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Normalising wavefunctions

  1. Feb 21, 2015 #1
    1. The problem statement, all variables and given/known data
    2. Relevant equations

    Uploaded as a picture as it's pretty hard to type out

    3. The attempt at a solution
    So to normalise a wavefunction it has to equal 1 when squared.
    A is the normalisation factor so we have:
    A.x2e-x/2a0.x2e-x/2a0 = 1
    ∫ψ*ψdx = A2∫x4e-axdx = 1

    Then I've been given the integral of this between 0 and ∞: ∫xne-axdx = n!/an+1
    ∫ψ*ψdx = A2.4!/a5
    = A2.24/a5
    A = √a5/24

    Have I done this right? I don't even know where to start with (ii). Any help would be greatly appreciated!!
     

    Attached Files:

  2. jcsd
  3. Feb 21, 2015 #2

    mfb

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    Staff: Mentor

    "." is an unusual multiplication sign, "*" is better (or use LaTeX for the best result).
    (i) looks right.

    (ii) is like (i), just with a more complicated function and in three dimensions, but the approach is exactly the same.
     
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