Abstract:The eigenvalues E d n (a, c) of the d-dimensional Schrödinger equation with the Cornell potential V(r) = −a/r + c r, a, c > are analyzed by means of the envelope method and the asymptotic iteration method (AIM). Scaling arguments show that it is su cient to know E( , λ), and the envelope method provides analytic bounds for the equivalent complete set of coupling functions λ(E). Meanwhile the easily-implemented AIM procedure yields highly accurate numerical eigenvalues with little computational e ort.