书目名称 | Interplay of Quantum Mechanics and Nonlinearity |
副标题 | Understanding Small- |
编辑 | V. M. (Nitant) Kenkre |
视频video | http://file.papertrans.cn/473/472675/472675.mp4 |
概述 | Presents uncommon insights into the role of nonlinearity in quantum physics.Enriched with exercises to hone the reader’s skills and understanding.Provides powerful analytical tools and illustrates the |
丛书名称 | Lecture Notes in Physics |
图书封面 |  |
描述 | .This book presents an in-depth study of the discrete nonlinear Schrödinger 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 |
出版日期 | Book 2022 |
关键词 | Discrete nonlinear Schrödinger equation; DNLSE; Nonlinearity in quantum physics; Bose-Einstein condensa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-94811-5 |
isbn_softcover | 978-3-030-94810-8 |
isbn_ebook | 978-3-030-94811-5Series ISSN 0075-8450 Series E-ISSN 1616-6361 |
issn_series | 0075-8450 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |