The Phase-Space Noncommutativity Effect on the Large and Small Wavefunction Components Approach at Dirac Equation

Abstract

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 noncommutative phase-space, and we tested the effect of the phase-space noncommutativity on it, knowing that the nonrelativistic limit of the Dirac equation gives the Schr\"odinger-Pauli equation.