Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case

Physical Review. E
H PárragaF Borondo

Abstract

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.

References

Sep 19, 1994·Physical Review Letters· de Polavieja GGR M Benito
Oct 15, 2005·The Journal of Chemical Physics·F J ArranzF Borondo
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F J ArranzF Borondo
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D A WisniackiF Borondo
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F RevueltaF Borondo
Dec 11, 2013·The Journal of Chemical Physics·H PárragaF Borondo
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Oregi, F J Arranz
Jan 17, 2016·The Journal of Chemical Physics·Andrej JungingerRigoberto Hernandez
Feb 26, 2016·The Journal of Physical Chemistry. a·F RevueltaF Borondo
Jan 9, 2017·The Journal of Chemical Physics·F RevueltaF Borondo
Mar 14, 2018·The Journal of Physical Chemistry. a·H PárragaF Borondo

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Citations

Jul 18, 2021·Physical Review. E·F J ArranzF Borondo

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