Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential ∗
Richard M. Friedberg, T. D. Lee, W. Q. Zhao
Abstract
We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential V = g2 2 (x2 − 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.