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QM: Spin-orbit and wavefunctions for H

  • Thread starter Niles
  • Start date
  • #1
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Homework Statement


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?
 

Answers and Replies

  • #2
Matterwave
Science Advisor
Gold Member
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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.
 
  • #3
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This is what I feared.. it seems like a pretty long task.
 

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