Convergent iterative solutions of Schroedinger equation for a generalized double well potential

Abstract

We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential V = g 2 2 ( x 2 - 1 ) 2 ( x 2 + a ) . The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameter a are discussed.