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 …

Arbitrary l-state solutions of the rotating Morse potential through the exact quantization rule method

WC Qiang, SH Dong - Physics Letters A, 2007 - Elsevier
By using the exact quantization rule, for non-zero l values we present analytical solutions of
the radial Schrödinger equation for the rotating Morse potential in the frame of the Pekeris …

Any l-state solutions of the Hulthén potential by the asymptotic iteration method

O Bayrak, G Kocak, I Boztosun - Journal of physics A …, 2006 - iopscience.iop.org
In this paper, we present the analytical solution of the radial Schrödinger equation for the
Hulthén potential within the framework of the asymptotic iteration method by using an …

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 …

κ state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry

A Soylu, O Bayrak, I Boztosun - Journal of Physics A …, 2008 - iopscience.iop.org
For any spin–orbit coupling term κ, the analytical solutions of the Dirac equation for the
Eckart potential are presented by using the asymptotic iteration method within the framework …

Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach

S Zarrinkamar, AA Rajabi, H Hassanabadi - Annals of Physics, 2010 - Elsevier
The problem of analytical solutions of the 3-dimensional Dirac equation is usually studied
via techniques such as The Nikiforov–Uvarov (NU) method. Here, we see that one of the …

Bound state solutions of the Hulthén potential by using the asymptotic iteration method

O Bayrak, I Boztosun - Physica Scripta, 2007 - iopscience.iop.org
We present very accurate values for the bound state energy eigenvalues by solving the
radial Schrödinger equation for the Hulthén potential within the framework of the asymptotic …

Any -state solutions of the Eckart potential via asymptotic iteration method

BJ Falaye - Central European Journal of Physics, 2012 - Springer
The asymptotic iteration method is employed to calculate the any ℓ-state solutions of the
Schrödinger equation with the Eckart potential by proper approximation of the centrifugal …

Approximate solutions of the Schrödinger equation with the generalized Morse potential model including the centrifugal term

LH Zhang, XP Li, CS Jia - International Journal of Quantum …, 2011 - Wiley Online Library
By using a new improved approximation scheme to deal with the centrifugal term, we solve
approximately the Schrödinger equation with the generalized Morse potentials for the …

Relativistic treatment of spinless particles subject to a rotating Deng—Fan oscillator

SH Dong - Communications in Theoretical Physics, 2011 - iopscience.iop.org
The bound state solutions of the Klein—Gordon equation with the rotating Deng—Fan
molecular potential are presented by using a proper approximation to the centrifugal term …