20 citations · 24 across the 13 of their papers we have counts for
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Perturbative nonlinear J-matrix method of scattering in two dimensions
T. J. Taiwo, A. D. Alhaidari, U. Al Khawaja
We introduce a perturbative formulation for a nonlinear extension of the J-matrix method of scattering in two dimensions. That is, we obtain the scattering matrix for the time-inde…
Exact Solution of Spherical Harmonic Potential Coupled with E and M fields
Tunde Joseph Taiwo
Using the technique of tridiagonal representation approach; for the first time, we extend this method to study quantum systems with literally perturbed Hamiltonians. Specifically,…
Energy spectrum design and potential function engineering
A. D. Alhaidari, T. J. Taiwo
Starting with an orthogonal polynomial sequence that has a discrete spectrum, we design an energy spectrum formula, , where $|{s_k\}$ is th…
Confined systems associated with the discrete Meixner polynomials
A. D. Alhaidari, T. J. Taiwo
Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we study quantum systems totally confined in space and associated wi…
Potential Function Of the Wilson--Racah Quantum System
T . J . Taiwo
In order to establish a correspondence between the reformulation of quantum mechanics without potential function and the conventional quantum mechanics; we obtained the potential f…
Five-parameter potential box with inverse square singular boundaries
A. D. Alhaidari, T. J. Taiwo
Using the Tridiagonal Representation Approach, we obtain solutions (energy spectrum and corresponding wavefunctions) for a new five-parameter potential box with inverse square sing…
The Wilson-Racah Quantum System
A. D. Alhaidari, T. J. Taiwo
Using a recent formulation of quantum mechanics without potential function, we present a four-parameter system associated with the Wilson and Racah polynomials. The continuum scatt…