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Scattering Matrix Determination by Asymptotic Analysis of Complex Scaled Resonance Wavefunctions: Model Cl + H2 Nonadiabatic Dynamics

机译:基于复杂尺度共振波函数渐近分析的散射矩阵确定:Cl + H2非绝热动力学模型

摘要

It has previously been shown that partial widths of resonance states can be calculated by the asymptotic analysis of the complex scaled resonance wave function [U. Peskin, N. Moiseyev, and R. Lefebvre, J. Chem. Phys. 92, 2902 (1990)] and by the complex coordinate scattering theory [N. Moiseyev and U. Peskin, Phys. Rev. A 42, 255 (1990)]. Here we use these methods for the first time to calculate complex partial width amplitudes. The complex amplitudes are independent of the complex scaling parameters and are used for calculating the resonance contribution to the scattering matrix (the S matrix) in the case of Cl+H2 scattering described by two coupled one-dimensional potential energy curves. The background contribution to the S matrix was calculated by the use of one ClH2 potential energy curve only. The sum of the resonance and the background contributions provides accurate complex S matrix elements and transition probabilities, even at the resonance energy for which total reflection is obtained due to the interference between the two contributions. © 1999 American Institute of Physics. Scattering matrix determination by asymptotic analysis of complex scaled resonance wave functions: Model Cl+H2 nonadiabatic dynamics (PDF Download Available). Available from: http://www.researchgate.net/publication/234920681_Scattering_matrix_determination_by_asymptotic_analysis_of_complex_scaled_resonance_wave_functions_Model_ClH2_nonadiabatic_dynamics [accessed Nov 30, 2015].
机译:以前已经表明,可以通过对复比例的谐振波函数[U.进行渐近分析]来计算谐振状态的部分宽度。 Peskin,N. Moiseyev和R. Lefebvre,J. Chem。物理92,2902(1990)]和复坐标散射理论[N. Moiseyev和U. Peskin,物理学。 Rev.A 42,255(1990)]。在这里,我们首次使用这些方法来计算复杂的局部宽度幅度。复振幅与复比例缩放参数无关,在由两个耦合的一维势能曲线描述的Cl + H2散射的情况下,复振幅用于计算对散射矩阵(S矩阵)的共振贡献。仅通过使用一条ClH2势能曲线即可计算出对S矩阵的背景贡献。共振和背景贡献的总和提供了精确的复数S矩阵元素和跃迁概率,即使在由于两个贡献之间的干扰而获得全反射的共振能量处也是如此。 ©1999美国物理研究所。通过渐进分析复杂比例谐振波函数的渐近分析确定散射矩阵:Cl + H2非绝热动力学模型(可用PDF下载)。可从以下网站获得:http://www.researchgate.net/publication/234920681_Scattering_matrix_determination_by_asymptotic_analysis_of_complex_scaled_resonance_wave_functions_Model_ClH2_nonadiabatic_dynamics [2015年11月30日访问]。

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