Arbitrary l state solutions of the Schrödinger equation with the Deng-Fan molecular potential

SH Dong, XY Gu - Journal of Physics: Conference Series, 2008 - iopscience.iop.org
The bound state solutions of the Schrödinger equation with the rotating Deng-Fan molecular
potential are presented approximately. It is shown that the solutions can be expressed by the …

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

EP Inyang, ES William, JE Ntibi, JA Obu… - Canadian Journal of …, 2022 - cdnsciencepub.com
The Schrödinger equation was solved for the Hulthén plus screened Kratzer Potential
(HSKP) via the Nikiforov–Uvarov–functional analysis (NUFA) method. The bound-state …

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 …

Energy spectra and the expectation values of diatomic molecules confined by the shifted Deng-Fan potential

OJ Oluwadare, KJ Oyewumi - The European Physical Journal Plus, 2018 - epjplus.epj.org
The approximate bound state solutions of the Schrödinger equation with the shifted Deng-
Fan potential was obtained via a proper quantization rule. The energy spectra for the …

Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method

SB Doma, AA Gohar, MS Younes - Journal of Mathematical Chemistry, 2023 - Springer
The analytical methods for solving Schrödinger equation are essential and effective tools
with which we can investigate the spectroscopic properties, the electronic structure, and the …

Thermodynamic properties and the approximate solutions of the Schrödinger equation with the shifted Deng–Fan potential model

KJ Oyewumi, BJ Falaye, CA Onate… - Molecular …, 2014 - Taylor & Francis
With the introduction of a new improved approximation scheme (Pekeris-type
approximation) to deal with the centrifugal term, the energy eigenvalues and the wave …