2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57070In the present paper we give the general solution of the functional equation $$ (f(x)+g(y)+h(z))^2 = F(x)+G(y)+H(z), x+y+z=0 $$ which is related to the exact factorized ground-state wave function for the quantum one-dimensional problem of three different particles with pairwise interaction.LaTeXMathematical Physicstext