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L. T. of f(x,t)+g(x,t) = [L.T. f(x,t)]+[L.T. g(x,t)]?

  1. Feb 19, 2015 #1
    Suppose I have a pair of solutions of the one dimensional massless complex wave equation in 1+1 dimensional spacetime, solutions with equal and opposite momentum in some rest frame,

    Ψ+ = exp[-i(Et+px)]
    Ψ- = exp[-i(Et-px)]

    Does it matter if

    1) I sum Ψ+ and Ψ- and then preform a Lorentz Transformation, or
    2) preform the Lorentz Transformation, L.T., on Ψ+ and Ψ- and then sum?

    L. T. [f(x,t)+g(x,t)] = [L.T. f(x,t)]+[L.T. g(x,t)] ?

    I think the answer is it should not matter the order of operation but I am having trouble simplifying my algebra. Just wondering if there is light at the end of the tunnel.

    Thanks for any help!
     
  2. jcsd
  3. Feb 24, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Feb 24, 2015 #3
    Probably keep it on the back burner till this weekend. Thanks.
     
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