Are \(\Delta n = 0\) Transitions Allowed in Hydrogen Atom Selection Rules?

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SUMMARY

The discussion confirms that transitions with \(\Delta n = 0\) are indeed allowed in hydrogen atom selection rules, particularly when considering the spin-orbit effect. The specific example discussed involves transitions between the 2S1/2 and 2P3/2 states. The spin-orbit coupling causes further splitting of energy levels within the same principal quantum number, allowing for these transitions to occur despite the \(\Delta n\) condition.

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temp050505
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Good afternoon,

Does the selection rules have a condition on \Delta n ? I have not found a website or a book that show transitions between 2S_{1/2} and 2P_{3/2}, that's why I was wondering if \Delta n = 0, with respect to the other selection rules, are allowed transitions.

Thank you for your answers.
 
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##\Delta n = 0## is not a restriction for a transition to occur, in fact when one takes spin-orbit effect into account the levels of constant ##n## split further and transitions among them can happen.
 
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Thanks !
 

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