2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210408We prove the existence of quasi-stationary symmetric solutions with exactly n>=0 zeros and uniqueness for n=0 for the Schrödinger-Newton model in one dimension and in two dimensions along with an angular momentum m>=0. Our result is based on an analysis of the corresponding system of second-order differential equations.Mathematical Physics35Q55; 35Q40; 47J10text