NEW POTENTIAL SCALAR MODELS VIA THE KINK OF THE λΦ4 THEORY

Abstract

From a scalar field theory in 1+1 dimensions, new nonlinear potential models have been found leading to an enlargement of potential classes that can be solved exactly in the context of quantum and classical theories. The method consists in considering a SUSY N=2 general solution for an unnormalizable state of the supersymmetric partner associated with the zero mode, which provides us with a new class of isospectral potentials that can be expressed in terms of the kink. The model considered here is a double-well potential, the kink of the λΦ4 theory. This self-interaction is part of the interaction that appears in the new potentials.