中国物理B ›› 2008, Vol. 17 ›› Issue (1): 140-147.doi: 10.1088/1674-1056/17/1/025

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Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets

孟慧艳1, 史庭云2, 张月霞3   

  1. (1)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; (2)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; (3)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
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10674154).

Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets

Zhang Yue-Xia(张月霞)a)b), Meng Hui-Yan(孟慧艳)a)c), and Shi Ting-Yun(史庭云)a)†   

  1. a 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; b Graduate School of the Chinese Academy of Sciences, Beijing 100080, China; c Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10674154).

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摘要： 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.

关键词: hydrogen atom, B-spline, complex scaling method, resonance, parallel electric and magnetic fields

Abstract: The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters $E_r$ and $\varGamma/2$ 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.

Key words: hydrogen atom, B-spline, complex scaling method, resonance, parallel electric and magnetic fields

中图分类号:  (Calculations and mathematical techniques in atomic and molecular physics)

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