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Computing Normalisation Constant A

  1. Dec 22, 2008 #1
    1. The problem statement, all variables and given/known data

    Question: Given that Wavefunction Fi = A exp[b*mod(x)], which b is a non zero positive constant. Calculate the normalisation constant.

    2. Relevant equations

    1 = Integrating Mod square (Wavefunction) from minus infinity to positive infinity

    3. The attempt at a solution

    It's the mod(x) there which I don't really know how to deal with it. Could anyone please help me out? Many Thanks!
  2. jcsd
  3. Dec 22, 2008 #2


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    By mod(x) do you mean the absolute value of x- |x|?

    If so

    HINT: Remember that |x|=-x if x<0 and |x|= x if x>0.

    Use this fact and split the integral into the sum of two integrals, one from [itex]-\infty[/itex] to 0 and the other from 0 to [itex]\infty[/itex].
  4. Dec 23, 2008 #3

    Thanks a lot, I think I've got it now!

  5. Dec 23, 2008 #4


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    No problem! :smile:
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