49 citations · 92 across the 40 of their papers we have counts for
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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…
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…
-deformed coherent states associated with the sequence
Othmane El Moize, Zouhaïr Mouayn, Khalid Ahbli
We introduce new generalized -deformed coherent states (-CS) by replacing the -factorial of in the series expansion of the classical -CS by the generalized fac…
Heat coefficients for magnetic Laplacians on the complex projective space
K. Ahbli, A. Hafoud, Z. Mouayn
Denoting by the Fubini-Study Laplacian perturbed by a uniform magnetic field strength proportional to , this operator has a discrete spectrum consisting on eigenvalues $β_…