Vibrational-Rotational Excitations in Nonlinear Molecular Systems

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 1-16
  3. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 17-53
  4. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 55-96
  5. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 97-117
  6. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 119-141
  7. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 243-281
  8. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 283-311
  9. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 313-340
  10. A. A. Ovchinnikov, N. S. Erikhman, K. A. Pronin
    Pages 341-342
  11. Back Matter
    Pages 343-355

About this book

Introduction

"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.

Keywords

Phase Potential bifurcation cluster molecule quantum theory spectra

Authors and affiliations

  • A. A. Ovchinnikov
    • 1
  • N. S. Erikhman
    • 1
  • K. A. Pronin
    • 1
  1. 1.Joint Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-1317-9
  • Copyright Information Kluwer Academic/Plenum Publishers, New York 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5494-9
  • Online ISBN 978-1-4615-1317-9
  • About this book