184 citations · 1.2k across the 92 of their papers we have counts for
21 papers · 1 filter
Generalized Grassmann variables for quantum kit (k-level) systems and Barut-Girardello coherent states for su(r+1) algebras
M. Daoud, L. Gouba
This paper concerns the construction of Barut--Girardello coherent states in term of generalized Grassmann variables. We first introduce a generalized Weyl-Heisenberg alg…
A polynomial class of algebras
M. Daoud, W. S. Chung
A -parameter algebra is introduced. Finite unitary representations are investigated. This polynomial algebra reduces via a contraction proce…
Generalized fermion algebra
Won Sang Chung, Mohammed Daoud
A one-parameter generalized fermion algebra is introduced. The Fock representation is studied. The associated coherent states are constructed and the polynomial rep…
Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
M. Daoud, A. Hamama
We clearly show that the symplectic structures deformations lead, upon quantization, to quantum theories of non commutative fields. Two variants of deformations are considered. The…
Noncommutative scalar fields from symplectic deformation
M. Daoud, A. Hamama
This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space time. It is shown that the noncommutativity originates from the the deforma…
Chiral bosons on Bargmann space associated with A Statistics
M. Daoud, A. Hamama
We consider a large collection of particles obeying statistics. The system behaves like a quantum droplet characterized by a constant Husimi distribution. We show that the ex…