Determination of Scaling Parameter and Dynamical Resonances in Complex-Rotated Hamiltonian Ⅱ: Numerical Analysis |
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作者姓名: | ZHAO Fang ;ZHAO Mei-Shan |
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作者单位: | [1]Department of Mathematics and Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA; [2]The James Franck Institute and Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA |
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基金项目: | Acknowledgments This work is supported in part by a grant from the Collegiate Scholars Program. One of the authors, Fang Zhao, was supported in part by VIGRE (Vertical Integration of Research and Education) at The University of Chicago. |
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摘 要: | This paper is concerned with the determination of a unique scaling parameter in complex scaling analysis and with accurate calculation of dynamics resonances. In the preceding paper we have presented a theoretical analysis and provided a formalism for dynamical resonance calculations. In this paper we present accurate numerical results for two non-trivial dynamical processes, namely, models of diatomic molecular predissociation and of barrier potential scattering for resonances. The results presented in this paper confirm our theoretical analysis, remove a theoretical ambiguity on determination of the complex scaling parameter, and provide an improved understanding for dynamical resonance calculations in rigged Hilbert space.
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关 键 词: | 测定方法 标定参数 动力学 共振 哈密顿函数 数字分析 |
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