Kenkre V. M. (Nitant) Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schrцdinger Equation 9783030948108

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Автор: Kenkre V. M. (Nitant)
Название: Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schrцdinger Equation
ISBN: 9783030948108
Издательство: Springer
Классификация:

Кибернетика и теория систем

Дифференциальное исчисление и дифференциальные уравнения

Квантовая физика (квантовая механика и квантовая теория поля)

Математическая физика

Химия

Материаловедение

ISBN-10: 3030948102
Обложка/Формат: Paperback
Страницы: 338
Вес: 0.47 кг.
Дата издания: 27.04.2022
Серия: Lecture notes in physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 32 tables, color; 34 illustrations, color; 80 illustrations, black and white; xxvi, 310 p. 114 illus., 34 illus. in color.
Размер: 23.39 x 15.60 x 1.78 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Understanding small-system dynamics of the discrete nonlinear schroedinger equation
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents an in-depth study of the discrete nonlinear Schr?dinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader’s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics.
Дополнительное описание: Chapter 1. The Discrete Nonlinear Schr?dinger Equation and the Two-State System (Dimer).- Chapter 2. Dimer Solutions, Mobility Reduction, and Neutron Scattering.- Chapter 3. Initial Delocalization, Phase-Nonlinearity Interplay, and Fluorescence Depolariza

Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schrцdinger Equation, Kenkre V. M. (Nitant)