论文标题
两电子原子的Fock膨胀。高阶角系数
Fock expansion for two-electron atoms. High order angular coefficients
论文作者
论文摘要
研究了Fock膨胀,描述了核附近的两电子原子的性质。 Angular Fock系数$ψ_{k,p}(α,θ)$具有下标$ p $的最大可能值,以$ 5 \ leq k \ leq 10 $的示例计算。提出的技术使得为任何任意大的$ k $计算这种角系数是可能的。在代表Fock膨胀的对数功率序列中,提到的系数可能对于开发用于计算氦气样电子结构的简单方法是必不可少的。获得的理论结果通过其他合适的方法验证。 Wolfram Mathematica广泛使用。
The Fock expansion, which describes the properties of two-electron atoms near the nucleus, is studied. The angular Fock coefficients $ψ_{k,p}(α,θ)$ with the maximum possible value of subscript $p$ are calculated on examples of the coefficients with $5\leq k \leq 10$. The presented technique makes it possible to calculate such angular coefficients for any arbitrarily large $k$. The mentioned coefficients being leading in the logarithmic power series representing the Fock expansion may be indispensable for the development of simple methods for calculating the helium-like electronic structure. The theoretical results obtained are verified by other suitable methods. The Wolfram Mathematica is used extensively.