What are the possible quantum states of an electron relaxing from n=4 to n=3?

AI Thread Summary
When an electron transitions from n=4 to n=3, the possible quantum states must adhere to the rules of quantum mechanics, specifically the changes in the principal quantum number (n) and the angular momentum quantum number (l). The allowed changes in l are limited to a difference of one, meaning the electron can transition from l=3 to l=2 or l=1. The possible final states for n=3 include l=2, l=1, and l=0, leading to the combinations of (3,2), (3,1), and (3,0). Each initial state at n=4 should be considered to enumerate all potential transitions. The discussion emphasizes the importance of accurately identifying both initial and final quantum states during electron transitions.
jisbon
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Homework Statement
State possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l
Relevant Equations
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Hi all,

I'm right now confused about this.
As far as I know, when changing from a level to another, the change in l (subshell) can only be a difference of 1, and ##m_{l}## can be the same or a difference of 1.
In this case, since the question wants me to state possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l,
is the answer simply just 3,2 / 3,1 / 3,0 ?

Cheers
 
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You're probably expected to enumerate the possible initial states with ##n=4## and indicate the possible final states for each of the initial states.
 
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