17 citations · 53 across the 22 of their papers we have counts for
23 papers
Topological analysis in anisotropic sector and nuclear space on quantum deformed algebra
Kawèyim Lankpetre, Isiaka Aremua, Joseph Désiré Bukweli Kyemba
The purpose of this article is to develop and analyze topological analysis of the classical nuclear space within the general framework of calc…
Constructing Barut-Girardello coherent states for the isotonic oscillator in the DOOT approach
Messan Médard Akouetegan, Isiaka Aremua, Mahouton Norbert Hounkonnou
In this work, we study the quantum system of the isotonic oscillator from the perspective of the diagonal operator ordering technique (DOOT). Within this framework, we construct th…
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…
Spectral Barron spaces of vector-valued functions on compact groups
Yaogan Mensah, Isiaka Aremua
In this article, we study spectral Barron spaces whose elements are Banach space-valued functions on a compact group whose Fourier transforms admit a certain summability property.…
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…
Thermodynamics for an electron gas in a uniform magnetic field in nonextensive statistics
Bienvenu Gnim Adewi, Isiaka Aremua, Laure Gouba
This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, co…
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…
Generalized hypergeometric coherent states for special functions: mathematical and physical properties
Isiaka Aremua, Messan Médard Akouetegan, Komi Sodoga +2
In continuation of our previous works J. Phys. A: Math. Gen. 35, 9355-9365 (2002), J. Phys. A: Math. Gen. 38, 7851 (2005) and Eur. Phys. J. D 72, 172 (2018), we investigate a class…
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…
Coherent states for a system of an electron moving on plane
Isiaka Aremua, Laure Gouba
In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the…
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…
Density operator approach for Landau problem quantum Hamiltonians
Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloitcha
In this work, the definition of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calc…
On Hilbert-Schmidt operator formulation of noncommutative quantum mechanics
Isiaka Aremua, Ezinvi Baloitcha, Mahouton Norbert Hounkonnou +1
This work gives value to the importance of Hilbert-Schmidt operators in the formulation of a noncommutative quantum theory. A system of charged particle in a constant magnetic fiel…
Shape invariant potential formalism for photon-added coherent state construction
Komi Sodoga, Isiaka Aremua, Mahouton Norbert Hounkonnou
An algebro-operator approach, called shape invariant potential method, of constructing generalized coherent states for photon-added particle system is presented. Illustration is gi…
Photon-added coherent states for shape invariant systems
Komi Sodoga, Mahouton Norbert Hounkonnou, Isiaka Aremua
This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed. A statistical computati…
Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties
K. Sodoga, I. Aremua, M. N. Hounkonnou
This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions introduced in our previous work (Hounko…
On nonlinear coherent states properties for electron-phonon dynamics
Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloïtcha
This work addresses a construction of a dual pair of nonlinear coherent states (NCS) in the context of changes of bases in the underlying Hilbert space for a model pertaining to th…
Coherent states for Landau levels: algebraic and thermodynamical properties
Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloïtcha
This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular mag…
Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states
M. N. Hounkonnou, I. Aremua
The behavior of an electron in an external uniform electromagnetic background coupled to a harmonic potential, with noncommuting space coordinates, is considered in this work. The…
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…
Deepening the vector coherent state analysis: Revisiting the harmonic oscillator
I. Aremua, J. Ben Geloun, M. N. Hounkonnou
Vector coherent states (VCS) viewed as a generalization of ordinary coherent states for higher rank tensor Hilbert spaces are investigated. We consider a systematic way of generati…
Vector coherent states for nanoparticle Hamiltonians
Isiaka Aremua, Mahouton Norbert Hounkonnou
The first part of this work deals with a formalism of vector coherent states construction for a system of Fermi-type modes associated with bosonic modes. Then follows a gen…