Use of group theory and Clifford algebra in the study of generalized Dirac equation for particles with arbitrary spin

contains many of the features of the Dirac theory. The theory of spin-s free particles has been also developed by Proca [4], Kemmer [5] and Bargmann and Wigner [6]. All of these formalisms for spin-s free particles have many intrinsic contradictions and difficulties when an electromagnetic field interaction is introduced (see [7] and references therein). It should be noted that the mathematical structure of our study is different from all of the approaches which are available in the literature. Therefore, the generalized Dirac equation presented in this work can not be reduced to them. By the use of group theory and Cliffford algebra, we have shown in [8] that the generalized Dirac equation for the particles with arbitrary halfintegral spin is consistent and causal in the presence of an electromagnetic field interaction. The aim of this work is, using the method set out in [8], to establish the generalized Dirac