Solved: Pseudo-wavevectors within first brillouin, Physics

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Pseudo-wavevectors within first brillouin

Consider a one-dimensional chain consisting of 3 identical potential wells (atoms) with non-degenerate levels and corresponding wave functions ?PSI(x) . Inter-atomic distance is a.
Using periodic boundary conditions find Bloch functions of this "crystal" and allowed
Pseudo-wavevectors within first Brillouin zone .

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