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Journals and Conferences
In this paper, we construct a covariant differential calculus on a quantum plane with two-parametric quantum group as a symmetry group. The two cases d = 0 and d = 0 are completely established. We also construct differential calculi n = 2 and n = 3 nilpotent on super quantum spaces with one and two-parametric symmetry quantum supergroup.
A new realization model of controlled-not (C-NOT) three gates operations, between two atoms and coherent light. The proposed interaction model allows to earn more interaction time compared with the C-NOT two gates model of the reference work. As investigation of the obtained results, we enhance and optimize a recent teleportation work via coherent cavity… (More)
Generalized Zk-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors. Recently in  we have constructed coherent… (More)
We give a general approach for the construction of deformed oscillators. These ones could be seen as describing deformed bosons. Basing on new definitions of certain quantum series, we demonstrate that they are nothing but the ordinary exponential functions in the limit when the deformation parameters goes to one. We also prove that these series converge to… (More)
A generalized definition of a deformation of the fermionic oscillator (k-fermionic oscillators) is proposed. Two prescriptions for the construction of generalized Grassmann coherent states for this kind of oscillators are derived. The two prescriptions differs in the nature of the generalized Grassmann variables used. While we use Majid’s definition for… (More)
A dynamical algebra Aq, englobing many of the deformed harmonic oscillator algebras is introduced. One of its special cases is extensively developed. A general method for constructing coherent states related to any algebra of the type Aq is discussed. The construction following this method is carried out for the special case.