Based on matrix spectral problems associated with the real special orthogonal Lie algebra
so (3, R), a Dirac-type equation is derived by virtue of the zero-curvature equation. Further …

We solve the D‐dimensional Schrödinger equation with hyperbolic Pöschl‐Teller potential
plus a generalized ring‐shaped potential. After the separation of variable in the …

The aim of this work is to find exact solutions of the Dirac equation in (1+ 1) space-time
beyond the already known class. We consider exact spin (and pseudo-spin) symmetric Dirac …

Under the condition of the pseudospin symmetry, the approximate analytical solution of the
Dirac–Eckart problem with a Hulthén tensor interaction is investigated by working in a …

The main goal of this work is to solve the non-relativistic wave equation for a new potential
configuration that describes the quantum states of a particle that lies within a one …

This paper aims at extending our previous work on the solution of the one-dimensional Dirac
equation using the Tridiagonal Representation Approach (TRA). In the approach, we …

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 …

The aim of this research is to extend the class of solvable potentials of Dirac equation as a
continuation to the work in [1]. We expand the spinor wavefunction in a square integrable …