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Homework Help: Normalization factor

  1. Apr 23, 2006 #1
    Hi all! I hope somebody is able to help me on my way with this question.

    I have been asked to show that the Normalization factor for the 1s atomic orbital of H is [tex]1/(\Pi a_o^3)^\frac{1}{2}[/tex]. The wavefunction is [tex]\psi(r) = N exp(-r / a_o)[/tex]

    I'm given [tex]dt = r^2 sin \Theta[/tex] and [tex]dr d\Theta d\Phi[/tex] and [tex]\int_{0}^{\infty}x^n e^a^x dx=n!/a^n+1[/tex]

    I must admit I'm clueless which direction to go. It was mentioned to me, that squaring the wavefunction is the first step, but I cannot arrive at the given constant. Am I starting off on the wrong foot?

    Thanks for any input, in advance.

    geronimo
     
    Last edited: Apr 23, 2006
  2. jcsd
  3. Apr 23, 2006 #2

    nrqed

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    If you make mistakes in a post, you can go back and make changes by clicking on the EDIT button (instead of QUOTE).
     
  4. Apr 23, 2006 #3
    Sorry about this - I don't know how it managed to post twice. It's my first time working with tex and I was having evident difficulties :) Thanks for the pointer!
     
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