arXiv subjects

Tunde Joseph Taiwo

Publications and source records attributed to Tunde Joseph Taiwo.

4 recordsLinked to original sources

arXiv2025

Real Spectra in PT Symmetry Hamiltonians using Tridiagonal Representation Approach

We consider the solution of PT symmetry Hamiltonians using the technique of tridiagonal representation approach. This methodology provides more accurate results and proper depiction of the Hamiltonian energy level and wavefunctions. It is well know that PT symmetry condition of a Hamiltonian ensure that its spectra are real and positive even if the Hamiltonian is non Hermitian. Here, we introduce the method of TRA to get the eigenvalues and wavefunction of this Hamiltonian for integers values of $N$ and show an approximation solution for non-integer value of $N$. Due to the nature of the Hamiltonian, the TRA was applied in a semi-Analytic manner in the paper.

math-ph↗

arXiv2022

Exact Solution of Spherical Harmonic Potential Coupled with E and M fields

Using the technique of tridiagonal representation approach; for the first time, we extend this method to study quantum systems with literally perturbed Hamiltonians. Specifically, we consider a quantum system in a 3D spherical oscillator symmetric potential function coupled with an electric and a magnetic field. We obtain the energy spectrum and wavefunction in the two cases.

quant-ph↗

arXiv2017

Meixner- Pollaczek Quantum System

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 associated with Meixner Pollaczek Orthogonal polynomial class (hereby called Meixner - Pollaczek Quantum system). The energy spectrum and wave function of the quantum system were given. To the best of our knowledge, this quantum system is not found in physics literatures.

math-ph↗

arXiv2017

New Quantum System of Wilson Orthogonal Polynomial

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 potential function [1-2] and the convention quantum mechanics, we derived the potential function of the new quantum system using any of the proposed formulas in [4]. To achieve this, we used the matrix elements of the potential function and the basis element of the configuration space.

math-ph↗