Demonstrations of Dirac equation covariance state:
The Dirac equation is
(i γ^{μ} ∂_{μ} - m)ψ(x) = 0. \ \ \ \ \ \ \ \ \ \ [1]
If coordinates change in a way that
x \rightarrow x' = Lx, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2]
where L is a Lorentz transformation, [1] should...