16 citations · 59 across the 18 of their papers we have counts for
18 papers
Revival structures of coherent states for Xm exceptional orthogonal polynomials of the Scarf I potential within position-dependent effective mass
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
The revival structures for the X_m exceptional orthogonal polynomials of the Scarf I potential endowed with position-dependent effective mass is studied in the context of the gener…
Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
By means of the unitary transformation, a new way for discussing the ordering prescription of Schrodinger equation with a position-dependent mass (PDM) for isospectral Hamiltonian…
New Fourier Transform Containing a Pair of Complex Euler Gamma Functions With a Monomial: Mathematical and Physical Applications
S-A Yahiaoui, O Cherroud, M Bentaiba
One of the goals of the present paper is to propose an elementary method to find a general formula for the Fourier transform containing a pair of complex gamma functions with a mon…
Reconstruction and location of fractional revivals of coherent state wave-packets for potentials associated with exceptional Xm Jacobi-polynomials
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
Gazeau-Klauder coherent states of the extended trigonometric Scarf potential, underlying the quadratic energy spectrum and associated with Jacobi-type Xm exceptional orthogonal pol…
Weak and strong expansions of the generalized q-deformed coherent states approximate eigenfunctions and its resolution of unity
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
The aim of this paper is to provide an explicit expressions for the generalized q-deformed harmonic oscillator coherent states obtained in terms of a weak and strong behavior expan…
New SU(1, 1) Position-Dependent Effective Mass Coherent States for the Generalized Shifted Harmonic Oscillator
Sid-Ahmed Yahiaoui, Mustapha Bentaiba
A new SU(1, 1) position-dependent effective mass coherent states (PDEM CS) related to the shifted harmonic oscillator (SHO) are deduced. This is accomplished by applying a similari…