CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy

Physical Review Letters

Volumn 93, Issue 2, 2004, Pages

  Cushman, R H ^a   Dullin, H R ^b   Giacobbe, A ^a   Holm, D D ^c,d   Joyeux, M ^e   Lynch, P ^f   Sadovskii D A ^g   Zhilinski B I ^g  

^a UTRECHT UNIVERSITY   (Netherlands)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

^e UNIV GRENOBLE ALPES   (France)

^f Irish Meteorological Service   (Ireland)

^g UNIVERSITÉ DU LITTORAL CÔTE D OPALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CARBON DIOXIDE; CRYSTAL LATTICES; DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; MOLECULAR STRUCTURE; MOLECULAR VIBRATIONS; OSCILLATORS (MECHANICAL); RESONANCE; WAVE EQUATIONS;

ANGULAR MOMENTUM; MONODROMY; QUANTUM REALIZATION;

QUANTUM THEORY;

EID: 4043084023     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.024302     Document Type: Article

References (17)

1. A. Vitt and G. Gorelik, Zh. Tekh. Fiz. 3, 294 (1933) [Sov. J. Tech. Phys. 3, 294, (1933)].
2. A. Vitt and G. Gorelik, Zh. Tekh. Fiz. 3, 294 (1933) [Sov. J. Tech. Phys. 3, 294, (1933)].
3. P. Lynch, Int. J. Non-Linear Mech. 37, 345 (2002); P. Lynch and C. Houghton, Physica (Amsterdam) 190D, 38 (2004).
4. P. Lynch, Int. J. Non-Linear Mech. 37, 345 (2002); P. Lynch and C. Houghton, Physica (Amsterdam) 190D, 38 (2004).
5. D. D. Holm and P. Lynch, SIAM J. Appl. Dyn. Syst. 1, 44 (2002).
6. D. D. Holm and G. Kovačič, Physica (Amsterdam) 56D, 270 (1992).
7. M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins, Physica (Amsterdam) 123D, 271 (1998).
8. D. David and D. D. Holm, J. Nonlinear Sci. 2, 241 (1992).
9. H. Dullin, A. Giacobbe, and R. H. Cushman, Physica (Amsterdam) 190D, 15 (2004).
10. J. J. Duistermaat, Commua Pure Appl. Math. 33, 687 (1980); for recent references on atomic and molecular systems with monodromy, see K. Efstathiou, M. Joyeux, and D. A. Sadovskií, Phys. Rev. A 69, 032504 (2004).
11. J. J. Duistermaat, Commua Pure Appl. Math. 33, 687 (1980); for recent references on atomic and molecular systems with monodromy, see K. Efstathiou, M. Joyeux, and D. A. Sadovskií, Phys. Rev. A 69, 032504 (2004).
12. R. H. Cushman and L. Bates, Global Aspects of Classical Integrable Systems (Birkhauser, Basel, 1997).
13. A. Giacobbe, R. H. Cushman, D. A. Sadovskií, and B. I. Zhilinskií (to be published).
14. E. B. Wilson, J. C. Decius, and P. C. Cross, Molecular Vibrations (McGraw-Hill, New York, 1955).
15. J. K. G. Watson, Mol. Phys. 19, 465 (1970).
16. J. Zuniga, A. Bastida, M. Alacid, and A. Requena, J. Mol. Spectrosc. 205, 62 (2001).
17. B. I. Zhilinskií, quant-ph/0303181.