  The eigenvalues $E_{n\ell}^d(a,c)$ of the $d$-dimensional Schr\"odinger
equation with the Cornell potential $V(r)=-a/r+c\,r$, $a,c>0$ are analyzed by
means of the envelope method and the asymptotic iteration method (AIM). Scaling
arguments show that it is sufficient to know $E(1,\lambda)$, and the envelope
method provides analytic bounds for the equivalent complete set of coupling
functions $\lambda(E)$. Meanwhile the easily-implemented AIM procedure yields
highly accurate numerical eigenvalues with little computational effort.
