%0 Journal Article %T Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum %A R. Friedberg %A T. D. Lee %A W. Q. Zhao %J Physics %D 2005 %I arXiv %R 10.1016/j.aop.2005.11.009 %X We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with an $N$-dimensional radial potential $V=\frac{g^2}{2}(r^2-1)^2$ and an angular momentum $l$. For $g$ large, the rate of convergence is similar to a power series in $g^{-1}$. %U http://arxiv.org/abs/quant-ph/0510193v1