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

共 50 条

[1] Monodromy of the quantum 1:1:2 resonant swing spring
Giacobbe, A
Cushman, RH
Sadovskií, DA
Zhilinskií, BI
JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (12) : 5076 - 5100
[2] Quantum spheres for OSpq(1/2) -: art. no. 103510
Aizawa, N
Chakrabarti, R
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (10)
[3] Theoretical study of resonant vibrational excitation of CO2 by electron impact -: art. no. 032716
Rescigno, TN
Isaacs, WA
Orel, AE
Meyer, HD
McCurdy, CW
PHYSICAL REVIEW A, 2002, 65 (03): : 13
[4] Classical and quantum-mechanical plane switching in CO2 -: art. no. 074318
Sanrey, M
Joyeux, M
Sadovskii, DA
JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (07):
[5] Polystyrene thin films in CO2 -: art. no. 051601
Meli, L
Pham, JQ
Johnston, KP
Green, PF
PHYSICAL REVIEW E, 2004, 69 (05): : 8
[6] CO2 frost cap thickness on Mars during northern winter and spring -: art. no. 5103
Feldman, WC
Prettyman, TH
Boynton, WV
Murphy, JR
Squyres, S
Karunatillake, S
Maurice, S
Tokar, RL
McKinney, GW
Hamara, DK
Kelly, N
Kerry, K
JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS, 2003, 108 (E9)
[7] CO2 detection using carbon nanotube networks and micromachined resonant transducers -: art. no. 203112
Zribi, A
Knobloch, A
Rao, R
APPLIED PHYSICS LETTERS, 2005, 86 (20) : 1 - 3
[8] Carbon 1s core-hole lifetime in CO2 -: art. no. 042503
Carroll, TX
Hahne, J
Thomas, TD
Sæthre, LJ
Berrah, N
Bozek, J
Kukk, E
PHYSICAL REVIEW A, 2000, 61 (04): : 425031 - 425037
[9] A realization of N=1 SW(3/2,2) algebras with Wolf spaces -: art. no. 059
Naka, M
JOURNAL OF HIGH ENERGY PHYSICS, 2002, (12):
[10] Influence of chemical environment on resonant core excitation of C(1s) in CO2, OCS, and CS2 by electron impact -: art. no. 012701
Kroin, T
Michelin, SE
Falck, AS
Arretche, F
Lee, MT
Iga, I
PHYSICAL REVIEW A, 2003, 68 (01):

← 1 2 3 4 5 →