(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

(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

Equations 5.70

Transcribed Image Text:

(x) = C sin(kx) + eigu s ¹ sink (a − x)]}, - (0 ≤ x ≤ a).