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Floquet matrix for a one-dimensional periodic potential

For a potential of period

a

, the Floquet matrix

M (E)

maps Cauchy data through one cell:

(ψ (x + a) ψ^{'} (x + a)) = M (E) (ψ (x) ψ^{'} (x)) .

For a real Schrodinger equation,

det M = 1

.

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- Floquet discriminant and energy bands Floquet matrix for a one-dimensional periodic potential 35

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