{"product_id":"interplay-of-quantum-mechanics-and-nonlinearity-understanding-smallsystem-dynamics-of-the-discrete-nonlinear-schroedinger-equation-9783030948108","title":"Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schroedinger Equation","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis book provides an in-depth study of the discrete nonlinear Schrödinger equation (DNLSE) with an emphasis on spatially small systems that permit analytic solutions. It discusses the interplay of the initial quantum phase with nonlinearity, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, rotational polarons, and Bose-Einstein condensation. It is aimed at researchers and advanced graduate students and includes chapter summaries, problems, and an extensive bibliography. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 310 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 29 March 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis comprehensive book delves into the intricate realm of the discrete nonlinear Schrödinger equation (DNLSE), focusing on spatially small systems that enable analytic solutions. Despite the fundamental linearity of quantum mechanics, the DNLSE emerges as an approximation in numerous quantum systems of contemporary interest. Examples include polaron physics and Bose-Einstein condensation, where theoretical tools developed in this text find practical applications.\u003cbr\u003e\u003cbr\u003eThe book begins with an introduction to the DNLSE, using the dimer as an illustrative example. It then develops fundamental analytic tools such as elliptic functions, providing insights into experimental observations. The interplay between the initial quantum phase and nonlinearity is explored, leading to novel phenomena with observable consequences in fields like fluorescence depolarization of stick dimers.\u003cbr\u003e\u003cbr\u003eSubsequent chapters analyze more complex and\/or larger systems, including the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. The book addresses phenomena such as strong carrier-phonon interactions and Bose-Einstein condensation.\u003cbr\u003e\u003cbr\u003eDesigned for researchers and advanced graduate students, this book includes chapter summaries, problems for testing comprehension, and an extensive bibliography. It serves as a vital resource for condensed matter and low-temperature atomic physics researchers, as well as anyone interested in gaining fascinating insights into the role of nonlinearity in quantum physics.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 516g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030948108\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"V. M.Kenkre","offers":[{"title":"Paperback \/ softback","offer_id":44103079952634,"sku":"9783030948108","price":54.13,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_7686c5cb-7ea9-453b-bd7a-06396daf82e4.jpg?v=1669553744","url":"https:\/\/shulphink.com\/products\/interplay-of-quantum-mechanics-and-nonlinearity-understanding-smallsystem-dynamics-of-the-discrete-nonlinear-schroedinger-equation-9783030948108","provider":"Shulph Ink","version":"1.0","type":"link"}