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Relating the Laplacian to the Quantum Angular Momentum

  1. Sep 13, 2008 #1
    This is my first post, so if it belongs somewhere else, please help me out. I've got a homework problem that I believe I solved, but I'm not sure if I did it right. (It seems too easy this way.)

    I am given that [tex]\vec{L}[/tex]=-i([tex]\vec{r}[/tex]X[tex]\nabla[/tex]). I have to prove the relation that:


    To solve this, I did the following:



    which yields:


    I apologize for the bad formatting. I can't figure out how to fix it. The black dot is the dot product. Assume that the black dot, the del, and the partial d's should all be lowered.
  2. jcsd
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