Bethe-logarithm calculation using the B-spline method

被引：15
|
作者：
Tang, Yongbo [1 ,2 ]
Zhong, Zhenxiang [2 ]
Li, Chengbin [2 ]
Qiao, Haoxue [1 ]
Shi, Tingyun [2 ]
机构：
[1] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China
[2] Chinese Acad Sci, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
来源：
PHYSICAL REVIEW A | 2013年 / 87卷 / 02期
基金：
中国国家自然科学基金;
关键词：
HYDROGEN;
D O I：
10.1103/PhysRevA.87.022510
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A method based on the B-spline basis set is developed that significantly simplifies the Bethe-logarithm calculations for the atomic hydrogen. Without any auxiliary optimization and extrapolation, this method not only can calculate the Bethe logarithms of low-lying states to high precision using relatively small basis sets, but can also calculate high-lying Rydberg states efficiently. For the ground state, the Bethe logarithm is calculated to 24 significant figures using 450 B-spline functions. For high-lying Rydberg states, we can reproduce all the results of Jentschura and Mohr [Phys. Rev. A 72, 012110 (2005)]. DOI: 10.1103/PhysRevA.87.022510
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页数：6
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