Sketch the first three states of the potential of Figure 2 in the case where the second excited state is just barely bound in the potential.
From your sketch, determine in terms of the mass of the
particle m, Planck's constant , and the well depth , the
minimum well-width a which allows three states to be bound in the well.
Hint: This should require very little computation
Generalize your result; state the minimum well-width a required to bind 2n+1 states in the well.