CO2 molecule as a quantum realization of the 1 : 1 : 2 resonant swing-spring with monodromy
File(s)
Published version
Author(s)
Type
Journal Article
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.
Date Issued
2004-07-09
Date Acceptance
2004-03-15
Citation
Physical Review Letters, 2004, 93 (2)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
93
Issue
2
Copyright Statement
© 2004 American Physical Society.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000222532100041&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
GEOMETRIC PHASES
Publication Status
Published
Article Number
024302
Date Publish Online
2004-07-08