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arXiv 0903.0020physics.atom-phastro-ph.SR
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强磁场中原子的赝谱方法

Pseudospectral methods for atoms in strong magnetic fields

Jeremy S. Heyl, Anand Thirumalai

摘要:

本文提出了一种新的赝谱算法,用于计算强磁场中原子的结构。我们已经验证了这种技术的一个,两个和三个电子原子在零磁场对实验室的结果,并发现通常优于百分之一的准确性。我们进一步验证这种技术对国家的最先进的计算氢,氦和锂在强磁场(高达约$2\times 10^{6}$ T),并找到了类似的协议水平。该算法的主要优点是其简单性(约130行注释代码)和速度(达到类似精度时,$10^2-10^5$比有限元方法快$10^2-10^5$倍)。

英文摘要:

We present a new pseudospectral algorithm for the calculation of the structure of atoms in strong magnetic fields. We have verified this technique for one, two and three-electron atoms in zero magnetic fields against laboratory results and find typically better than one-percent accuracy. We further verify this technique against the state-of-the-art calculations of hydrogen, helium and lithium in strong magnetic fields (up to about $2\times 10^{6}$ T) and find a similar level of agreement. The key enabling advantages of the algorithm are its simplicity (about 130 lines of commented code) and its speed (about $10^2-10^5$ times faster than finite-element methods to achieve similar accuracy).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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