Dirac Like Equation for Free Particles of Any Spin

Abstract

Adopting different matrix representations of the Clifford Cl3 algebra, a Dirac like equation provides a general relativistic wave equation that can describe particles of any spin. In analogy with the Dirac spinors, the wave functions split into two spinors, one accounting for a particle with a definite four momentum and one designating a helicity Eigen-state. Rewritten in spherical coordinates, generic solutions for any spin are presented.