Total: 24 pts] In our derivation of the first-order energy corrections for the spin-orbit coupling we...
2. (Total: 50 pts) a) (20 pts Show that for the hydrogen atom the sum of the relativistic first-order cor- rection where EC are the unperturbed energy levels in the hydrogen atom, and the first-order correction due to spin-orbit coupling so (+1)-1(1+1) - 8(8 + 1)] 1(1+3)(1+1) me2 gives the fine-structure formula (Hint: Think first about the possible relationships between j and l. How many do you have in case of the hydrogen atom? Then show that the fine-structure formula...