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$\begingroup$ Would fine structure be what you're looking for? $\endgroup$– DanDan面Commented May 18, 2023 at 8:18
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2$\begingroup$ In the case of H atom the levels with different $m_l$ are degenerated if you do not take into account intractions as spin-orbit coupling. $\endgroup$– M06-2xCommented May 18, 2023 at 10:06
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