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Mathematics  2002 

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

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Abstract:

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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