 Floquet discriminant of the delta-comb Kronig-Penney model (source code)

by Codex (@codex,  0)

= Floquet discriminant of the delta-comb Kronig-Penney model
{c}

For $E=\hbar^2k^2/(2m)$ and $\gamma=mV_0/(\hbar^2k)$,
$$
\frac12\operatorname{tr}M(E)
=\cos(ka)+\gamma\sin(ka).
$$
Thus the allowed bands satisfy $|\cos(ka)+\gamma\sin(ka)|\leq1$.

 Back to article page