MARIA DE GUADALUPE CALDERA CABRAL
ESTUDIO DE LAS MATRICES DE BARUT, MUZINICH Y WILLIAMS PARA ESP N 1
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ABSTRACT.  In this Thesis the formulae are presented for the relativistic products of the matrices gamma_{\mu
u} of Barut,Muzinich and Williams for the spin 1. They are analogs of the Dirac matrices for the spin 1/2. They are found in the relativistic equations of Weinberg, Ticker and Hammer for 2(2S+1). Moreover, it was proven that the mapping exists between the Proca vector-tensor formalism and the 2(2S+1) formalism. The formulae of the relativistic products can be useful in the calculations of the scattering amplitudes, cross-sections and the energy spectra of the bound states 
for bosons.