plotting the eigenstate energies as a function of occurrance
The piece-wise constant barrier tool has the capability to plot the energy of resonance states as a function of their occurrance. That enables a simple understanding of the formation of bands and bandstructure.
This tool could benefit from the ability to have a similar plot, but within a single band. This plot would then expose the effects of confinement and the underlying bandstructure – square wells have (almost) parabolic separatios of states – parabolic wells have constant separations of states – linear curve – triangular wells have …. ????
Deviations from the ideal behavior could then be easily be interpreted as non-parabolic bandstructure effects du to the finite lattice size. Changing the effective mass or the lattice spacing in the code would expose that further.