1 citations · 1 across the 5 of their papers we have counts for
5 papers
-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_…
Nonlinear coherent states associated with a measure on the positive real half line
S. Twareque Ali, Zouhaïr Mouayn, Khalid Ahbli
We construct a class of generalized nonlinear coherent states by means of a newly obtained class of 2D complex orthogonal polynomials. The associated coherent states transform is d…
A generating function and formulae defining the first-associated Meixner-Pollaczek polynomials
Khalid Ahbli, Zouhair Mouayn
While considering nonlinear coherent states with specific anti-holomorphic coefficients , we identify as first associated Meixner-Pollaczek polynomials the o…
Orthogonal polynomials attached to coherent states for the symmetric Poschl-Teller oscillator
Khalid Ahbli, Patrick Kayupe Kikodio, Zouhair Mouayn
We consider a one-parameter family of nonlinear coherent states by replacing the factorial in coefficients of the canonical coherent states by a specific generalized factorial depe…