Suppose we use delta function wells, instead of spikes (i.e., switch the sign of α in Eq...

Suppose we use delta function wells, instead of spikes (i.e., switch the sign of α in Equation 5.57). Analyze this case, constructing the analog to Figure 5.6. This requires no new calculation, for the positive energy solutions (except that β is now negative; use β = —1.5 for the graph), but you do need to work out the negative energy solutions. How many states are there in the first allowed band?