49 citations · 92 across the 40 of their papers we have counts for
42 papers
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…
Polyanalytic Hermite polynomials associated with the elliptic Ginibre model
Nizar Demni, Zouhaïr Mouayn
Motivated by the connection between the eigenvalues of the complex Ginibre matrix model and the magnetic Laplacian in the complex plane, we derive analogues of the complex Hermite…
Integrated density of states for the sub-Laplacian on Heisenberg groups
Zouhaïr Mouayn
We rederive the expression of the integrated density of states for \ the sub-Laplacian on Heisenberg groups by using its resolvent kernel.
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…
A phase space localization operator in negative binomial states
Zouhair Mouayn, Soumia Touhami
We are dealing with some spectral properties of a phase space localization operator PR corresponding to the indicator function of a disk of radius R < 1. The localization procedure…
Mean and variance of the cardinality of particles in polyanalytic Ginibre processes via a quantization method
Zouhaïr Mouayn, Mohamed Mahboubi, Othmane El Moize
We discuss the mean and variance of the number \textquotedblleft point-particles\textquotedblright\ \ inside a disk centered at the origin of the complex p…