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Trying to find references for polarization effect of Normal Zeeman Effect

  1. Aug 4, 2012 #1

    I am trying to find a resource that can explain how σ and ∏ lines obtain their polarizations.
    I have not found resource that actually show the calculation or solid explanation that show this.The references are usually state that σ and ∏ have circular polarization and linear polarization respectively. But they did not explain why, assume that it is a given fact.

    Some resources in the internet seems to explain this by conservation of angular momentum J. Since in Normal Zeeman Effect S=0 for both states involved in the transition, L is conserved. So, the resources reasoned that for Δml=1,-1 , a photon with spin 1 or -1 will be produced. They correspond to left and right circularly polarized light. For Δml=o, they state that there will be equal amount of photon with spin 1 and -1. This corresponds to a linearly polarized light. It seems a lot of hand waving argument.

    I have checked some textbooks like Fowles' Modern Optics. It has 2 pages explanation with pictures. It interpret the transition as an oscillating dipole. The example discussed 1s and 2p transitions of Hydrogen atoms. The book do not give any calculation. I also prefer to have an explanation how to apply the explanation for different orbitals, not only 1s and 2p transitions.
  2. jcsd
  3. Aug 4, 2012 #2
    Hi, I had a similar problem finding references for this previously. I don't think I ever found an explanation for it other than the hand wavey stuff. I'll have a look back at my report and let you know if I find anything.
  4. Aug 4, 2012 #3
    Actually the QM textbook by cohen tannoudji has some mathematical explanation.
    But it's a bit beyond me.
  5. Aug 4, 2012 #4
    Last edited by a moderator: May 6, 2017
  6. Aug 4, 2012 #5
    Thx a lot.
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