Proff that the H- ion has only one bound state: A review, a new result, and some related unsolved problems
Proff that the H- ion has only one bound state: A review, a new result, and some related unsolved problems
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证明氢离子只有一种束缚态：回顾、新结果以及一些相关的未解决问题
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
R. Hill
中科院分区：
文献类型：
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作者：
R. Hill
由一个质子和两个电子组成的H-离子，早就知道至少有一个束缚态低于最低的分裂阈值。在薛定谔方程发现后不久，变分计算就有足够的精度来证明这一点。1977年首次出现了关于在最低破裂阈值以下不存在额外束缚态的严格证明。1，2本文将回顾这一证明，证明三电子系统H-在自旋3/2扇区连续区以下不存在束缚态的新结果，并讨论相关的未解决问题。
The H- ion, made up of a proton and two electrons, has long been known to have at least one bound state below the lowest breakup threshold. Variational calculations of sufficient accuracy to demonstrate this appeared shortly after the discovery of the Schrodinger equation. A rigorous demonstration that additional bound states do not exist below the lowest breakup threshold first appeared in 1977.1,2 The present paper will review that proof, prove the new result that the three electron system H- has no bound states below the continuum in the spin 3/2 sector, and discuss related unsolved problems.