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the volume integral of the [tex]\Psi[/tex]^T*[tex]\Psi[/tex] give the probability of finding the releativistic electron in a given voulme of space but what exactly do the four

components really mean.

I have read in many Pop physics books that the 4 components mean the following

--the magnitude square of the first component gives the prob that electron is spinning up with positve energy

-- the magnitude square of second component gives the prob that electron is spinning down with positve energy

--the magnitude square of the third component gives the prob that electron is spinning up with negative energy state

-- the magnitude square of fourth component gives the prob that electron is spinning down in negative energy state

But when i started reading Advanced quantum mechanics By J.J sakurai ;

i realized that the above identification makes no real sense.

And the author himself commented on this common misintepretation