The Foldy-Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase-Space
作者机构：Département de PhysiqueFacultédes sciences exactesUniversitédes Frères MentouriConstantineAlgeria
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2018年第9卷第11期
页 面：2021-2034页
主 题：Foldy-Wouthuysen Transformation Nonrelativistic Limit Noncommutative Schrodinger-Pauli Equation Phase-Space Noncommutativity Noncommutative Dirac Equation Moyal Product Bopp-Shift Translation
摘 要：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).
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