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 …

Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

US Okorie, AN Ikot, CO Edet, GJ Rampho… - Journal of Physics …, 2019 - iopscience.iop.org
We solve the D-dimensional Klein–Gordon equation with a newly proposed generalized
hyperbolic potential model, under the condition of equal scalar and vector potentials. The …

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 …

Bound-state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

KJ Oyewumi, CO Akoshile - The European Physical Journal A, 2010 - Springer
The energy spectra and the corresponding two-component spinor wave functions of the
Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are …

Approximate spin and pseudospin solutions to the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction

M Hamzavi, SM Ikhdair, BI Ita - Physica Scripta, 2012 - iopscience.iop.org
We approximately solve the Dirac equation for the inversely quadratic Yukawa potential
including a Coulomb-like tensor potential with arbitrary spin–orbit coupling quantum number …

Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential

SM Ikhdair, R Sever - Applied Mathematics and Computation, 2010 - Elsevier
We solve the Dirac equation approximately for the attractive scalar S (r) and repulsive vector
V (r) Hulthén potentials including a Coulomb-like tensor potential with arbitrary spin-orbit …

An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry

SM Ikhdair - Journal of Mathematical Physics, 2011 - pubs.aip.org
By using an improved approximation scheme to deal with the centrifugal (pseudo-
centrifugal) term, we solve the Dirac equation for the generalized Morse potential with …

Two approximation schemes to the bound states of the Dirac–Hulthén problem

SM Ikhdair, R Sever - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
The bound-state (energy spectrum and two-spinor wavefunctions) solutions of the Dirac
equation with the Hulthén potential for all angular momenta based on the spin and …

Quantization rule solution to the Hulthén potential in arbitrary dimension with a new approximate scheme for the centrifugal term

SM Ikhdair, J Abu-Hasna - Physica Scripta, 2011 - iopscience.iop.org
The bound state energies and wave functions for a particle exposed to the Hulthén potential
field in the D-dimensional space are obtained within the improved quantization rule for any …

Deng-Fan potential for relativistic spinless particles—an Ansatz solution

H Hassanabadi, BH Yazarloo… - Communications in …, 2012 - iopscience.iop.org
Deng-Fan potential originally appeared many years ago as an attractive proposition for
molecular systems. On the contrary to the ground state of one-dimensional Schrödinger …