%0 Journal Article %T A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states %A R. Harrison %A I. Moroz %A K. P. Tod %J Mathematics %D 2002 %I arXiv %X We 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. %U http://arxiv.org/abs/math-ph/0208045v1