Talk:Dirac adjoint

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Unless there are objections, I shall replace the Usage section with the below. The probability density is incorrect in the current version. Some formatting may need to be improved. Xxanthippe 05:56, 25 February 2007 (UTC)

Usage[edit]

Using the Dirac adjoint, the conserved probability four-current density for a spin-1/2 particle field

where is the probability density and j the probability current 3-density can be written as

where c is the speed of light. Taking and using the relation for Gamma matrices

the probability density becomes

.