A general approach for the exact solution of the Schrödinger equation

C Tezcan, R Sever - International Journal of Theoretical Physics, 2009 - Springer
The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …

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 …

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 …

Exact solutions of the two-dimensional Schrödinger equation with certain central potentials

SH Dong - International Journal of Theoretical Physics, 2000 - Springer
By applying an ansatz to the eigenfunction, an exact closed-form solution of theSchrödinger
equation in two dimension is obtained with the potentials V (r)= ar 2+ br 4+ cr 6, V (r)= ar+ br …

Exact solutions of the radial Schrödinger equation for some physical potentials

SM Ikhdair, R Sever - Central European Journal of Physics, 2007 - Springer
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of
the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two …

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 …

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N‐Dimensional Space

M Abu-Shady, TA Abdel-Karim… - Advances in High …, 2018 - Wiley Online Library
The N‐dimensional radial Schrödinger equation has been solved using the analytical exact
iteration method (AEIM), in which the Cornell potential is generalized to finite temperature …

Exact solution of Schrodinger equation for Pseudoharmonic potential

C Tezcan, M Aktas, OYR Sever - arXiv preprint quant-ph/0701206, 2007 - arxiv.org
Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an
arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions …

Exact solutions of the Schrödinger equation with inverse-power potential

SH Dong, ZQ Ma, G Esposito - Foundations of Physics Letters, 1999 - Springer
The Schrödinger equation for stationary states is studied in a central potential V (r)
proportional to r− β in an arbitrary number of spatial dimensions. The presence of a single …