Iterative Solution for Generalized Sombrero-shaped Potential in $N$-dimensional Space

Abstract

An explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with generalized $N$-dimensional Sombrero-shaped potential is presented. The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameters are discussed.

10 pages, 3 figures