The development of six- and eight-component photon theories is presented. The reduction to the different previous four-component theories is carried out. A unitary Foldy-Wouthuysen transformation is given for the six-component theory. The existence of non-commutative energy-momentum operators with correct expectation values is pointed out. These operators are used, together with the usual Pauli-Lubanski four-pseudo-vector, to develop the eight-component theory systematically, starting from four-vector and pseudo-vector potentials. The chilar symmetry of the Lorentz group is exploited to describe two types of photons with electromagnetic fields (E, H) and (E, ?H) and positive energies; each has two states of polarization. Generalizing the Lorentz force in a chilar-symmetric way, it is found that the two fields cannot be distinguished experimentally in classical electrodynamics.
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- 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - Nuclear and High Energy Physics