SUSY QM from Three Domain Walls in a Scalar Potential

R. de Lima Rodrigues, A. F. de Lima, E. R. Bezerra de Mello, V. B. Bezera

Published 2006-12-09Version 1

We investigate the linear classical stability of Bogomol'nyi-Prasad-Sommerfield (BPS) on three domain wall solutions in a system of three coupled real scalar fields, for a general positive potential with a square form. From a field theoretic superpotential evaluated on the domain states, the connection between the supersymmetric quantum mechanics involving three-component eigenfunctions and the stability equation associated with three classical configurations is elaborated.