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In this article, we studied the system of (2+1) dimensional Dirac equation intime-dependent noncommutative phase-space. Exactly, we investigated theanalytical solution of the corresponding system by the Lewis-Riesenfeldinvariant method based on the construction of the Lewis-Riesenfeld invariant.Knowing that we obtained the time-dependent Dirac Hamiltonian of the problem inquestion from a time-dependent Bopp-Shift translation, then it used to set theLewis-Riesenfeld invariant operators. Thereafter, the obtained results used toexpress the eigenfunctions that lead to determining the general solution of thesystem.

Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space