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Prove commutation relation of galilei boosts and rotations

  1. Oct 28, 2015 #1
    1. The problem statement, all variables and given/known data
    Use the formulas given (which have been solved in previous questions) prove that


    where w_12 is a complex constant.

    From here, induce that


    where eps_abc is the fully anti-symmetric symbol

    2. Relevant equations

    The equations given to use are:




    3. The attempt at a solution

    First, I expanded the commutator given (cannot give here as I have reached max file upload for a single post), but after that I keep on looking at it and I'm not exactly sure how to proceed. I have proved the first and last of the "relevant equations" and have the expanded forms of that and I think I may have to use that but I am not sure.

    Any help would be appreciated.

    Attached Files:

    Last edited: Oct 28, 2015
  2. jcsd
  3. Oct 29, 2015 #2


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    What do you mean with expanded form?
  4. Nov 11, 2015 #3
    The taylor expansion
  5. Nov 12, 2015 #4


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    From the Taylor expansion of the last equation you gave, the second equation should follow directly given that epsilon is an arbitrary constant.
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