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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 104, 2006 - Issue 16-17: Nineteenth Colloquium on High Resolution Molecular Spectroscopy, Salamanca 11–16 September 2005
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Original Articles

Quantum monodromy and its generalizations and molecular manifestations

D. A. Sadovskií Université du Littoral , UMR 8101 du CNRS, 59140 Dunkerque, France
&
B. I. Zhilinskií Université du Littoral , UMR 8101 du CNRS, 59140 Dunkerque, France
Pages 2595-2615 | Received 19 Jan 2006, Accepted 20 Feb 2006, Published online: 28 Nov 2010

Citations (28)

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D. A. Sadovskií & B. I. Zhilinskií. (2018) Qualitative models of intramolecular dynamics of acetylene: relation between the bending polyads of acetylene and perturbed Keplerian systems. Molecular Physics 116:23-24, pages 3564-3601.
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M.S. Child. (2014) Quantum monodromy and molecular spectroscopy. Contemporary Physics 55:3, pages 212-221.
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Articles from other publishers (26)

Juan J. Omiste, Rosario González-Férez & Rafael Ortega. (2022) An introduction to classical monodromy: Applications to molecules in external fields. Journal of Mathematical Physics 63:3.
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G. Gaeta & G. Pucacco. (2022) Near-resonances and detuning in classical and quantum mechanics. Mathematics in Engineering 5:1, pages 1-44.
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Sourav Karmakar & Srihari Keshavamurthy. (2020) Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective. Physical Chemistry Chemical Physics 22:20, pages 11139-11173.
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C. Chen & J. B. Delos. (2018) Topological changes of wave functions associated with Hamiltonian monodromy. Physical Review E 97:6.
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Jens Bolte, Sebastian Egger & Stefan Keppeler. (2017) A Gutzwiller trace formula for large hermitian matrices. Reviews in Mathematical Physics 29:08, pages 1750027.
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Michal Kloc, Pavel Stránský & Pavel Cejnar. (2017) Monodromy in Dicke superradiance. Journal of Physics A: Mathematical and Theoretical 50:31, pages 315205.
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Mark D. Hamilton. (2017) Classical and quantum monodromy via action–angle variables. Journal of Geometry and Physics 115, pages 37-44.
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Dmitrií A. Sadovskí. (2016) Nekhoroshev’s approach to Hamiltonian monodromy. Regular and Chaotic Dynamics 21:6, pages 720-758.
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Aleksandra A. Kyuberis, Lorenzo Lodi, Nikolai F. Zobov & Oleg L. Polyansky. (2015) Ab initio calculation of the ro-vibrational spectrum of H2F+. Journal of Molecular Spectroscopy 316, pages 38-44.
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Ketan Sharma & Bretislav Friedrich. (2015) Directional properties of polar paramagnetic molecules subject to congruent electric, magnetic and optical fields. New Journal of Physics 17:4, pages 045017.
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T. Iwai & B. Zhilinskii. (2014) Topological phase transitions in the vibration–rotation dynamics of an isolated molecule. Theoretical Chemistry Accounts 133:7.
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D. I. Tonkonog. (2013) A simple proof of the geometric fractional monodromy theorem. Moscow University Mathematics Bulletin 68:2, pages 118-121.
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Konstantinos Efstathiou & Andrea Giacobbe. (2012) The topology associated with cusp singular points. Nonlinearity 25:12, pages 3409-3422.
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Boris Zhilinskií. 2011. Mathematics of Complexity and Dynamical Systems. Mathematics of Complexity and Dynamical Systems 1438 1456 .
Vivian Tyng & Michael E. Kellman. (2010) Bifurcation Phase Diagram for C 2 H 2 Bending Dynamics Has a Tetracritical Point with Spectral Patterns . The Journal of Physical Chemistry A 114:36, pages 9825-9831.
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Brenda P. Winnewisser, Manfred Winnewisser, Ivan R. Medvedev, Frank C. De Lucia, Stephen C. Ross & Jacek Koput. (2010) Analysis of the FASSST rotational spectrum of NCNCS in view of quantum monodromy. Physical Chemistry Chemical Physics 12:29, pages 8158.
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O Babelon, L Cantini & B Douçot. (2009) A semi-classical study of the Jaynes–Cummings model. Journal of Statistical Mechanics: Theory and Experiment 2009:07, pages P07011.
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N. J. Fitch, C. A. Weidner, L. P. Parazzoli, H. R. Dullin & H. J. Lewandowski. (2009) Experimental Demonstration of Classical Hamiltonian Monodromy in the Resonant Elastic Pendulum . Physical Review Letters 103:3.
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Boris Zhilinskií. 2022. Perturbation Theory. Perturbation Theory 433 455 .
Boris Zhilinskií. 2009. Encyclopedia of Complexity and Systems Science. Encyclopedia of Complexity and Systems Science 7135 7154 .
G. Dhont & B. I. Zhilinskií. (2008) Classical and quantum fold catastrophe in the presence of axial symmetry. Physical Review A 78:5.
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Marko Härtelt & Bretislav Friedrich. (2008) Directional states of symmetric-top molecules produced by combined static and radiative electric fields. The Journal of Chemical Physics 128:22.
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M S Hansen, F Faure & B I Zhilinskií. (2007) Fractional monodromy in systems with coupled angular momenta. Journal of Physics A: Mathematical and Theoretical 40:43, pages 13075-13089.
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Mark S. Child. 2007. Advances in Chemical Physics. Advances in Chemical Physics 39 94 .
Michal Macek, Pavel Stránský, Pavel Cejnar, Stefan Heinze, Jan Jolie & Jan Dobeš. (2007) Classical and quantum properties of the semiregular arc inside the Casten triangle. Physical Review C 75:6.
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D.A. Sadovskií & B.I. Zhilinskií. (2007) Hamiltonian systems with detuned 1:1:2 resonance: Manifestation of bidromy. Annals of Physics 322:1, pages 164-200.
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