 Floquet discriminant of the delta-comb Kronig-Penney model

ID: floquet-discriminant-of-the-delta-comb-kronig-penney-model

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

E = ℏ^{2} k^{2} / (2 m)

and

γ = m V_{0} / (ℏ^{2} k)

\frac{1}{2} tr M (E) = cos (ka) + γ sin (ka) .

Thus the allowed bands satisfy

∣ cos (ka) + γ sin (ka) ∣ \leq 1

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