Usage
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
- .
Read more about this topic: Dirac Adjoint
Famous quotes containing the word usage:
“I am using it [the word perceive] here in such a way that to say of an object that it is perceived does not entail saying that it exists in any sense at all. And this is a perfectly correct and familiar usage of the word.”
—A.J. (Alfred Jules)
“Pythagoras, Locke, Socratesbut pages
Might be filled up, as vainly as before,
With the sad usage of all sorts of sages,
Who in his life-time, each was deemed a bore!
The loftiest minds outrun their tardy ages.”
—George Gordon Noel Byron (17881824)
“Girls who put out are tramps. Girls who dont are ladies. This is, however, a rather archaic usage of the word. Should one of you boys happen upon a girl who doesnt put out, do not jump to the conclusion that you have found a lady. What you have probably found is a lesbian.”
—Fran Lebowitz (b. 1951)