Showing math-phShow all
3 papers · 1 filter
math-ph2025
Zernike polynomials from the tridiagonalization of the radial harmonic oscillator in displaced Fock states
Hashim A. Yamani, Zouhaïr Mouayn
We revisit the J-matrix method for the one dimensional radial harmonic oscillator (RHO) and construct its tridiagonal matrix representation within an orthonormal basis phi(z)n of L…
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-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…