Understanding the Schrodinger Equation: Some [Non]Linear Perspectives, Valentino A. Simpao
Автор: Agmon Shmuel Название: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (Mn-29) ISBN: 0691641420 ISBN-13(EAN): 9780691641423 Издательство: Wiley Рейтинг: Цена: 83550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paper
Автор: Fibich Gadi Название: Nonlinear Schrodinger Equation ISBN: 3319127470 ISBN-13(EAN): 9783319127477 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Nonlinear Schrodinger Equation
Автор: David Damanik, Jake Fillman Название: One-Dimensional Ergodic Schrodinger Operators: I. General Theory ISBN: 1470456060 ISBN-13(EAN): 9781470456061 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 118270.00 T Наличие на складе: Нет в наличии. Описание: Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.
Автор: Hayato Nawa, Hiroaki Kikuchi, Slim Ibrahim, Takafumi Akahori Название: Global Dynamics Above the Ground State Energy for the Combined Power-Type Nonlinear Schrodinger Equations with Energy-Critical Growth at Low Frequencies ISBN: 1470448726 ISBN-13(EAN): 9781470448721 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 80390.00 T Наличие на складе: Нет в наличии. Описание: Focuses on the combined power-type nonlinear Schrodinger equations with energy-critical growth, and studies the solutions slightly above the ground state threshold at low frequencies to obtain a so-called nine-set theory developed by Nakanishi and Schlag.
Автор: Yulia Karpeshina, Roman Shterenberg Название: Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two ISBN: 1470435438 ISBN-13(EAN): 9781470435431 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Considers a Schrodinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. The authors prove that the absolutely continuous spectrum of $H$ contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the following properties.
Автор: Agmon Shmuel Название: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (MN-29) ISBN: 0691613672 ISBN-13(EAN): 9780691613673 Издательство: Wiley Рейтинг: Цена: 31680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paper
Автор: David Damanik, Jake Fillman Название: One-Dimensional Ergodic Schrodinger Operators: I. General Theory ISBN: 1470470861 ISBN-13(EAN): 9781470470869 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks.Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).
Автор: Kenkre V. M. (Nitant) Название: Interplay of Quantum Mechanics and Nonlinearity: Understanding Small-System Dynamics of the Discrete Nonlinear Schrцdinger Equation ISBN: 3030948102 ISBN-13(EAN): 9783030948108 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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