- #1
cooev769
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So i have an equation to calculate the impossibility of pair production during photon decay into two electrons and I'm having to do some momentum conservation, can't quite do it but a colleague of mine has suggested this which I don't particularly agree with some help would be appreciated.
So we have some numbers which are constants and one we know is < 0 because its a square negative. He suggests using something like the simple example below which clearly doesn't work if you could suggest why that would be great.
-100+3=-97<0
Rearrange to
3=3<0
He did the same thing but with energies, where k is a constant:
k -Ea^2/c^2 - Eb^2/c^2 - 2EaEb/c^2 = -Ei^2/c^2 < 0
Just rearranged to:
Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 -Ei^2/c^2 < 0
Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 < Ei^2/c^2
I'm not happy with this proof.
So we have some numbers which are constants and one we know is < 0 because its a square negative. He suggests using something like the simple example below which clearly doesn't work if you could suggest why that would be great.
-100+3=-97<0
Rearrange to
3=3<0
He did the same thing but with energies, where k is a constant:
k -Ea^2/c^2 - Eb^2/c^2 - 2EaEb/c^2 = -Ei^2/c^2 < 0
Just rearranged to:
Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 -Ei^2/c^2 < 0
Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 < Ei^2/c^2
I'm not happy with this proof.