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

Suppose we use delta function wells, instead of spikes (i.e. switch the sign of α in Equation 5.64). Analyze this case, constructing the analog to Figure 5.5. 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 (let

 and z Ξ -ka, for E < 0); your graph will now extend to negative z). How many states are there in the first allowed band?

Equation 5.64

Figure 5.5.

Transcribed Image Text:

K = √√√-2mE/h