- #1
The_ArtofScience
- 83
- 0
The Compton effect does make sense conceptually but I'm having trouble with the actual derivation.
The equation starts out from the principles of conservation of energy and mass: [tex]E_{\gamma}[/tex]+[tex]E_{e}[/tex]=[tex]E_{\gamma'}[/tex]+[tex]E_{e'}[/tex]
which strangely proceeds into the form: [tex]\ E-E'}+m[/tex]=[tex]\sqrt{p^2+m^2}}[/tex] The [tex]\sqrt{p^2+m^2}}[/tex] actually expands into [tex](E-E'cos\theta)^2{}+m^2[/tex] when the RHS is squared
So my question is where does the [tex]\sqrt{p^2+m^2}}[/tex] come from and why does it expand to [tex](E-E'cos\theta)^2{}+m^2[/tex]?
The equation starts out from the principles of conservation of energy and mass: [tex]E_{\gamma}[/tex]+[tex]E_{e}[/tex]=[tex]E_{\gamma'}[/tex]+[tex]E_{e'}[/tex]
which strangely proceeds into the form: [tex]\ E-E'}+m[/tex]=[tex]\sqrt{p^2+m^2}}[/tex] The [tex]\sqrt{p^2+m^2}}[/tex] actually expands into [tex](E-E'cos\theta)^2{}+m^2[/tex] when the RHS is squared
So my question is where does the [tex]\sqrt{p^2+m^2}}[/tex] come from and why does it expand to [tex](E-E'cos\theta)^2{}+m^2[/tex]?