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QM: Spin-orbit and wavefunctions for H

  1. May 19, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi all.

    I wish to evaluate the following dipole moment

    [tex]
    <1| x |2>,
    [/tex]

    where |1> and |2> are stationary states of the hydrogen atom when one accounts for spin-orbit coupling. I am a little unsure of if I am allowed to use the "normal" unperturbed wavefunctions for hydrogen in this case, or if the wavefunctions change because of spin-orbit?
     
  2. jcsd
  3. May 19, 2009 #2

    Matterwave

    User Avatar
    Science Advisor
    Gold Member

    I don't think so, the spin-orbit coupling will shift your energies, which means that the eigenstates have changed.

    So |1> and |2> are not the same as the regular ones...I think you're going to have to calculate the perturbed wave functions.
     
  4. May 20, 2009 #3
    This is what I feared.. it seems like a pretty long task.
     
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