论文标题
相对论的丽思方法对氢原子I：理论考虑
Relativistic Ritz approach to hydrogen-like atoms I: theoretical considerations
论文作者
论文摘要
自从量子力学出现以来，Rydberg公式与Ritz量子缺陷ANSATZ一起是原子理中使用的标准理论工具，但是这种方法仍然受其非权利主义基础的限制。在这里，我提出了一种长距离相对论的有效理论，描述了具有任意质量比的氢样系统，从而扩展了类似ritz的方法。将相对论理论拟合到结合状态QED预测的氢能水平上，这表明它优于规范的非宗教方法。一项分析分析揭示了将高阶校正与较低阶段的较高校正相关联的边界QED级别预测中的非线性一致性关系，为将来的扰动计算提供了指南，以及对伯特（Bethe）差异的渐近行为的见解。该方法的应用包括与原子光谱数据拟合，从而确定了从大光谱数据集中确定的精细结构常数，并可以独立于BOND-State QED检查数据的内部一致性。
The Rydberg formula along with the Ritz quantum defect ansatz has been a standard theoretical tool used in atomic physics since before the advent of quantum mechanics, yet this approach has remained limited by its non-relativistic foundation. Here I present a long-distance relativistic effective theory describing hydrogen-like systems with arbitrary mass ratios, thereby extending the canonical Ritz-like approach. Fitting the relativistic theory to the hydrogen energy levels predicted by bound-state QED indicates that it is superior to the canonical, nonrelativistic approach. An analytic analysis reveals nonlinear consistency relations within the bound-state QED level predictions that relate higher-order corrections to those at lower order, providing guideposts for future perturbative calculations as well as insights into the asymptotic behavior of Bethe logarithms. Applications of the approach include fitting to atomic spectroscopic data, allowing for the determination the fine-structure constant from large spectral data sets and also to check for internal consistency of the data independently from bound-state QED.
