Determination of Scaling Parameter and Dynamical Resonances in Complex-Rotated Hamiltonian Ⅱ: Numerical Analysis  

Determination of Scaling Parameter and Dynamical Resonances in Complex-Rotated Hamiltonian Ⅱ: Numerical Analysis

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作  者:ZHAO Fang ZHAO Mei-Shan 

机构地区:[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

出  处:《Communications in Theoretical Physics》2008年第3期607-612,共6页理论物理通讯(英文版)

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.

关 键 词:complex-rotated Hamiltonian predissociation resonances potential scattering 

分 类 号:O44[理学—电磁学]

 

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