The two-state linear curve crossing problems revisited. I. Analysis of Stokes phenomenon and expressions for scattering matrices

Chaoyuan Zhu*, Hiroki Nakamura, Nazzareno Re, Vincenzo Aquilanti

*Corresponding author for this work

研究成果: Article同行評審

73 引文 斯高帕斯(Scopus)

摘要

The classic problems of the two-state linear curve crossing both for the same and the opposite sign of slopes of the linear diabatic potentials are analyzed in a unified way by exactly dealing with the Stokes phenomenon for the four transition points of the associated second-order differential equations. First, distributions of the transition points and the Stokes lines are fully clarified for the whole range of the two parameters which effectively represent the coupling strength and the collision energy. Secondly, the so-called reduced scattering matrices are found to be expressed in terms of only one (complex) Stokes constant. This is made possible by finding the relations among the six Stokes constants. Finally, this one Stokes constant is given exactly and analytically by a convergent infinite series.

原文English
頁(從 - 到)1892-1904
頁數13
期刊The Journal of Chemical Physics
97
發行號3
DOIs
出版狀態Published - 八月 1992

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