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

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dc.creatorHarrison, R.
dc.creatorMoroz, I.
dc.creatorTod, K. P.
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:29:23Z
dc.date.available2026-07-07T04:29:23Z
dc.descriptionWe 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.
dc.descriptionlatex, 20 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0208045
dc.identifierhttp://arxiv.org/abs/math-ph/0208045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57135
dc.subjectMathematical Physics
dc.subject81v17
dc.titleA numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states
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