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math-ph2026
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…
math-ph2020
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…
math-ph2019
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…