2 papers
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…
quant-ph2024
Generalized coherent states for the harmonic oscillator by the J-matrix method with an extension to the Morse potential
Hashim A. Yamani, Zouhaïr Mouayn
While dealing with the J-Matrix method for the harmonic oscillator to write down its tridiagonal matrix representation in an orthonormal basis of L2(R); we rederive a set of genera…