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Homework Help: Normalizing a wavefunction f(x) = e^-|2x|

  1. Nov 5, 2008 #1
    1. The problem statement, all variables and given/known data
    This isI n't formatted properly because I don't have much time.

    The wave function is f(x) = e^-|2x|

    I need to normalize this function

    2. Relevant equations

    The normalization condition is

    S f^2dx=1

    (that S is an "integral" sign and the limits are from - infinity to + infinity)

    3. The attempt at a solution

    S [(Ae^-|2x|)^2]dx = 1

    A^2 S (e^-2|2x|)dx = 1

    A^2 S (e^-4x)dx = 1

    (-1/4)(A^2)(e^-4(infinity) - e^-4(0)) = 1
    (-1/4)(A^2)(-1) = 1
    A = sqrt(4)
    A = 2

    this doesn't seem right? can someone help? I'm pressed for time.
    Last edited: Nov 5, 2008
  2. jcsd
  3. Nov 5, 2008 #2
    You missed a factor of 2 when you went from an integral from -infty to +infty, to an integral from -infty to 0.
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