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Chin. Phys. B, 2008, Vol. 17(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

Zhang Yue-Xia(张月霞)a)b), Meng Hui-Yan(孟慧艳)a)c), and Shi Ting-Yun(史庭云)a)†
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
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.
Keywords:  hydrogen atom      B-spline      complex scaling method      resonance      parallel electric and magnetic fields  
Accepted manuscript online: 
PACS:  31.15.-p (Calculations and mathematical techniques in atomic and molecular physics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10674154).

Cite this article: 

Zhang Yue-Xia(张月霞), Meng Hui-Yan(孟慧艳), and Shi Ting-Yun(史庭云) Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets 2008 Chin. Phys. B 17 140

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