[tex]\Psi[/tex]How to intepret the four components of the dirac spinor??????(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The exact meaning of the 4 components of the Dirac Spinor

Loading...

Similar Threads - exact meaning components | Date |
---|---|

I Exact meaning of the Uncertainty Relations | Apr 25, 2016 |

What exactly does a degree of freedom mean? | Nov 28, 2012 |

What does magnetic moment mean exactly? | Oct 1, 2011 |

What the wave function exactly mean? | Mar 24, 2011 |

What does this notation mean exactly? | Oct 28, 2010 |

**Physics Forums - The Fusion of Science and Community**