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Dirac delta and divergence

  1. Sep 14, 2009 #1
    I know that this question was posted before but I just couldn't get it using another way around. So your comments are highly appreciated. In the textbook, [tex]\nabla\bullet\left(\widehat{r}/r^{2}\right)=4\pi\delta^{3}\left(r\right)[/tex]. But when I want to calculate the divergence using Catesian coordinates then it comes to calculate [tex]{\frac{\partial}{\partial\,x} x/(x^{2}+y^{2}+z^{2})^{3/2}}[/tex] but I can't get the results of "zero" as it claimed. Where did I go wrong?
     
  2. jcsd
  3. Sep 14, 2009 #2
    You have to add three derivatives to get zero, not only x-component. You will obtain 1/r3 - 1/r3.
     
    Last edited: Sep 14, 2009
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