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Compton Scattering in Newtonian Physics

  1. Jan 29, 2010 #1
    1. The problem statement, all variables and given/known data
    Derive the equation non-relativistic equation for Compton scattering

    (mc^2) [(1/E2)-(1/E1)]+cos(theta)-[((E1-E2)^2)/(2E1E2)]=1

    E1 = Incident Photon's energy
    E2 = Scattered Photon's energy
    theta= scattering angle
    m = mass of electron
    c = s

    Here is the lab
    In other words derive equation 2

    http://www.physics.uoguelph.ca/~reception/2440/RelativMech-Compton-Jan10-08.pdf


    2. Relevant equations

    Conservation of Energy,conservation of mass, cosine law

    3. The attempt at a solution

    I've derived the first equation on the lab (relativistic approach)
    I am really stumped on how to derive this...its been 4 hours and counting...
    Any help at all would be appreciated. I feel like I'm really close but the algebra is the problem

    Thanks in advance for your help guys and gals,

    Truly appreciated
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Jan 29, 2010 #2

    vela

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    How did you set up the problem?

    Here are some suggestions to make the algebra easier:

    1. Write the kinetic energy of the electron as [itex]p^2/(2m)[/itex].
    2. Don't break the conservation of momentum equation into components.
    3. Isolate the electron's momentum in the conservation of momentum equation on one side and then square the equation.
     
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