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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 $|\cos(ka)+\gamma\sin(ka)|\leq1$.


Floquet discriminant of the delta-comb Kronig-Penney model

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 35D / b / Solution

Floquet discriminant of the delta-comb Kronig-Penney model

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Floquet discriminant of the delta-comb Kronig-Penney model

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