Journal of Modern Physics

Volume 9, Issue 11 (September 2018)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.86  Citations  h5-index & Ranking

The Foldy-Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase-Space

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DOI: 10.4236/jmp.2018.911127    1,873 Downloads   5,482 Views  Citations

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).

Share and Cite:

Haouam, I. and Chetouani, L. (2018) The Foldy-Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase-Space. Journal of Modern Physics, 9, 2021-2034. doi: 10.4236/jmp.2018.911127.

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[6] Continuity Equation in the Presence of a Non-local potential in Non-Commutative Phase-Space
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[7] The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space
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[8] Lewis-Riesenfeld Approach to the Solution of Dirac Equation in Time-Dependent Non-Commutative Phase-Space
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