中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1720-1728.doi: 10.1088/1674-1056/17/5/031
海文华1, 赵云辉2, 赵乘麟3, 罗小兵4
Zhao Yun-Hui(赵云辉)a)b), Hai Wen-Hua(海文华)a)†, Zhao Cheng-Lin(赵乘麟)b), and Luo Xiao-Bing(罗小兵)c)
摘要: Applying the improved Rayleigh--Schr?dinger perturbation theory based on an integral equation to helium-like ions in ground states and treating electron correlations as perturbations, we obtain the second-order corrections to wavefunctions consisting of a few terms and the third-order corrections to energicity. It is demonstrated that the corrected wavefunctions are bounded and quadratically integrable, and the corresponding perturbation series is convergent. The results clear off the previous distrust for the convergence in the quantum perturbation theory and show a reciprocal development on the quantum perturbation problem of the ground state helium-like systems.
中图分类号: (Electron correlation calculations for atoms and ions: ground state)