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Integral to show selection rules

  1. Mar 19, 2016 #1

    georg gill

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    Gold Member

    1. The problem statement, all variables and given/known data

    sel rule int.png

    I am trying to calculate the selection rules from 2p to 1s. Above are the three results in (1152)-.(1154). And In the image one also finds the spherical harmonics factors. I can not determine which R and angular parts that give the three 2p waves. Can you show which ones that will create one of the 2p waves and integrate the radial (radius part) part of that integral?

    2. Relevant equations
    The image is taken from this site:
    http://farside.ph.utexas.edu/teaching/qmech/Quantum/node122.html
    3. The attempt at a solution
     
  2. jcsd
  3. Mar 21, 2016 #2

    DrClaude

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    Staff: Mentor

    What are the relevant quantum numbers?
     
  4. Mar 22, 2016 #3

    georg gill

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    Gold Member

    spher coord sel rules 2p to 1s for y.png
    View attachment 97773

    I get the right answer for the y comp except that I cn not get rid of the $$\pm$$. the answer for the y-comp is given in (1153).
     
    Last edited: Mar 22, 2016
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