Infinite square well Flashcards
1
Q
solution to ISW
A
A sin(k_n x) , k_n = n pi/a A sin ( (n pi)/a) )
2
Q
Enegies for ISW
A
En = n^2 E1
E1 = n^2 pi^2 h / 2ma = k^2 h / 2m
3
Q
Allowed n range
A
n = 1, 2, 3, …
4
Q
WHy - n not allowed
A
Rep of WF (sin is odd)
5
Q
why n= 0 not allowed
A
WF = 0 not normalisable
6
Q
Are ISW Energy levels evenly spaced
A
N0, they go liek n^2 since En = n^2 E1
7
Q
What shape WF solns of ISW
A
Alt even and odd (start w/ even)
This occurs for any symmetric potential
8
Q
What is special about gs energy of ISW
A
Egs != 0, since n!= 0
Energy of gs in ISW is simply E1 = pi^2 h/2ma
9
Q
WHat does TDSE soln to ISW look like
A
Standing waves
10
Q
Why do we only solve SSE inside the ISW and not outside
A
Potenital is infinite outside the well thus the WF has prob = 0 of being there
