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

2002/08/30 by R. Harrison, Robert Harrison, I. Moroz +5 · 1 citation
Mathematics · Physics and Astronomy · #81v17 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP #msc:81v17

paper · pdf · doi:10.48550/arxiv.math-ph/0208045

latex, 20 pages, 8 figures

arxiv created 2002/08/30 · openalex publication_date 2002/08/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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