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americanforest

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## Homework Statement

Not homework, just for fun. I want to derive Compton Scattering equations using Mandel-Stam variables as opposed to the way that I have done it in class using the usual energy and momentum conservation

## Homework Equations

[tex](p_\mu+p_{ei}_\mu)^2=(p'_\mu+p_e_\mu)^{2}=s[/tex]

p is the momentum of incoming photon and pei is of initially stationary electron. p' is final photon and p_e_\mu is final electron.

## The Attempt at a Solution

I'm going to try to do the right side in the CMS frame and the left side in the lab frame for convencience.

[tex]Em_e=2EE_e_[/tex]

...skip a few easy steps using

[tex]E=\sqrt{p^{2}+m^{2}}[/tex]

[tex]E^{2}-E'^{2}=\frac{p_e_^2}{me^{2}}[/tex]

Which isn't right. What's wrong here?

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