Using a new powerful technique based on the notion of megaideal, we construct a complete
set of inequivalent realizations of real Lie algebras of dimension no greater than four in …

We apply the asymptotic iteration method (AIM)(Ciftci, Hall and Saad 2003 J. Phys. A: Math.
Gen. 36 11807) to solve new classes of second-order homogeneous linear differential …

A simple exact analytical solution of the relativistic Duffin-Kemmer-Petiau equation within the
framework of the asymptotic iteration method is presented. Exact bound state energy …

The eigenenergies of the Schrödinger equation with Coulomb potential plus linear and
harmonic radial terms are investigated using the perturbation technique within the …

We report a new analytical method for exact solution of homogeneous linear ordinary
differential equations with arbitrary order and variable coefficients. The method is based on …

The parametric Nikiforov–Uvarov approach and the Greene–Aldrich approximation scheme
were used to achieve approximate analytical solutions to the Schrödinger equation …

Abstract The three dimensional Klein–Gordon equation is solved with a double ring-shaped
oscillator for the case of the equal vector and scalar potential,, by using the asymptotic …

Exact solutions for vibrational levels of diatomic molecules via the Morse potential are
obtained by means of the asymptotic iteration method. It is shown that the numerical results …

The relativistic solutions of the Klein‐Gordon equation comprising an interaction of the
generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic …

In this study, within the framework of the asymptotic iteration method, we investigate
approximate solutions of the N-dimensional Dirac equation for the Hulthén potential in the …