Abstract
We propose a direct derivation of the Lorentz generators for the four-potential of electrodynamics on the basis of Wigner’s theorem. The derivation relies on a study of the behaviour of polarisation vectors under -space differentiation. The Coulomb and Lorenz gauges are discussed in that respect, and gauge invariance under Poincaré transformations is examined. The Poincaré generators given by Białynicki-Birula and Białynicka-Birula are found to correspond to the Coulomb gauge case.
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