12 citations · 23 across the 19 of their papers we have counts for
21 papers
Mehta's eigenvectors for the finite Hartely transform
Fethi Bouzeffour
This paper presents a novel approach for evaluating analytical eigenfunctions of the finite Hartley transform. The approach is based on the use of -supersymmetric quantum me…
- Extended oscillator algebra and -orthogonal polynomials
Fethi Bouzeffour, Wissem Jedidi
In this paper we first construct an analytic realization of the -extended oscillator algebra with the help of difference-differential operators. Secondly, we study families of…
Some aspects of number theory related to phase operators
F. Bouzeffour, M. Garayev
We first extend the multiplicativity property of arithmetic functions to the setting of operators on the Fock space. Secondly, we use phase operators to get representation of some…
Supersymmetric Quantum mechanics on the radial lines
F. Bouzeffour, M. Garayev
We investigate a type of Hermite orthogonal polynomials on lines in the plane which have a common point at the origin and endpoints at the roots of unity and we show that t…
Fractional supersymmetry algebra and lacunary Hermite polynomials
F. Bouzeffour, M. Garayev
We consider a realization of fractional supersymmetric of quantum mechanics of order , where the Hamiltonian and supercharges involve reflection operators. It is shown that the…
Arithmetical properties at the level of idempotence
Fethi Bouzeffour, Wissem Jedidi
In this paper we give an attempt to extend some arithmetic properties such as multiplicativity, convolution products to the setting of operators theory. We provide a significant ex…