Abstract
Applying the tangent dynamics technique as generated by infinitesimal Lorentz transformations, it is shown that the components of an electromagnetic field correspond to the Lie-Cartan parameters of the group SO(3,1). Thus the maximum number of non-null components of the magnetic field (i.e., the number of the states of polarization) is not decided by the number of group generators.
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Argyris, J., Ciubotariu, C. & Andreadis, I. Infinitesimal Lorentz Transformations and the States of Polarization of Free Photons. Found Phys Lett 11, 277–285 (1998). https://doi.org/10.1023/A:1022497710362
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DOI: https://doi.org/10.1023/A:1022497710362