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 introduce an exponentially confining potential well that can be used as a model to
describe the structure of a strongly localized system. We obtain an approximate partial …

We introduce an exactly solvable one-dimensional potential that supports both bound and/or
resonance states. This potential is a generalization of the well-known 1D Morse potential …

We use the “tridiagonal representation approach” to solve the time-independent
Schrödinger equation for the bound states of generalized versions of the trigono-metric and …

In this work, we consider a general Morse-type confining potential that was introduced
recently by Alhaidari (J Theor Math Phys 205, 2020. arxiv: 2005.09080). This potential is …

In this work, the author attempted to develop a Shannon wavelet‐based numerical scheme
to approximate the information entropies in both configuration and momentum space …

We use the tridiagonal representation approach to solve the radial Schrödinger equation for
an inverse-power-law potential of a combined quartic and sextic degrees and for all angular …

In this work, we compute the bound states associated with two newly proposed one-
dimensional hyperbolic potentials using the asymptotic iteration method (AIM). We find the …

Conventional quantum field theory is a method for studying structureless elementary
particles. Non-elementary particles, on the other hand, are those with internal structure or …

We use the tridiagonal representation approach to solve the radial Schrödinger equation for
the continuum scattering states of the Kratzer potential. These solutions are written as …