Gerhard Klimeck @ on
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.
Gerhard Klimeck @ on
– dispersion of the bound states – i.e. plot the resonance energy versus “index”, where “index” is just the number of the eigenstate. The result will show the internal energy arrangement of the system. Meaning:2) a parabolic well has a linear spacing of the eigenstates. Also here we should compare to the analytical solution. 3) a triangular well should have a definite spacing – I don’t remember – the solutions are analytic too, with Airy functions.
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