TITLE:
The Foldy-Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase-Space
AUTHORS:
Ilyas Haouam, Lyazid Chetouani
KEYWORDS:
Foldy-Wouthuysen Transformation, Nonrelativistic Limit, Noncommutative Schrödinger-Pauli Equation, Phase-Space Noncommutativity, Noncommutative Dirac Equation, Moyal Product, Bopp-Shift Translation
JOURNAL NAME:
Journal of Modern Physics,
Vol.9 No.11,
September
14,
2018
ABSTRACT: A method of Foldy-Wouthuysen transformation for relativistic spin-1/2 particles in external fields is proposed; in the present work the basic properties of the Dirac hamiltonian in the FW representation in the noncommutative phase-space are investigated and the Schrödinger-Pauli equation is found, knowing that the used methods for extracting the full phase-space noncommutative Dirac equation are, the Bopp-shift linear translation method, and the Moyal-Weyl product (*-product).