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Titlebook: Davydov’s Soliton Revisited; Self-Trapping of Vib Peter Leth Christiansen,Alwyn C. Scott Book 1990 Springer Science+Business Media New York

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Davydov Ansatz and Proper Solutions of Schrödinger Equation for Fröhlich HamiltonianTheory of Davydov solitons in molecular systems is rather well established nowadays., but certain problems dealing with the quantum-mechanical foundations of the theory still remain, especially those concerning the applicability of various equations of motion, both quantum and classical.
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Soliton Generation in Infinite and Half-Infinite Molecular Chainstribution at the initial time. A study is made of the time evolution of an excitation given at the initial moment as a hyperbolic secant, a rectangular step, and a decreasing exponential, for an infinite chain. A mechanism for generating solitons by exciting the impurity molecules is considered.
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Ingo Deking,Frank Rath,Jürgen Schäferat the Institute for Theoretical Physics in Kiev starting from 1973 have shown that the effective transport of energy or electrons is due to certain properties of excited states of alpha-helical protein molecules in which peptide groups are arranged as three parallel quasiperiodic chains [1]. Peptid
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