Proof that the H− ion has only one bound state. Details and extension to finite nuclear mass
Proof that the H− ion has only one bound state. Details and extension to finite nuclear mass
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DOI：
10.1063/1.523241
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发表时间：
1977-12
影响因子：
1.3
通讯作者：
R. Hill
中科院分区：
文献类型：
--
作者：
R. Hill
严格地证明了仅用库仑相互作用在非相对论近似下处理的氢离子，在电子质量比小于0.21010636时只有一个束缚态。这扩展了先前证明了固定（无限大质量）原子核近似结果的工作。如果需要，所使用的方法也可以用于计算确实存在的两个电子原子系统的束缚态能量的严格下界。
It is rigorously demonstrated that the H− ion, treated in nonrelativistic approximation with Coulomb interactions only, has only one bound state for the electron to nucleus mass ratio less than 0.21010636. This extends earlier work which had proven the result in the fixed (infinite mass) nucleus approximation. The method used can, if desired, also be used to calculate rigorous lower bounds to the energies of those bound states of two electron atomic systems which do exist.