322 citations
17 papers
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…
Sine function with a cosine attitude
A. D. Alhaidari
We give a revealing expose that addresses an important issue in scattering theory of how to construct two asymptotically sinusoidal solutions of the wave equation with a phase shif…
Solution of the wave equation in a tridiagonal representation space
E. El Aaoud, H. Bahlouli, A. D. Alhaidari
We use variable transformation from the real line to finite or semi-infinite spaces where we expand the regular solution of the 1D time-independent Schrodinger equation in terms of…
Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem
Using the tools of the J-matrix method, we absorb the 1/r singularity of the Yukawa potential in the reference Hamiltonian, which is handled analytically. The remaining part, which…
Analytic solution of the Schrodinger equation for an electron in the field of a molecule with an electric dipole moment
A. D. Alhaidari
We relax the usual diagonal constraint on the matrix representation of the eigenvalue wave equation by allowing it to be tridiagonal. This results in a larger solution space that i…
The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states
I. Nasser, M. S. Abdelmonem, H. Bahlouli +1
This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation. Here, we compute t…