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Vibrational-Rotational Excitations in Nonlinear Molecular Systems

  • Book
  • © 2001

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Authors:
  1. A. A. Ovchinnikov

    1. Joint Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia

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  2. N. S. Erikhman

    1. Joint Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia

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  3. K. A. Pronin

    1. Joint Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Introduction

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 1-16

  3. Classical theory of nonlinear vibrational systems; local modes

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 17-53

  4. Coupled nonlinear oscillators: formation and decay of local modes

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 55-96

  5. Discrete breathers

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 97-117

  6. Quantum theory of vibrational — rotational spectra in XY2 — type molecules

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 119-141

  7. Quantum Hamiltonians of vibrational — rotational excitations in polyatomic molecules; method of contact transformations

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 143-176

  8. Semiclassical rotational spectra of rigid and semi-rigid molecules; clusterization of levels and internal symmetry

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 177-242

  9. Interaction of vibrations and rotations; polyads and their spectra

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 243-281

  10. Intramolecular relaxation of vibrations in the presence of local modes

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 283-311

  11. IR spectra and intramolecular relaxation

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 313-340

  12. Conclusion

    • A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 341-342

  13. Back Matter

    Pages 343-355
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Keywords

About this book

"If there would be no God ~ then what a staff-captain am I?" ~ said one of the characters in a novel by Dostoevskii. In a similar way we can exclaim: "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 beautiful physical theories, which is in fact essentially nonlinear. Next, the phase transitions crystal ~ liquid and liquid ~ gas are due to the anhar­ monicity of inter-particle interactions, to dissociation and infinite motion. Similarly, transitions into the superconducting state or the superftuid would be impossible with purely harmonic interaction potentials. Another bril­ liant achievement in nonlinear physics was the construction of a laser and the subsequent development of nonlinear optics. The latter describes the in­ teraction of the matter with light of super-high intensity, when multi-quanta intra-molecular transitions become essential. Last, we should note here the very beautiful mathematical theory ~ the theory of catastrophes. Its subject is the study of invariant general properties of multi-dimensional surfaces in the vicinity of bifurcation points with respect to continuous transformations.

Authors and Affiliations

  • Joint Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia

    A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin

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