Using an algebraic method for solving the wave equation in quantum mechanics, we
encountered new families of orthogonal polynomials on the real line. The properties of the …

We present the exact solution of the one-dimensional stationary Dirac equation for the
pseudoscalar interaction potential, which consists of a constant and a term that varies in …

The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the
case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) …

This work intends to evaluate the energy spectrum of a particle influenced by the new type of
confined interactions introduced in our previous work [Assi and Sous, Eur. Phys. J. Plus 133 …

The aim of this work is to introduce a new family of potentials with inverse square singularity
which we called the Pöschl–Teller family of potentials. We enforced the matrix …

The goal of this work is to derive a new class of short-range potentials that could have a
wide range of physical applications, specially in molecular physics. The tridiagonal …

In this work, we would like to apply the asymptotic iteration method (AIM) to a newly
proposed Morse-like deformed potential introduced recently by Assi, Alhaidari and Bahlouli …

This work aims at introducing two new solvable 1D and 3D confined potentials and present
their solutions using the Tridiagonal Representation Approach (TRA). The wave function is …

Using an algebraic method for solving the wave equation in quantum mechanics, we 8
encountered a new class of orthogonal polynomials on the real line. One of these is a four …

In this work, we introduce an improved numerical method based on higher order finite
difference schemes to solve Schrodinger equation for spherically symmetric potentials. We …