Poincaré Group and the Invariant Relativistic Equations for Massive Particles of Any Spin

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Abstract
The aim of this paper is to clarify some aspects of the connection between the Poincaré group and the invariant equations for nonzero‐mass particles of any spin (Bargmann‐Wigner equations). With this purpose we first make some general considerations about the representations of the Poincaré group and analyze the equivalence between the realizations corresponding to a given class and a selected ``canonical'' one which was given by Wigner. For the spin‐½ case the equivalence is given by the Chakrabarti transformation, and for higher spins we introduce a generalization of it; we also consider specifically the case S = 1. We give the form of the equations which provide the corresponding canonical realization; some comments about the equivalence of the theories provided by the different realizations are also made.

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