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Fine structure correction in H atom

  1. Nov 25, 2011 #1
    Hi,

    I refer to the second edition (international edition) of Griffiths. He proves that the total fine structure correction (spin orbital plus relativistic) is given by

    [itex]E_{fs}^{1}\propto (3-\frac{4n}{j+1/2})[/itex]

    After that, he writes this. "Fine structure breaks the degeneracy in l (that is, for a given n, the different allowed values of l do not all carry the same energy) but preserves the degeneracy in j"

    Isn't he mixing up l and j? From the relation, it appears that fine structure correction depends on j and not on l. So for a given n, different j values end up with different corrections while the degenracy in l is preserved. Or have I made a mistake in understanding what he is saying? Thank you.
     
  2. jcsd
  3. Nov 26, 2011 #2
    So anybody knows if this is a typo in the text or if I've got it wrong? Thank you
     
  4. Nov 26, 2011 #3
    interestingly enough (or not!) in the 1995 edition page 242 the text reads:

    ".... Fine structure breaks the degeneracy in l (that is, for a given n, the different allowed values of l do not all carry the same energy); the energies are determined by n and j (see Figure 6.9)...."

    which maybe makes a bit more sense!
     
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