Is the Hydrogen Energy Level Formula Truly Degenerate in j?

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copernicus1
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Griffiths writes that the formula for the hydrogen energy levels taking fine structure into account "breaks the degeneracy in [itex]l[/itex]" but "still preserves degeneracy in [itex]j[/itex]." I'm confused by this, because the formula he gives (Eq. 6.67 in the textbook) depends on [itex]j[/itex]. How can the system be degenerate in [itex]j[/itex] if the energies depend on [itex]j[/itex]?
 
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"The system is degenerate in j" = "different states with the same j have the same energy"
States with different j can have a different energy, even with the same l.