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Solitons in Molecular Systems

  • Book
  • © 1985

Overview

Authors:
  1. A. S. Davydov

    1. Institute for Theoretical Physics, Kiev, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 4)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Collective Excitations in Quasi-Periodical Molecular Structures

    • A. S. Davydov
    Pages 1-23

  3. Excitations of Solitons in One-Dimensional Systems

    • A. S. Davydov
    Pages 24-36

  4. Dynamical Properties of Solitons

    • A. S. Davydov
    Pages 37-43

  5. Solitons in Molecular Systems with Nonlinear Intermolecular Interactions

    • A. S. Davydov
    Pages 44-60

  6. Super-Sound Acoustic Solitons

    • A. S. Davydov
    Pages 61-70

  7. Theory of Electron Transfer by Solitons

    • A. S. Davydov
    Pages 71-93

  8. Space-Periodic Excitations in Nonlinear Systems

    • A. S. Davydov
    Pages 94-133

  9. Long Waves in Nonlinear Media with Cubic Dispersion

    • A. S. Davydov
    Pages 134-163

  10. The Nonlinear Sine-Gordon Equation

    • A. S. Davydov
    Pages 164-207

  11. Some Nonlinear Phenomena in Solids

    • A. S. Davydov
    Pages 208-218

  12. Conformal Excitations in One-Dimensional Molecular Systems

    • A. S. Davydov
    Pages 219-226

  13. Solitons and Proton Motion in Molecular Systems with Hydrogen Bonds

    • A. S. Davydov
    Pages 227-241

  14. Three-Dimensional Solitons (Polarons) in Ionic Crystals

    • A. S. Davydov
    Pages 242-259

  15. Back Matter

    Pages 260-319
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About this book

Approach your problems from the It isn't that they can't see the end and begin with the answers. solution. It is that they can't Then one day, perhaps you will see the problem. find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono­ graphs and textbooks on increasingly topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro­ gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electric engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "complete integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifica­ tion schemes. The draw upon widely different sections of mathematics.

Authors and Affiliations

  • Institute for Theoretical Physics, Kiev, USSR

    A. S. Davydov

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