Consider a particle of mass m in the potential
V(x)=⎩⎨⎧∞−32ℏ2/ma20x<0,0≤x≤a,x>a.
(a) How many bound states are there?
(b) In the highest-energy bound state, what is the probability that the particle would be found outside the well (x>a)? Answer: 0.542, so even though it is "bound" by the well, it is more likely to be found outside than inside!