3 papers
math-ph2021
Coherent states associated with tridiagonal Hamiltonians
Hashim A. Yamani, Zouhaïr Mouayn
It has been shown that a positive semi-definite Hamiltonian H, that has a tridiagonal matrix representation in a given basis, can be represented in the form H = A†A, where A is a f…
math.NA2019
Iterative polynomial-root-finding procedure with enhanced accuracy
Hashim A. Yamani, Abdulaziz D. Alhaidari
We devise a simple but remarkably accurate iterative routine for calculating the roots of a polynomial of any degree. We demonstrate that our results have significant improvement i…
math-ph2018
Properties of shape-invariant tridiagonal Hamiltonians
Hashim A. Yamani, Zouhaïr Mouayn
It has been established that a positive semi-definite Hamiltonian,, that has a tridiagonal matrix representation in a basis set, allows a definition of forward (and backward) sh…