(a) Using Equations 5.59 and 5.63, show that the wave function for a particle in the perio...

(a) Using Equations 5.59 and 5.63, 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) There is an exception: At the top of a band, where z is an integer multiple of π (Figure 5.6), (a) yields ψ (x) = 0. Find the correct wave function for this case. Note what happens to ψ at each delta function.