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Kronecker delta integrale

  1. Jan 25, 2014 #1
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 25, 2014 #2
    Hi all,

    How to know the value of kronecker delta integrale ## \int \delta(m_h-2E) dE ## ?

    Best,
    S.
     
  4. Jan 25, 2014 #3

    vanhees71

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    2016 Award

    It doesn't make sense to have a Kronecker [itex]\delta[/itex] in this integral. Isn't this rather a Dirac [itex]\delta[/itex] distribution?

    If so, you may use the formula
    [tex]\int_{\mathbb{R}} \mathrm{d} x \delta[f(x)] g(x)=\sum_{j} \frac{1}{\left |f'(x_j) \right|} g(x_j),[/tex]
    where [itex]f[/itex] is a function that has only 1st order roots [itex]x_j[/itex].
     
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