  Experts know that bound state eigenvalues of a potential-well are some poles
of its transmission amplitude, $t(E)$.The textbooks do well by solving the
bound states and scattering states separately, but there this connection goes
unheeded. Here, we present interesting and instructive illustrations where we
extract bound state eigenvalues from the known transmission coefficients
$(T(E)=|t(E)|^2)$ for five analytically solvable potential wells.
