Relativistic Spinor Formulation of Stokes Parameters with Application to the Inverse Compton Effect

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Abstract
A formulation of the Stokes Parameters for light is found in terms of second‐rank antisymmetric spinors, and arbitrary Lorentz transformations are made by using the unimodular representation of the Lorentz group. A three‐component spinor form is established along with its accompanying representation of the Lorentz group, and the connection with the photon spin is explicitly shown. Differential Compton cross sections for any Lorentz frame are calculated. These are seen to be invariant only for particular polarization reference directions.