CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy -: art. no. 024302

被引：61

作者：

Cushman, RH ^{[1
]}

Dullin, HR

Giacobbe, A

Holm, DD

Joyeux, M

Lynch, P

Sadovskií, DA

Zhilinskií, BI

机构：

[1] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands

[2] Univ Loughborough, Loughborough LE11 3TU, Leics, England

[3] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[4] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[5] Univ Grenoble 1, Spectrometrie Phys Lab, F-38402 St Martin Dheres, France

[6] Met Eireann, Dublin 9, Ireland

[7] Univ Littoral, CNRS, UMR 8101, F-59140 Dunkerque, France

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.93.024302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：024302 / 1

页数：4

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