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Relativistic Invariance Part Two

  1. Dec 9, 2003 #1
    I am asked to prove that the d'Alembertian operator (the 4 dimensional Laplacian operator) |_|^2 is a lorentz invariant operator. Do I just multiply the Lorentz transformation matrix by the second partial derivatives with respect to four space?
     
    Last edited: Dec 9, 2003
  2. jcsd
  3. Dec 10, 2003 #2

    turin

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    I suppose you could do that. But I would just show that it is a scalar. Show that it is a contraction of a 1st rank tensor with itself. Use the Minkowski metric tensor to raise the index of one of the partial derivatives and it should be obvious.
     
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