%0 Journal Article
%T Schr£żdinger spectrum generated by the Cornell potential
%A Richard L. Hall
%A Nasser Saad
%J Physics
%D 2014
%I arXiv
%R 10.1515/phys-2015-0012
%X 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.
%U http://arxiv.org/abs/1411.2023v1