Abstract
We describe a massless particle belonging to the D1,0 ⊕ D0,1 representation ofSL 2,C by means of pseudoclassical mechanics, starting by a set of first-class constraints. By canonical quantization one obtains the one-photon wave functions in the Lorentz gauge, whereas by path integral quantization one finds the noncovariant transverse free propagator. In the reduced phase space, the canonical variables are manifestly covariant only under0 2 ⊠ R4 and can be quantized by using the Angelopoulos-Bayen-Flato operators. By means of a distribution function g on the Grassmann variables we obtain the description of a classical ray of light with the associated Stokes parameters. The quantization of ρ gives the quantum Stokes parameters.
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