Alright, I'm back with yet another question...(adsbygoogle = window.adsbygoogle || []).push({});

So the prof was explaining that the energy in an infinite cubical well is E((h^{2}∏^{2})/2ma^{2}))(nx^{2}+ny^{2}+nz^{2})

Which is all well and good, and he gave us the example of:

ψ1,2,1 = E = 6((h^{2}∏^{2})/2ma^{2}))

And with little explanation mixed it up once switching one of the 1's with the 2. After some searching through my book I found out that this is the first energy level or E_{1}, and has 3-fold degeneracy.

Simply enough, E_{2}is ψ1,2,2 with 3 -fold degeneracy also..

But after looking online, I find that E_{3}is not ψ2,2,2.

How do you derive/find out what to use for the quantum numbers? As I found out, ψ2,2,2 is E_{4}.

Is there a pattern? Or a formula? Any help is appreciated.

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# Degeneracy for different energy states in Infinite cubic well

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