English

An Extended Poincare Algebra for Linear Spinor Field Equations

Mathematical Physics 2007-05-23 v3 math.MP

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 12{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.

Keywords

Cite

@article{arxiv.math-ph/0308015,
  title  = {An Extended Poincare Algebra for Linear Spinor Field Equations},
  author = {James Lindesay},
  journal= {arXiv preprint arXiv:math-ph/0308015},
  year   = {2007}
}

Comments

10 pages, typos corrected

R2 v1 2026-07-22T16:23:12.651Z