Boundedness and convergence of perturbed corrections for helium-like ions in ground states  

作　　者：赵云辉 海文华 赵乘麟 罗小兵 

机构地区：[1]Department of Physics, Hunan Normal University [2]Department of Physics, Shaoyang University [3]Institute of Physics, Chinese Academy of Sciences

出　　处：《Chinese Physics B》2008年第5期1720-1728,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No 10575034);the Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics of China (Grant No T152504)

摘　　要：Applying the improved Rayleigh SchrSdinger 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.Applying the improved Rayleigh SchrSdinger 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.

关 键 词：helium-like ion perturbation correction BOUNDEDNESS CONVERGENCE 

分 类 号：O562[理学—原子与分子物理]