1. a. Consider the one-dimensional finite square well (see eg Griffiths 2.6), with potential
$V(x) = \begin{cases} V_0, & |x| > a \\ 0, & |x| < a \end{cases}$
Find the conditions under which the well contains two bound states.
b. At the lowest potential that permits two bound states, consider the lowest energy state and
find the probability by which the particle can be found in the region with $V_0$ potential.