2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57135We consider the linear stability of the spherically-symmetric stationary solutions of the Schrodinger-Newton equations. We find that the ground state is linearly stable, with only imaginary eigenvalues, while the n-th excited state has n quadruples of complex eigenvalues as well as purely imaginary ones and so is linearly unstable.latex, 20 pages, 8 figuresMathematical Physics81v17text