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An Extended Poincare Algebra for Linear Spinor Field Equations

2003/08/14 by James Lindesay, Lindesay, James · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0308015

10 pages, typos corrected

openalex publication_date 2003/08/14 · arxiv created 2003/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

When utilizing a cluster decomposible relativistic scattering formalism, it is most convenient that the covariant field equations take on a linear form with respect to the energy and momentum dispersion on the fields in the manner given by the Dirac form for spin 1 \over 2 systems. The general spinor formulation for arbitrary spins given in a previous paper is extended to include momentum operators. Unitary quantum mechanical representations are developed for these operators, and physical interpretations are suggested.

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