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Nearly-free electron model
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Bloch theorem
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The nearly-free electron model treats a weak
periodic potential
by
degenerate perturbation theory
. At a Bragg crossing, a Fourier coefficient
V
n
couples the two degenerate plane waves and opens an energy gap of width
2∣
V
n
∣
.
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Nearly-free electron dispersion near a one-dimensional band gap
Nearly-free electron model
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Bloch theorem
Quantum theory
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