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On the determination of the relativistic wave equations associated with a given representation of <i>S</i> <i>L</i> (2,<i>C</i>)

On the determination of the relativistic wave equations associated with a given representation of <i>S</i> <i>L</i> (2,<i>C</i>)

Straightforward algebraic techniques are presented and used to determine the structure of wave equations whose relativistic covariance is governed by two representations of SL (2,C), S0(ฮ›) = (1,1/2) โŠ• (1/2,1) โŠ• (1/2,0) โŠ• (0,1/2) and S1(ฮ›) = S0(ฮ›) โŠ• (1/2,0) โŠ• (0,1/2), subject to the requirements that the equations should โ€ฆ