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Solitons in Molecular Systems

Author: A S Davydov
Publisher: Dordrecht : Springer Netherlands, 1985.
Series: Mathematics and Its Applications, Soviet Series, 4.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A S Davydov
ISBN: 9789401730259 9401730253
OCLC Number: 851393386
Description: 1 online resource (xviii, 319 pages).
Contents: I. Collective Excitations in Quasi-Periodical Molecular Structures --
II. Excitations of Solitons in One-Dimensional Molecular Systems --
III. Dynamical Properties of Solitons --
IV. Solitons in Molecular Systems With Nonlinear Intermolecular Interactions --
V. Super-Sound Acoustic Solitons --
VI. Theory of Electron Transfer by Solitons --
VII. Space-Periodic Excitations in Nonlinear Systems --
VIII. Long Waves in Nonlinear Media with Cubic Dispersion --
IX the Nonlinear Sine-Gordon Equation --
X. Some Nonlinear Phenomena in Solids --
XI. Conformal Excitations in One-Dimensional Molecular Systems --
XII. Solitons and Proton Motion in Molecular Systems with Hydrogen Bonds --
XIII. Three-Dimensional Soliton (Polarons) in Ionic Crystal --
Appendix A. Coherent Phonon States in One-Dimensional Systems --
Al. Free Vibrations. Phonons --
A2. Vibrations of Atoms in the Presence of External Force --
A3. Virtual Phonons. Coherent States --
A4. Coherent States: Different Representations --
A5. General Properties of Coherent States --
A6. The Time-Dependent Evolution of Coherent States --
A7. Evaluation of Thermodynamical Averages --
Appendix B. Elementary Information of the Jacobian Elliptic Functions --
Appendix C. Elementary Data on the Jacobi Theta Functions --
C1. Relation of Theta Functions to Elliptic Functions and Integrals --
Appendix D. Solitons and the Molecular Mechanism of the Action of Microwave Radiation on Living Cells --
Appendix E. Subsonic and Supersonic Solitons in Quasi-One-Dimensional Molecular Structures --
E1. Basic Equations --
E2. An Integral Equation for the Case of Dispersion and Anharmonicity --
E3. Subsonic and Supersonic Solutions of the First Kind --
E4. Supersonic Solitons of the Second Kind --
Notes --
Additional Bibliography.
Series Title: Mathematics and Its Applications, Soviet Series, 4.
Responsibility: by A.S. Davydov.

Abstract:

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  Read more...

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