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Titlebook: Interplay of Quantum Mechanics and Nonlinearity; Understanding Small- V. M. (Nitant) Kenkre Book 2022 The Editor(s) (if applicable) and The

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Miscellaneous Topics and Summary of the Book,dded in an extended linear system, and even covered the only classical system treated in this book, excimers in molecular aggregates..In the second part, a review of what was covered in the book was given after-the-fact, making clear the links and the connections between the various chapters.
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,The Discrete Nonlinear Schrödinger Equation and the Two-State System (Dimer),n moving among the sites of a crystal with phonons could lead to a suppression of the site energy of the particle. Self-trapping is expected but difficult or impossible to study analytically from the equation on an extended system. A simple numerical investigation was shown to lead to what looks lik
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Extended Systems with Global Interactions, and Nonlinear Trapping, initial conditions with high symmetry were selected for study so that whatever the site number, it was divided into two subgroups, evolution in each of which was identical from site to site but different from the other subgroup. Transitions were noted, analytic solutions were obtained and their ave
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Slow Relaxation: The Nonadiabatic Nonlinear Dimer,s Chapter. This was done by introducing into the system a degree of freedom exemplified by the vibrational coordinate and by investigating situations in which it did not relax with infinite rapidity to the adiabatic limit. The first plot exhibited in the Chapter showed what was to come, the next hal
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Thermal Effects: Phase-Space and Langevin Formulations,soliton served as a backdrop for the investigations although they were not the focus of the analysis. The conflicting situation in the literature about the fate of that soliton, originally suggested as the carrier of the energy released by the hydrolysis of adenosine triphosphate, was described as a
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