• Haibara Ai
In summary, the equation predicts that two electrons will annihilate (destroy each other) to form a positron (anti-electron), and this has been verified by observation.
Hi Haibara! (have a gamma: γ and a mu: µ and a psi: ψ and try using the X2 and X2 tags just above the Reply box )

This is Dirac's equation for an electron (or any other spin-half particle), with hbar = c = 1 …

(iγµµ - m)ψ …

or, in full …

i(γ0∂ψ/∂x0 + γ1∂ψ/∂x1 + γ2∂ψ/∂x2 + γ3∂ψ/∂x3) = mψ

ψ is a 4-component vector, and the gammas are 4x4 matrices

Paul Dirac invented it around 1928, and used it to predict that the electron had an anti-particle (the positron, which is antimatter), which was discovered many years later. For some more (but not very helpful ) detail, see http://en.wikipedia.org/wiki/Dirac's_equation

here is a complete course in relativistic quantum mechanics

http://www.phys.uAlberta.ca/~gingrich/phys512/latex2html/node20.html [Broken]

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tiny-tim said:
Hi Haibara! (have a gamma: γ and a mu: µ and a psi: ψ and try using the X2 and X2 tags just above the Reply box )

This is Dirac's equation for an electron (or any other spin-half particle), with hbar = c = 1 …

(iγµµ - m)ψ …

or, in full …

i(γ0∂ψ/∂x0 + γ1∂ψ/∂x1 + γ2∂ψ/∂x2 + γ3∂ψ/∂x3) = mψ

ψ is a 4-component vector, and the gammas are 4x4 matrices

Paul Dirac invented it around 1928, and used it to predict that the electron had an anti-particle (the positron, which is antimatter), which was discovered many years later. For some more (but not very helpful ) detail, see http://en.wikipedia.org/wiki/Dirac's_equation

tiny tim i got a question, i am a beginner in physics but i have being reading about the hypothetical neutralino the particle that is say to be the dark matter particle and my doubt is the annihilations between tem caused by the weak force.Thank you very much for your help.

richard14 said:
tiny tim i got a question, i am a beginner in physics but i have being reading about the hypothetical neutralino the particle that is say to be the dark matter particle and my doubt is the annihilations between tem caused by the weak force.Thank you very much for your help.

erm … that's completely different …

please start a new thread Thanks, that helped a lot!