Titlebook: Vibrational-Rotational Excitations in Nonlinear Molecular Systems; A. A. Ovchinnikov,N. S. Erikhman,K. A. Pronin Book 2001 Springer Scienc

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RENAL

Coupled nonlinear oscillators: formation and decay of local modes,acting nonlinear oscillators. A topological definition of LMs and NMs is provided, based on the study of the structure of phase space in the vicinity of the considered trajectory. According to such a definition an NM is a set of resonant trajectories .ω. = .ω. with its close vicinity. The sizes of s

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Discrete breathers,m a natural generalization of the notion of a local mode — from a finite Hamiltonian system to an infinite lattice. This is why many notions are easily and transparently taken over from the world of finite-dimensional Hamiltonian systems to that of infinite-dimensional ones. Such examples are the no

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,Quantum theory of vibrational — rotational spectra in , — type molecules,f polyatomic molecules. The nonlinearity is revealed in a particularly pronounced way in stretching vibrations of valence bonds of the type . — ., . — ., . — ., formed by a hydrogen atom and some other heavy atom.

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Semiclassical rotational spectra of rigid and semi-rigid molecules; clusterization of levels and in J ≫ 1. The ‘degree’ of clusterization can be calculated with the use of the quasiclassical approach (method WKB) due to the inequality J ≫ 1. For the rotation Hamiltonian the rotational part . (.) of the total rotation-vibration molecular Hamiltonian can be chosen after a suitable contact transform

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Intramolecular relaxation of vibrations in the presence of local modes, example), the nonlinearity of intramolecular vibrations leads to the appearance of Local Modes (LM) and to highly pronounced clusterization of vibrational levels. The same applies to the rotational evolution (motion) of the molecule, as rotations are governed by a nonlinear Hamiltonian. The rotatio

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Conclusion,ls like .,., etc. This nonlinearity is revealed most transparently at high excitation levels of the vibrational/rotational mode in the presence of a point symmetry of the initial Hamiltonian. Then the strong excitation leads to the dynamical violation of the initial symmetry. The IR spectra under in

ANTH

Book 2001"If there would be no nonlinearity ~ than what physics would that be‘?". Really, the most interesting and exciting effects are described by non­ linear equations, and vanish in the linear approximation. For example, the general theory of relativity by A.Einstein comes to mind first - one of the most