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Radiation from a particle

  1. Aug 14, 2012 #1
    1. The problem statement, all variables and given/known data
    Does a particle in hyperbolic motion radiate?
    3. The attempt at a solution
    Griffiths say to use these 2 equations.
    [itex] w(t)= \sqrt{b^2+(ct)^2} [/itex]
    [itex] p= \frac{\mu_0q^2a^2 {\gamma}^6}{6\pi c} [/itex]
    gamma is the Lorentz factor
    w(t) is a function of time that describes position. now do I take the first derivative with respect to position to get v so I can plug that into the power equation and then take the derivative again to get a. I'm assuming that b is a constant. any help will be much appreciated.
     
    Last edited by a moderator: Aug 22, 2012
  2. jcsd
  3. Aug 14, 2012 #2

    gabbagabbahey

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    Yes and yes. You should find that the power radiated is constant(!)
     
  4. Aug 22, 2012 #3

    TSny

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    Cragar, that's a fairly famous question that I don't think has been definitively answered. I'm certainly not qualified to answer it. I think Pauli once argued that there should be no radiation for hyperbolic motion. For an interesting discussion, see http://www.mathpages.com/home/kmath528/kmath528.htm
     
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