This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 C:\User\Teaching\505506\S11\HW06'sol.doc PHY 506 Classical Electrodynamics II Spring 2011 Homework 6 with solutions Problem 6.1 (10 points). Photon with wavelength is scattered by an electron, initially at rest. Considering the photon as an ultrarelativistic particle (with the rest mass m = 0), find wavelength of the scattered photon as a function of the scattering angle (see Fig. below). Solution : This the famous Compton scattering problem. It may be most simply solved by writing the laws of conservation of the total energy and momentum, in the lab reference frame: 2 / 1 2 2 2 2 2 c p c m ' c m e e , , p k k ' where p is the momentum of the electron after the collision (see Fig. above), and k = / c = 2 / . From the last equation, we can write cos ' 2 ' ) ( 2 2 2 2 2 2 kk k k ' p k k . (Notice that this is a useful way to avoid the introduction of the direction of vector p .) Plugging this expression into the first equation, and solving for...
View
Full
Document
This note was uploaded on 09/10/2011 for the course PHY 506 taught by Professor Stephens,p during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Stephens,P
 Mass, Work, Photon

Click to edit the document details