Wie rechne ich... die Energieniveaus in einem Potentialtopf aus?

clear all;
e = 1.602e-19;
h = 6.626e-34;
me = 9.11e-31;
c = 299792458;

Gegeben:

b = 0.2e-9
b = 2.0000e-10
E = @(n) h^2 * n.^2 / (8*me*b^2)
E = function_handle with value:
    @(n)h^2*n.^2/(8*me*b^2)

Energieniveaus

n = (1:5)'
n = 5×1
     1
     2
     3
     4
     5
En = E(n)
En = 5×1
10-16 ×
    0.0151
    0.0602
    0.1355
    0.2410
    0.3765
En_ev = En / e
En_ev = 5×1
    9.4010
   37.6038
   84.6086
  150.4153
  235.0239

Übergang

deltaE = En(4) - En(1)
deltaE = 2.2590e-17
deltaE_ev = deltaE / e
deltaE_ev = 141.0143

Wellenlänge

lambda = h*c / deltaE
lambda = 8.7932e-09