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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Extraction of information from the periodic system of the elements as an inverse problem
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Extraction of information from the periodic system of the elements as an inverse problem

机译：从元素的周期性系统中提取信息是一个反问题

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摘要

The inverse problem of recovering an effective atomic potential that is universal for all elements of the periodic system is examined using a refined WKB method. The order of filling the shells is shown to be given by a linear combination of the principal and orbital quantum numbers with a coefficient that depends only on the asymptotic behavior of the potential. A relationship between the atomic numbers of the elements which open the shells and a certain functional (the strength) of the potential is found. Narrow ranges for the asymptotic index and strength of the potential are determined by comparison with data from the actual periodic system. The self consistency of this approach is demonstrated by good agreement between the calculated and actual atomic numbers of the elements.
机译：使用改进的WKB方法研究了恢复对周期性系统所有元素通用的有效原子电势的逆问题。填充壳的顺序由主量子轨道数和轨道量子数的线性组合给出，其系数仅取决于电势的渐近行为。发现打开壳的元素的原子序数与电势的某个函数（强度）之间的关系。通过与来自实际周期系统的数据进行比较，可以确定渐近指数和电位强度的狭窄范围。这种方法的自洽性通过元素的计算原子序数与实际原子序数之间的良好一致性来证明。

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