81 citations · 204 across the 12 of their papers we have counts for
12 papers
J-matrix method of scattering in one dimension: The relativistic theory
A. D. Alhaidari
We make a relativistic extension of the one-dimensional J-matrix method of scattering. The relativistic potential matrix is a combination of vector, scalar, and pseudo-scalar compo…
J-matrix method of scattering for potentials with inverse square singularity: The real representation
A. D. Alhaidari, H. Bahlouli, S. Al-Marzoug +1
The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful s…
Analytically Solvable 2D Potentials: Bound States
S. M. Al-Marzoug, H. Bahlouli, M. S. Abdelmonem
Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix representation…
Analytical Treatment of the Oscillating Yukawa Potential
H. Bahlouli, M. S. Abdelmonem, S. M. Al-Marzoug
Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of th…
Singular Short Range Potentials in the J-Matrix Approach
M. S. Abdelmonem, I. Nasser, H. Bahlouli +2
We use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and…
J-matrix method of scattering in one dimension: The nonrelativistic theory
A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem
We formulate a theory of nonrelativistic scattering in one dimension based on the J-matrix method. The scattering potential is assumed to have a finite range such that it is well r…