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arXiv math-ph/0208045math-phmath.MP
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Schrodinger-Newton方程的数值研究1:球对称stationary states的扰动

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

R. Harrison, I. Moroz, K. P. Tod

摘要:

研究了Schrodinger-Newton方程球对称定常解的线性稳定性。我们发现基态是线性稳定的,只有虚数的本征值,而第n个激发态有n个四重复本征值以及纯虚数的,所以是线性不稳定的。

英文摘要:

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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