ON THE HARTREE--FOCK EQUATIONS FOR THE EXCITED SINGLET S STATES OF HELIUM- LIKE IONS.
ON THE HARTREE--FOCK EQUATIONS FOR THE EXCITED SINGLET S STATES OF HELIUM- LIKE IONS.
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DOI：
10.1088/0370-1328/92/3/305
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发表时间：
1967
期刊：
影响因子：
--
通讯作者：
C. S. Sharma
中科院分区：
文献类型：
--
作者：
C. S. Sharma
本文用1/Z的微扰展开的一阶方程，研究了类氦离子激发的单重态S态，特别是类氦离子的1s2s1s态的Hartree-Fock积分-微分方程组，并用S轨道完整的类氢本征函数作为解这些方程的基础。由于Froese的一个定理的陈述被证明是错误的，并被更正。深入研究了各种零级态在一阶函数中的作用，以及各种约束条件对零级态的影响。结果表明，对于NSMS1S态，零阶NS21S态和MS21S态在决定约束对一阶Hartree-Fock函数的影响中起着非常重要的作用。
Hartree-Fock integro-differential equations for the excited singlet S states and in particular for the 1s2s 1S state of helium-like ions are studied by the examination of the first-order equations in a perturbation expansion in powers of 1/Z; the complete set of hydrogenic eigenfunctions for s orbitals is used as the basis for the solution of these equations. The statement of a theorem due to Froese is shown to be in error and is corrected. Considerable insight into the roles of various zero-order states in the first-order function and the effect of various constraints on these is gained. It is shown that, for the nsms 1S state, the zero-order ns2 1S and ms2 1S states play a very important part in determining the effect of the constraints on the first-order Hartree-Fock functions.