Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem
Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem
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DOI：
10.1088/0256-307x/25/4/025
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发表时间：
2008-04
影响因子：
3.5
通讯作者：
Shen Li;W. Lei;L. Xiaojun;Shi Ting-Yun;Liu Hong-ping
中科院分区：
文献类型：
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作者：
Shen Li;W. Lei;L. Xiaojun;Shi Ting-Yun;Liu Hong-ping
研究了自由场中简单原子共振散射问题的 B 样条基础上的复数旋转方法的稳定性。数值计算表明，该方法具有解在较宽的旋转角度θ范围内不会发生变化的特点。我们确定的散射共振能量和宽度与普遍接受的值完全一致。尽管范围非常广泛，但新的共振仍以数字形式被识别。提出复特征值的范数，竖条E竖条，以研究和评估所获得的复特征值的稳定性。
The stability of the complex-rotation method in B-spline basis for a simple atomic resonant scattering problem in free field is investigated. The numerical calculation shows that this method has a feature that the solution will not change in a wide range of rotation angle theta. Our determined scattering resonant energies and widths exactly coincide with the popularly accepted values. A new resonance is identified numerically although it is very broad. The norm of the complex eigenvalue, vertical bar E vertical bar, is proposed to investigate and to evaluate the stability of the obtained complex eigenvalues.