Module 5 : MODERN PHYSICS
Lecture 25 : Derivation of Compton's Formula
Derivation of Compton's Formula
Consider a photon of energy $ h\nu_0$ and momentum $ p_i = h\nu_0/c$ colliding elastically with an electron at rest. Let the direction of incoming photon be along the x-axis. After scattering, the photon moves along a direction making an angle $ \theta$ with the x-axis while the scattered electron moves making an angle $ \phi$. Let the magnitude of the momentum of the scattered electron be $ p_e$ while that of the scattered photon be $ p_f$.
 
\includegraphics{fig4.11.eps}
  See the animation
   
4
5
10