Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem
SHEN Li1,2, WANG Lei1,2, LIU Xiao-Jun1, SHI Ting-Yun1, LIU Hong-Ping1
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 4300712Graduate School of Chinese Academy of Sciences, Beijing 100080
Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 4300712Graduate School of Chinese Academy of Sciences, Beijing 100080
摘要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 θ. 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, |E|, is proposed to investigate and to evaluate the stability of the obtained complex eigenvalues.
Abstract：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 θ. 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, |E|, is proposed to investigate and to evaluate the stability of the obtained complex eigenvalues.
SHEN Li;WANG Lei;LIU Xiao-Jun;SHI Ting-Yun;LIU Hong-Ping. Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem[J]. 中国物理快报, 2008, 25(4): 1255-1258.
SHEN Li, WANG Lei, LIU Xiao-Jun, SHI Ting-Yun, LIU Hong-Ping. Stability of Complex-Rotation Method on a Simple Resonant Scattering Problem. Chin. Phys. Lett., 2008, 25(4): 1255-1258.
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2008, Vol. 25 
