Floquet matrix for a one-dimensional periodic potential
= Floquet matrix for a one-dimensional periodic potential
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= Floquet matrix
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{synonym}
For a potential of period $a$, the Floquet matrix $M(E)$ maps Cauchy data through one cell:
$$
\begin{pmatrix}\psi(x+a)\\\psi'(x+a)\end{pmatrix}
=M(E)\begin{pmatrix}\psi(x)\\\psi'(x)\end{pmatrix}.
$$
For a real Schrodinger equation, $\det M=1$.