Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case.,Physical Review E

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Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case.
Physical Review E ( IF 2.2 ) Pub Date : 2020-06-26 , DOI: 10.1103/physreve.101.062215
H Párraga ₁ , F J Arranz ₁ , R M Benito ₁ , F Borondo _{2,

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Affiliation

The correlation diagrams of vibrational energy levels considering the Planck constant as a variable parameter have proven as a very useful tool to study vibrational molecular states, and more specifically in relation to the quantum manifestations of chaos in such dynamical systems. In this paper, we consider the highly nonlinear K-CN molecule, showing how the regular classical structures, i.e., Kolmogorov-Arnold-Moser tori, existing in the mixed classical phase space appear in the quantum levels correlation diagram as emerging diabatic states, something that remains hidden when only the actual value of the Planck constant is considered. Additionally, a quantum transition from order to chaos is unveiled with the aid of these correlation diagrams, where it appears as a frontier of scarred functions.

中文翻译：

使用相关图研究高度非线性的软盘分子的振动谱：K-CN情况。

将普朗克常数作为变量参数的振动能级的相关图已被证明是研究振动分子状态的一种非常有用的工具，尤其是与这种动力学系统中混沌的量子表现有关的工具。在本文中，我们考虑了高度非线性的K-CN分子，表明存在于混合经典相空间中的规则经典结构，即Kolmogorov-Arnold-Moser tori，如何在量子能级相关图中以新兴的非绝热态出现，仅考虑普朗克常数的实际值时，该值将保持隐藏状态。此外，借助这些相关图，揭示了从有序到无序的量子跃迁，在跃迁中它表现为疤痕函数的前沿。

更新日期：2020-06-26

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