17 citations · 53 across the 22 of their papers we have counts for
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Coherent states for the exotic Landau problem and related properties
Isiaka Aremua
This work presents a comprehensive study of the exotic Landau model in a two-dimensional noncommutative plane. Beginning with the classical formulation where two conserved quantiti…
Nonextensive statistics for a 2D electron gas in noncommutative spaces
Bienvenu Gnim Adewi, Isiaka Aremua
This work investigates a quantum system described by a Hamiltonian operator in a two dimensional noncommutative space. The system consists of an electron subjected to a perpendicul…
Teleportation of a qubit using exotic entangled coherent states
Isiaka Aremua, Laure Gouba
In this paper, we study the exotic Landau problem at the classical level where two conserved quantities are derived. At the quantum level, the corresponding quantum operators of th…
Unitary maps on Hamiltonians of an electron moving in a plane and coherent states construction
Isiaka Aremua, Laure Gouba
In this work we consider a model of an electron moving in a plane under uniform external magnetic and electric fields. We investigate the action of unitary maps on the associated q…
Coherent states for a system of an electron moving in a plane: case of discrete spectrum
Isiaka Aremua, Laure Gouba
In this work, we construct different classes of coherent states related to a quantum system, recently studied in [1], of an electron moving in a plane in uniform external magnetic…
Solving oscillations problems through affine quantization
Isiaka Aremua, Laure Gouba
In this paper the benefits of affine quantization method are highlighted through oscillation problems. We show how affine quantization is able to solve oscillation problems where c…
Action-angle coherent states for quantum systems with cylindric phase space
I. Aremua, J. P. Gazeau, M. N. Hounkonnou
Quantum versions of cylindric phase space, like for the motion of a particle on the circle, are obtained through different families of coherent states. The latter are built from va…