论文标题

在超级配置方法中计算分区函数的优化递归关系

Optimized recursion relation for the computation of partition functions in the superconfiguration approach

论文作者

Pain, Jean-Christophe, Gilleron, Franck, Wilson, Brian G.

论文摘要

非交互结合电子的规范集合的分区函数是辐射不透明度计算的超级转移阵列方法的关键要素。几年前,我们发表了一个强大而稳定的递归关系,用于计算此类分区功能。在本文中,我们提出了后一种方法的优化,并解释了如何在实践中实施它。形式主义依赖于对基本对称多项式的评估,这为进一步的改进开辟了道路。

Partition functions of a canonical ensemble of non-interacting bound electrons are a key ingredient of the super-transition-array approach to the computation of radiative opacity. A few years ago, we published a robust and stable recursion relation for the calculation of such partition functions. In this paper, we propose an optimization of the latter method and explain how to implement it in practice. The formalism relies on the evaluation of elementary symmetric polynomials, which opens the way to further improvements.

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