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25 April 2024

» pubmed » pmid15323921

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CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy
R H Cushman ; H R Dullin ; A Giacobbe ; D D Holm ; M Joyeux ; P Lynch ; D A Sadovskií ; B I Zhilinskií ;
Date:	9 Jul 2004
Journal:	Phys Rev Lett, 93 (2), 024302
Abstract:	We consider the wide class of systems modeled by an integrable approximation to the 3 degrees of freedom elastic pendulum with 1:1:2 resonance, or the swing-spring. This approximation has monodromy which prohibits the existence of global action-angle variables and complicates the dynamics. We study the quantum swing-spring formed by bending and symmetric stretching vibrations of the CO2 molecule. We uncover quantum monodromy of CO2 as a nontrivial codimension 2 defect of the three dimensional energy-momentum lattice of its quantum states.
Source:	PubMed, pmid15323921
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