I'm having a problem writing the third Dirac current eq.(adsbygoogle = window.adsbygoogle || []).push({});

$$1 = \int ψ^t \gamma^0 \gamma^2 ψ$$

which should come out as

$$1 = \int i ψ^0 ψ^3 - i ψ^1 ψ^2 + i ψ^2 ψ^1 - i ψ^3 ψ^0$$

By inspection the first and last terms add to zero and the second and third terms add to zero, so the integral cannot equal one. I checked my matrix math, calculated new gammas but nothing works. Am I making a typo error somewhere or what? Thanks

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# Dirac current probablities

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