- #1
Chelsea S
- 12
- 0
Alright, I'm back with yet another question...
So the prof was explaining that the energy in an infinite cubical well is E((h2∏2)/2ma2))(nx2+ny2+nz2)
Which is all well and good, and he gave us the example of:
ψ1,2,1 = E = 6((h2∏2)/2ma2))
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 E1, and has 3-fold degeneracy.
Simply enough, E2 is ψ1,2,2 with 3 -fold degeneracy also..
But after looking online, I find that E3 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 E4.
Is there a pattern? Or a formula? Any help is appreciated.
So the prof was explaining that the energy in an infinite cubical well is E((h2∏2)/2ma2))(nx2+ny2+nz2)
Which is all well and good, and he gave us the example of:
ψ1,2,1 = E = 6((h2∏2)/2ma2))
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 E1, and has 3-fold degeneracy.
Simply enough, E2 is ψ1,2,2 with 3 -fold degeneracy also..
But after looking online, I find that E3 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 E4.
Is there a pattern? Or a formula? Any help is appreciated.