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Solitons in Molecular Systems

BuchKartoniert, Paperback
319 Seiten
Englisch
Springer Netherlandserschienen am22.01.2013Softcover reprint of the original 1st ed. 1985
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; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory;mehr
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BuchKartoniert, Paperback
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BuchKartoniert, Paperback
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Produkt

KlappentextFurther, 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; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory;
Details
ISBN/GTIN978-94-017-3027-3
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2013
Erscheinungsdatum22.01.2013
AuflageSoftcover reprint of the original 1st ed. 1985
ReiheMathematics and its Applications
Seiten319 Seiten
SpracheEnglisch
Gewicht499 g
IllustrationenXVIII, 319 p. 9 illus.
Artikel-Nr.29460725

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr