Chapter 6, Problem 33E

(a)

To determine

The transmission probabilities for a particle through a barrier whose width and height are such that $2L\frac{\sqrt{2m{U}_0}}{\hslash }=5$ , when $\frac{E}{U_0}=0.4$ and $\frac{E}{U_0}=0.6$ .

(b)

To determine

The transmission probabilities for a particle through a barrier whose width and height are such that $2L\frac{\sqrt{2m{U}_0}}{\hslash }=50$ , when $\frac{E}{U_0}=0.4$ and $\frac{E}{U_0}=0.6$ .

(c)

To determine

The transmission probabilities for a particle through a barrier whose width and height are such that $2L\frac{\sqrt{2m{U}_0}}{\hslash }=500$ , when $\frac{E}{U_0}=0.4$ and $\frac{E}{U_0}=0.6$ .

(d)

To determine

The claim that the tunneling probability is a far more sensitive function of $E$ when the tunneling probability is small, is correct.