  We discuss two simple variational approaches to quantum wells. The trial
harmonic functions analyzed in an earlier paper give reasonable results for all
well depths and are particularly suitable for deep wells. On the other hand,
the exponential functions proposed here are preferable for shallow wells. We
compare the shallow-well expansions for both kind of functions and show that
they do not exhibit the cubic term appearing in the exact series. It is also
shown that the deep-well expansion for the harmonic functions agree with the
first terms of perturbation theory.
