I have read that Lyman series of Hydrogen atom occur on the n = 2 level, and it is due to electron orbital coupling.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose I understand what is an electron-orbital coupling, and that one gets 3/2 and 1/2 total angular momentum for n = 2 level.

But, from quantum mechanical derivation of the orbitals of Hydrogen atom, the energy level depends only on n quantum number, and that p orbitals caused by possible set of m numbers are degenerate.

How total angular momentum causes energy splitting, if electron-orbital coupling is due to spin and angular momenta which are degenerate?

Thank you.

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# Lyman Hydrogen splitting

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