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(a)Show that the Bloch theorem may also be written as ψk(r+R) = exp(ik⋅R) ψk(r). (b) Show...

(a)Show that the Bloch theorem may also be written as ψk(r+R) = exp(ik⋅R) ψk(r).

(b) Show that the tight binding wave function ψk(r) = ΣR exp(ik⋅R) ϕ(r–R) satisfies the Bloch theorem.

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