TITLE:
The Phase-Space Noncommutativity Effect on the Large and Small Wave-Function Components Approach at Dirac Equation
AUTHORS:
Ilyas Haouam
KEYWORDS:
Schrodinger-Pauli Equation, Noncommutative Nonrelativistic Limit, Noncommutativity of Phase-Space, Noncommutative Dirac Equation, Moyal Product, Bopp-Shift Transformation
JOURNAL NAME:
Open Access Library Journal,
Vol.5 No.9,
September
13,
2018
ABSTRACT: By the large and small wave-function components approach we achieved the nonrelativistic 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 Schrodinger-Pauli equation.