A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states

Details A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states

2002-08-30

arxiv.org/abs/math-ph/0208045v1

Physics

Mathematical Physics

latex, 20 pages, 8 figures

Scientific paper

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.

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