(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the total energy of the electron E>>m[itex]c^{2}[/itex]

Prove that the formula of wavelength would be

[itex]\lambda '[/itex]=[itex]\frac{hc}{E}[/itex](1+[itex]\frac{m^{2}c^{4}\lambda}{4hcE}[/itex])

where [itex]\lambda '[/itex] is the wavelenght after scattering

is the mass of electronm

2. Relevant equations

3. The attempt at a solution

I have proved that [itex]\lambda '[/itex]=[itex]\frac{\lambda(E-Pc)+2hc}{E+Pc}[/itex]

In my equation,is the initial momentum of the electron.P

I haven't use the given assumption E>>m[itex]c^{2}[/itex]. So we must use it to eliminate P.

But if E>>m[itex]c^{2}[/itex][itex]\Rightarrow[/itex] E[itex]\approx[/itex]Pc

this cannot get the answer

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# Compton Scattering of a photon by a moving electron

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