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## Main Question or Discussion Point

Can anyone explain to me how these fit into the bigger picture of the Dirac equation, or suggest a reference?

The only thing I've been able to absorb from reading about these is that they explain the choice of normalization for plane waves [itex]\psi[/itex] (since [itex]\psi^\dag\psi[/itex] is the fourth component of a 4-vector and hence must transform as the 4th component of the momentum-energy vector).

Incidentally, I've been reading about how solution to the charge conjugated Dirac equation is a negative energy state, thus giving support to the ``positron ~ negative energy solution to Dirac equation" theory.

Is there any physical reason why the bilinear covariants should be invariant under charge conjugation?

The only thing I've been able to absorb from reading about these is that they explain the choice of normalization for plane waves [itex]\psi[/itex] (since [itex]\psi^\dag\psi[/itex] is the fourth component of a 4-vector and hence must transform as the 4th component of the momentum-energy vector).

Incidentally, I've been reading about how solution to the charge conjugated Dirac equation is a negative energy state, thus giving support to the ``positron ~ negative energy solution to Dirac equation" theory.

Is there any physical reason why the bilinear covariants should be invariant under charge conjugation?