Compare this result with Eq. 5.30. Once again we let E0= −h2π2/2mL2 = h2/8mL2
so that E = E0(n2x+ n2y). In Figure 5.16 the energies of the excited states are shown.
You can see how different the energies are from those of the one-dimensional
case shown in Figure 5.10.
.Figure 5.17 shows the probability density ψ2 for several different combinations
of the quantum numbers nx and ny. The probability has maxima and minima, just
like the probability in the one-dimensional problem. For example, if we gave