Explicit closed-form formulas map arbitrary fundamental solutions of the Hill equation to Floquet-Bloch states via the monodromy matrix, including Jordan band-edge cases.
Taken together, these results complement the classi- cal spectral theory by rendering the basis transformation underlying Floquet–Bloch states fully explicit and oper- ational
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Explicit Construction of Floquet-Bloch States from Arbitrary Solution Bases of the Hill Equation
Explicit closed-form formulas map arbitrary fundamental solutions of the Hill equation to Floquet-Bloch states via the monodromy matrix, including Jordan band-edge cases.