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Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets
作者姓名:张月霞  孟慧艳  史庭云
作者单位:State Key of Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China\;Graduate School of the Chinese Academy of Sciences, Beijing 100080, China;Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;State Key of Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 10674154).
摘    要:The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters Er and Г/2 of a hydrogen atom in parallel electric and magnetic fields. The method can calculate the ground and higher excited resonances accurately and efficiently. The resonance parameters with accuracies of 10^-9 - 10^-12 for hydrogen atom in parallel fields with different field strengths and symmetries are presented and compared with previous ones. Extension to the calculation of Rydberg atom in crossed electric and magnetic fields and of atomic double excited states in external electric fields is discussed.

关 键 词:氢原子  复杂标定方法  磁共振  谐振  电磁领域
收稿时间:2007-04-19
修稿时间:2007-07-31

Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets
Zhang Yue-Xi,Meng Hui-Yan and Shi Ting-Yun.Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets[J].Chinese Physics B,2008,17(1):140-147.
Authors:Zhang Yue-Xi  Meng Hui-Yan and Shi Ting-Yun
Institution:[1]State Key of Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; [2]Graduate School of the Chinese Academy of Sciences, Beijing 100080, China; [3]Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract:The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters $E_r}$ and $\Ga/2$ of a hydrogen atom in parallel electric and magnetic fields. The method can calculate the ground and higher excited resonances accurately and efficiently. The resonance parameters with accuracies of $10^{-9}-10^{-12}$ for hydrogen atom in parallel fields with different field strengths and symmetries are presented and compared with previous ones. Extension to the calculation of Rydberg atom in crossed electric and magnetic fields and of atomic double excited states in external electric fields is discussed.
Keywords:hydrogen atom  B-spline  complex scaling method  resonance  parallel electric and magnetic fields
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