20 citations · 24 across the 13 of their papers we have counts for
14 papers
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…
Spontaneous symmetry and antisymmetry breaking in a ring with two potential barriers
Hidetsugu Sakaguchi, Boris A. Malomed, T. J. Taiwo
We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schroedinge…
Real Spectra in PT Symmetry Hamiltonians using Tridiagonal Representation Approach
Tunde Joseph Taiwo
We consider the solution of PT symmetry Hamiltonians using the technique of tridiagonal representation approach. This methodology provides more accurate results and proper depictio…
Nonlinear extension of the J-matrix method of scattering: A toy model
A. D. Alhaidari, T. J. Taiwo
We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a…
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…
Meixner- Pollaczek Quantum System
Tunde Joseph Taiwo
In an effort to achieve our aims (getting larger quantum system) in the recent reformulation of quantum mechanics without potential function [1-5], we obtained a new quantum system…
New Quantum System of Wilson Orthogonal Polynomial
Tunde Joseph Taiwo
We find a new quantum system associated with the Wilson Orthogonal Polynomial. In order to establish correspondence between the recent reformulation of quantum mechanic without pot…
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 infinite square well in a reformulation of Quantum mechanics without potential function
A. D. Alhaidari, T. J. Taiwo
Using a recent reformulation of quantum mechanics where the potential function is not required, we are able to obtain the energy spectrum and wave function associated with the infi…
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…
Asymptotic Limit of Continuous Dual Hahn Polynomial
A. D. Alhaidari, E. O. Ifidon, T. J. Taiwo
Using Darboux method, we obtain an asymptotic limit for Continuous Dual Hahn Polynomial.The basic concept is to construct a comparison function which is the singular part of the ge…