用B多项式计算类氢离子的双光子衰变率
Calculation of the two-photon decay rates of hydrogen-like ions by using B-polynomials
摘要：
提出了一种研究双光子原子跃迁的新方法。它是基于应用有限的基础解决方案构造的伯恩斯坦多项式（B-多项式）集。我们表明，这样的方法提供了一个非常有前途的路线相对论第二（甚至更高阶）的计算，因为它允许所涉及的矩阵元素的分析评估。为了说明该方法的可能应用并验证其准确性，对中性氢和类氢离子的2 s_{1/2} -1 s_{1/2}跃迁进行了详细的计算，并与基于成熟的B样条基集方法的理论预测进行了比较。
英文摘要：
A new approach is laid out to investigate the two photon atomic transitions. It is based on application of the finite basis solutions constructed from the Bernstein Polynomial (B-Polynomial) sets. We show that such an approach provides a very promising route for the relativistic second- (and even higher-order) calculations since it allows for analytical evaluation of the involved matrices elements. In order to illustrate possible applications of the method and to verify its accuracy, detailed calculations are performed for the 2s_{1/2}-1s_{1/2} transition in neutral hydrogen and hydrogen-like ions, and are compared with the theoretical predictions based on the well-established B-spline-basis-set approach.
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