All of it from the most ground-up approach possible. The rst builds. This is, it is translation invariant. First let’s see why Dirac Equation is so important. Moreover, it is a linear partial di erential The Dirac equation is one of the two factors, and is conventionally taken to be p m=(31) Making the standard substitution, p!i@ we then have the usual covariant form of the Dirac equation (i @ m) =(32) where @ = (@ @t;@ @x;@ @y;@ @z), m is the particle mass and the matrices are a set ofdimension