Abstract
It is shown that the Bargmann-Wigner equations can be written in anSO(4, 2)-covariant form. As well as the Lorentz rotations, theSO(4, 2) group contains a space-inversion and a time-reflection operator (which are different from the usual ones). It also contains the Foldy-Wouthuysen and Cini-Touschek transformations. The spin-s theory for the massive and massless cases, and also a set of Bargmann-Wigner equations corresponding to space-like four-momentum, are all given by the sameSO(4, 2)-covariant equations, and their solutions can be obtained by transforming the solutions corresponding to the special “gauge” in which the four-momentum vanishes.
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