Davydov’s Soliton Revisited

Section I: Low Temperature Theory.- 1. Solitons in Biology and Possible Role of Bisolitons in High-Tc Superconductivity.- 2. Quantum-Mechanical Derivation of the Davydov Equations for Multi-Quanta States.- 3. A Classical and Quantum Theory of Dynamical Self-Trapping in Nonlinear Systems and its Implication to Energy Transfer in Biological Systems.- 4. Vibron Solitons: A Semiclassical Approach.- 5. When Is A Soliton?.- 6. Quantum Monte Carlo Simulations of the Davydov Model.- 7. Quantum Effects on the Davydov Soliton.- 8. Davydov Ansatz and Proper Solutions of Schrödinger Equation for Fröhlich Hamiltonian.- 9. Unitary Transformation and “Decoupling” of Excitons and Phonons in ACN.- 10. Soliton Generation in Infinite and Half-Infinite Molecular Chains.- 11. Soliton Dynamics in the Eilbeck-Lomdahl-Scott Model for Hydrogen-Bonded Polypeptides.- 12. Influence of Davydov Splitting on Solitons in Alpha-Helix.- 13. Interaction of an Extra Electron with Optical Phonons in Long Molecular Chains and Ionic Crystals.- 14. Self-Trapping in a Molecular Chain with Substrate Potential.- Section II: Exciton-Phonon Coupling.- 15. On the Calculations of the Exciton-Phonon Coupling Parameters in the Theory of Davydov Solitons.- 16. Quantum Chemical Calculations of Molecular Parameters Defining Davydov Soliton Dynamics in Polypeptides.- 17. On Ab Initio Estimations of the Nonlinearity Parameters in the Davydov Model.- Section III: Temperature Stability.- 18. The Quantum Theory of Solitons with Thermal Vibration Taken into Account.- 19. Davydov Solitons at 300 Kelvin: The Final Search.- 20. Influence of Heat Bath and Disorder on Davydov Solitons.- 21. Perturbation Estimate of the Lifetime of the Davydov Soliton at 300K.- 22. The Temperature Dependence of Exciton-Phonon Coupling in theContext of Davydov’s Model; The Dynamic Damping of Soliton.- 23. Temperature Effects on the Davydov Soliton.- 24. Thermal Stability of the Davydov Soliton.- Section IV: Experimental Results.- 25. The Amide-I Band in Acetanilide: Physical Properties and Biological Suggestions.- 26. Incoherent Neutron Scattering and Infra-Red Measurements in Acetanilide and Derivatives.- 27. Spectroscopy of the Amide-I Modes of Acetanilide.- 28. Biomolecular Dynamics Studied by Vibrational Spectroscopy.- 29. Molecular Crystals and Localized Vibrational States.- 30. Search for Remote Transfer of Vibrational Energy in Proteins.- Section V: Related Topics.- 31. Davydov’s Soliton and Fröhlich’s Condensation: Is There a Connection?.- 32. The Soliton and Bisoliton Input into the Elastic Scattering of Slow Neutrons.- 33. Dissociation of Davydov Solitons by Electromagnetic Waves.- 34. Vibrational Properties and Energy Transport in Acetanilide by Molecular Dynamics.- 35. On the Possible Role of Phonon-Modulated Tunneling in Excimer Formation.- 36. Excimers in Molecular Crystals: The Relaxation of a Nonlinear Oscillator.- 37. The Nonresonant DST Equation as a Model for McClare’s Excimer.- Section VI: The Discrete Self-Trapping Equation.- 38. Introduction to the Discrete Self-Trapping Equation.- 39. Energy Localization in Small Biomolecules.- 40. Local Modes and Degenerate Perturbation Theory.- 41. Quantum and Classical Descriptions of Chaos in the DST Equation.- 42. Eigenvalue Statistics and Eigenstate Wigner Functions for the Discrete Self-Trapping Equation.- 43. The Discrete Nonlinear Schroedinger Equation: Nonadiabatic Effects, Finite Temperature Consequences, and Experimental Manifestations.- Participants.- Workshop Photograph.