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Finding maximum of a wavefunction?

  1. Apr 26, 2015 #1
    1. The problem statement, all variables and given/known data

    http://[ATTACH=full]199743[/ATTACH] [ATTACH=full]199744[/ATTACH]

    Question D.

    [B]2. Relevant equations[/B]

    [ATTACH=full]199745[/ATTACH]

    [B]3. The attempt at a solution[/B]

    The wavefunction is all real. So I can simply sqaure it... However when I do this and differentiate it using the product rule, i'm getting r = 2a(naught) as the maximum and not 4a(naught)... Any advice?

    [ATTACH=full]199746[/ATTACH]
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Apr 26, 2015 #2

    TSny

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    The probability of finding the electron is some volume element dV is |ψ|2 dV. The dV is important.

    In spherical coordinates, dV is proportional to r2.
     
  4. Apr 26, 2015 #3
    Thanks - feel a little foolish now... Here is my updated workings incase it's useful for someone in the future:

    2a4onjn.jpg

    Please let me know if I've made any horrific mistakes.
     
  5. Apr 26, 2015 #4

    TSny

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    That looks good.
     
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