Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

KJ Oyewumi, KD Sen - Journal of Mathematical Chemistry, 2012 - Springer
For arbitrary values n and ℓ quantum numbers, we present the solutions of the 3-
dimensional Schrödinger wave equation with the pseudoharmonic potential via the SU (1, 1) …

[HTML][HTML] Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén-Hellmann potential model

ES William, EP Inyang, EA Thompson - Revista mexicana de física, 2020 - scielo.org.mx
In this study, we obtain bound state solutions of the radial Schrödinger equation by the
superposition of Hulthén and Hellmann potentials within the framework of Nikiforov-Uvarov …

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 …

Nonrelativistic molecular models under external magnetic and AB flux fields

SM Ikhdair, BJ Falaye, M Hamzavi - Annals of Physics, 2015 - Elsevier
By using the wave function ansatz method, we study the energy eigenvalues and wave
function for any arbitrary m-state in two-dimensional Schrödinger wave equation with …

Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules

SM Ikhdair, R Sever - Journal of Mathematical Chemistry, 2009 - Springer
For arbitrary values of n and l quantum numbers, we present a simple exact analytical
solution of the D-dimensional (D≥ 2) hyperradial Schrödinger equation with the Kratzer and …

Mass spectrum of mesons via the WKB approximation method

E Omugbe, OE Osafile… - Advances in High Energy …, 2020 - Wiley Online Library
In this paper, we demonstrated that the multiple turning point problems within the framework
of the Wentzel‐Kramers‐Brillouin (WKB) approximation method can be reduced to two …

Polynomial solutions of the Mie-type potential in the D-dimensional Schrödinger equation

SM Ikhdair, R Sever - Journal of Molecular Structure: THEOCHEM, 2008 - Elsevier
The polynomial solution of the D-dimensional Schrödinger equation for a special case of
Mie potential is obtained with an arbitrary l≠ 0 states. The exact bound state energies and …

On the bound-state solutions of the Manning–Rosen potential including an improved approximation to the orbital centrifugal term

SM Ikhdair - Physica Scripta, 2011 - iopscience.iop.org
The approximate analytical bound-state solution of the Schrödinger equation for the
Manning–Rosen (MR) potential is found by taking a new approximation scheme to the …

Approximate analytical solution of the Yukawa potential with arbitrary angular momenta

M Hamzavi, M Movahedi, KE Thylwe… - Chinese Physics …, 2012 - iopscience.iop.org
The Yukawa potential is often used to compute bound-state normalizations and energy
levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov method, we …

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 …