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 $V=\frac{g^2}{2}(x^2-1{)}^2(x^2+a)$. 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.

23 pages, 7 figures

References in corpus (1)

• Invariance under complex transformations, and its relevance to the cosmological constant problem