So I definitely believe that the continuity of the Dirac equation holds, there is one thing that annoys me, which is that(adsbygoogle = window.adsbygoogle || []).push({});

[tex] c \alpha . (-i \hbar \nabla \psi ) = c (i \hbar \nabla \psi^\dagger ) . \alpha [/tex]

from the first part of the Dirac Hamiltonian

because the momentum operator should be Hermitian, but there is clearly a change of sign. I realise that the Hermitian conjugate of the spinor is now differently oriented, but shouldn't there be a change in ∇ such that its hermitian adjoint is negative itself to preserve the Hermitian nature of p?

I'm quite happy to try and prove this myself, but im a bit lost as to where to start

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# Dirac equation continuity issue

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