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• W1973229708 endingPage "2671" @default.
• W1973229708 startingPage "2653" @default.
• W1973229708 abstract "A general scheme of qualitative analysis is applied to molecular rovibrational problems. The classical-quantum correspondence provides a description of different classes of localized quantum rotation-vibration states associated with localized classical motion. A description of qualitative features, such as localized motion, and of qualitative changes, such as localization phenomena, is based on the concept of the simplest Hamiltonian. It uses only the topological properties of the compact reduced phase space and the action of the symmetry group on this space. The qualitative changes of the simplest Hamiltonian are analyzed as bifurcations caused by rotational or vibrational excitation. The relation between the stationary points of the classical Hamiltonian function on the reduced phase space and the principal periodic trajectories in the coordinate space is analyzed for vibrational Hamiltonians. In particular, the relation between the nonlinear normal modes, proposed by Montaldi, Roberts, and Stewart [Philos. Trans. R. Soc. London, Ser. A 325, 237 (1988)], and normal- and local-mode models widely used in molecular physics is discussed. Along with a general consideration of localized rotational and vibrational states a more detailed analysis of the vibrational dynamics of an ${X}_{3}$ molecule with the ${D}_{3h}$ symmetry, such as the ${mathrm{H}}_{3}^{+}$ molecular ion, is given." @default.
• W1973229708 created "2016-06-24" @default.
• W1973229708 creator A5080876810 @default.
• W1973229708 creator A5090681857 @default.
• W1973229708 date "1993-04-01" @default.
• W1973229708 modified "2023-09-23" @default.
• W1973229708 title "Group-theoretical and topological analysis of localized rotation-vibration states" @default.
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• W1973229708 doi "https://doi.org/10.1103/physreva.47.2653" @default.
• W1973229708 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9909235" @default.
• W1973229708 hasPublicationYear "1993" @default.
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