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

DOI: 10.4236/oalib.1104108, PP. 1-10

Subject Areas: Modern Physics, Mathematical Analysis, Theoretical Physics, Quantum Mechanics, Applied Physics

Keywords: Schrodinger-Pauli Equation, Noncommutative Nonrelativistic Limit, Noncommutativity of Phase-Space, Noncommutative Dirac Equation, Moyal Product, Bopp-Shift Transformation

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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.

Cite this paper

Haouam, I. (2018). The Phase-Space Noncommutativity Effect on the Large and Small Wave-Function Components Approach at Dirac Equation. Open Access Library Journal, 5, e4108. doi: http://dx.doi.org/10.4236/oalib.1104108.

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