Question: (a) Using Equations 5.66 and 5.70, show that the wave function for a particle in the periodic delta function potential can be written in the

(a) Using Equations 5.66 and 5.70, show that the wave function for a particle in the periodic delta function potential can be written in the form

(x) = C sin(kx) + eigu s sink (a x)]}, - (0(Don’t bother to determine the normalization constant C.)

(b) At the top of a band, where z = jπ, (a) yields Ψ(x) = 0/0 (indeterminate). Find the correct wave function for this case.

Equations 5.66

x a).

Equations 5.70

(x) = C sin(kx) + eigu s sink (a x)]}, - (0 x a).

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