1
$\begingroup$

Note: We are dealing with perturbation on the states $|nlm_lm_s>$ where n is the principle quantum number, l is the angular momentum quantum number, and $m_l$ and $m_s$ are the eigenvalues of $L_z$ and $S_z$ corresponding to this particular eigenstate. j is the Total angular momentum quantum number: $j = l \pm 1/2 $.

In page 275 of Griffiths, he finishes the derivation of the energy perturbation due to the fine structure correction. He then says that the fine structure breaks degeneracy in l but not in j. Why is this? It seems to me that the degeneracy in j is broken, and that there is still degeneracy in l.

Griffiths Text

$\endgroup$
2
$\begingroup$

In my 1995 edition the text (on page 242) reads:

1995 edition

So presumably this is an error in whatever edition you have.

| cite | improve this answer | |
$\endgroup$
  • $\begingroup$ Thanks. I would upvote, but I have not the reputation to do so. $\endgroup$ – Zane Dufour Oct 3 '14 at 1:32
  • $\begingroup$ @ZaneDufour: if this answers your question please click on the tick symbol to accept the answer. $\endgroup$ – John Rennie Oct 3 '14 at 4:55

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.