18 citations · 87 across the 10 of their papers we have counts for
11 papers
Schrodinger Oscillator and its Thermal Properties in a Dynamical Noncommutative Space
Ilyas Haouam
In this paper, we study the two-dimensional Schrodinger oscillator within a dynamical noncommutative (DNC) space. By leveraging perturbation theory, we derive the energy eigenvalue…
Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
Ilyas Haouam
We study graphene in an external magnetic field within a noncommutative (NC) framework. A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-ope…
Ehrenfest's Theorem for the Dirac Equation in Noncommutative Phase-Space
Ilyas Haouam
In this article, we investigate Ehrenfest's theorem from the Dirac equation in a noncommutative phase-space where we calculate the time derivative of the position and the kinetic m…
Quantum mechanics on a circle with a finite number of α-uniformly distributed points
Won Sang Chung, Ilyas Haouam, Hassan Hassanabadi
In this paper, quantum mechanics on a circle with finite number of α-uniformly distributed points is discussed. The angle operator and translation operator are defined. Using discr…
Dynamical Noncommutative Graphene
Ilyas Haouam, S Ali Alavi
We study graphene in a two-dimensional dynamical noncommutative space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second…
Two-dimensional pauli equation in noncommutative phase-space
Ilyas Haouam
In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. We mapped the…
On the Three-Dimensional Pauli Equation in Noncommutative Phase-Space
Ilyas Haouam
In this paper, we obtained the three-dimensional Pauli equation for a spin-1/2 particle in the presence of an electromagnetic field in noncommutative phase-space, as well the corre…
On the Fisk-Tait Equation for Spin-3/2 Fermions Interacting With an External Magnetic Field in Noncommutative Space-Time
Ilyas Haouam
In this paper, we investigated the Fisk-Tait equation in interaction with an external magnetic field in noncommutative space-time. Knowing that the space-time noncommutativity is i…
Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space
Ilyas Haouam
In this article, we studied the system of (2+1) dimensional Dirac equation in time-dependent noncommutative phase-space. Exactly, we investigated the analytical solution of the cor…
Continuity Equation in Presence of a Non-local potential in Non-Commutative Phase-Space
Ilyas Haouam
We studied the continuity equation in presence of a local potential, and a non-local potential arising from electron-electron interaction in both commutative and non-commutative ph…
The Phase-Space Noncommutativity Effect on the Large and Small Wavefunction Components Approach at Dirac Equation
Ilyas Haouam
By the large and small wave-function components approach we achieved the nonrela-tivistic limit of the Dirac equation in interaction with an electromagnetic potential in noncommuta…