Potential Well

The setup is the same as in the previous problem, except the potential $V(x)$ now has the shape shown in the figure 4 ($V=+\infty$ for $x<0$.) Again, the wavefunction at $x>a$ is given by

$$\Psi_>(x) = e^{-ik(x-a)} + \underline{r} e^{ik(x-a)}.$$

We will obtain the coefficient $\underline{r}$ using two different methods.

HINT: This problem is very similar to problem 2 on problem set # 8!

Figure 4: Potential well.