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An Extended Poincare Algebra for Linear Spinor Field Equations

James Lindesay
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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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James Lindesay. 2003-10-05. An Extended Poincare Algebra for Linear Spinor Field Equations. https://arxiv.org/abs/math-ph/0308015

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