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Wave function,probability,normalization,etc.

  1. Feb 12, 2014 #1
    1. The problem statement, all variables and given/known data
    -∞<pi<∞
    N-normalization multiple

    f(px)=N*exp(-[itex]\alpha[/itex]px)
    1)normalize wave function to 1
    2) find probability distrubution px
    2) find avarage value and dispersion for px

    2. Relevant equations

    So for normalization i have to find N value when [itex]\int[/itex] (from -∞ to ∞)[N*exp(-[itex]\alpha[/itex]px)]^2=1
    Am I right ?
    either way when Im tried to solve this integral, i obtained -> -N^2=1
    Could it be right ?

    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 12, 2014 #2
    Your integral diverges, are you sure there's no square or absolute value involved?
     
  4. Feb 12, 2014 #3
    Right now i have only this example ,checked - there is nothing more to it.
    I will check the source and let you know.
     
  5. Feb 12, 2014 #4

    vela

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    Yes, that would be the normalization condition.

    No. First, as Goddar noted, the integral you wrote down diverges. Second, even if it didn't, your N would cause the integral to be negative, not +1.
     
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