标题： 氢类似里德伯原子斯塔克效应理论中不规则解的展开 显示英文标题

标题： Expansion of the irregular solution in the theory of Stark effect in hydrogenic-like Rydberg atoms

摘要： 我们推导了在负能级下不规则物理解对球面解的展开，这是获得该过程的$S$矩阵所必需的。 此展开与 Giannakees 等人于 Phys. Rev. A 94, 013419 (2016) 中发展的理论之间的关系进行了分析。 特别是，我们证明了 Giannakees 等人理论中缺失的不规则解的展开可以从他们的一个主要假设中推导出来。 因此得到的展开在高角动量下与我们的展开数值等价。 推导了两种展开的关键矩阵的解析表达式。 显示英文摘要

摘要： We derive the expansion of the irregular physical solution over the spherical solutions at negative energies, which is necessary for obtaining the $S$ matrix of the process. The relation of this expansion to the theory developed by Giannakees et al., Phys. Rev. A 94, 013419 (2016), is analyzed. In particular, we show that the expansion of the irregular solution missing in Giannakees et al.'s theory can be derived from one of their main postulates. The expansion thus obtained turns out to be numerically equivalent to our expansion up to high angular momenta. Analytical expressions for the key matrix of both expansions are derived.