Non-self-adjoint Schr?dinger Operator with a Periodic Potential, Veliev
Автор: Schm?dgen Название: Unbounded Self-Adjoint Operators on Hilbert Space ISBN: 9400747527 ISBN-13(EAN): 9789400747524 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) .
Описание: Over the last decades, the study of nonself-adjoint or nonunitary operators has been mainly based on the method of characteristic functions and on methods of model construction or dilatation for corresponding operator classes.
Автор: Deng Yongbo Название: Adjoint Topology Optimization Theory for Nano-Optics ISBN: 9811679681 ISBN-13(EAN): 9789811679681 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book focuses on the topology optimization method for nano-optics. The comprehensive and systematic treatment of practical issues in topology optimization for nano-optics is one of the major features of the book, which is particularly suited for readers who are interested to learn practical solutions in topology optimization.
Описание: The computational models of physical systems comprise parameters, independent and dependent variables. Since the physical processes themselves are seldom known precisely and since most of the model parameters stem from experimental procedures which are also subject to imprecisions, the results predicted by these models are also imprecise, being affected by the uncertainties underlying the respective model. The functional derivatives (also called “sensitivities”) of results (also called “responses”) produced by mathematical/computational models are needed for many purposes, including: (i) understanding the model by ranking the importance of the various model parameters; (ii) performing “reduced-order modeling” by eliminating unimportant parameters and/or processes; (iii) quantifying the uncertainties induced in a model response due to model parameter uncertainties; (iv) performing “model validation,” by comparing computations to experiments to address the question “does the model represent reality?” (v) prioritizing improvements in the model; (vi) performing data assimilation and model calibration as part of forward “predictive modeling” to obtain best-estimate predicted results with reduced predicted uncertainties; (vii) performing inverse “predictive modeling”; (viii) designing and optimizing the system. This 3-Volume monograph describes a comprehensive adjoint sensitivity analysis methodology, developed by the author, which enables the efficient and exact computation of arbitrarily high-order sensitivities of model responses in large-scale systems comprising many model parameters. The qualifier “comprehensive” is employed to highlight that the model parameters considered within the framework of this methodology also include the system’s uncertain boundaries and internal interfaces in phase-space. The model’s responses can be either scalar-valued functionals of the model’s parameters and state variables (e.g., as customarily encountered in optimization problems) or general function-valued responses. Since linear operators admit bona-fide adjoint operators, responses of models that are linear in the state functions (i.e., dependent variables) can depend simultaneously on both the forward and the adjoint state functions. Hence, the sensitivity analysis of such responses warrants the treatment of linear systems in their own right, rather than treating them as particular cases of nonlinear systems. This is in contradistinction to responses for nonlinear systems, which can depend only on the forward state functions, since nonlinear operators do not admit bona-fide adjoint operators (only a linearized form of a nonlinear operator may admit an adjoint operator). Thus, Volume 1 of this book presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as “nth-CASAM-L”), which is conceived for the most efficient computation of exactly obtained mathematical expressions of arbitrarily-high-order (nth-order) sensitivities of a generic system response with respect to all of the parameters underlying the respective forward/adjoint systems. Volume 2 of this book presents the application of the nth-CASAM-L to perform a fourth-order sensitivity and uncertainty analysis of an OECD/NEA reactor physics benchmark which is representative of a large-scale model comprises many (21,976) uncertain parameters, thereby amply illustrating the unique potential of the nth-CASAM-L to enable the exact and efficient computation of chosen high-order response sensitivities to model parameters. Volume 3 of this book presents the “nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (abbreviation: nth-CASAM-N) for the practical, efficient, and exact computation of arbitrarily-high order sensitivities of responses to model parameters for systems that are also nonlinear in their underlying state functions. Such computatio
Автор: Michael Bitbol Название: Schr?dinger`s Philosophy of Quantum Mechanics ISBN: 9401072914 ISBN-13(EAN): 9789401072915 Издательство: Springer Рейтинг: Цена: 27251.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These almost completely forgotten texts contained important insights into the interpretation of quantum mechanics, and they provided several ideas which were missing or elusively expressed in SchrOdinger`s published papers and books of the same period.
Автор: Kaspar Sakmann Название: Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates ISBN: 3642271057 ISBN-13(EAN): 9783642271052 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers the first numerically exact solutions of the time-dependent many-body Schrodinger equation for a bosonic Josephson junction, comparing them to approximate Gross-Pitaevskii and Bose-Hubbard theories. This opens exciting new aspects of physics.
Автор: Serafin Fraga; Jose M. Garcia de la Vega; Eric S. Название: The Schr?dinger and Riccati Equations ISBN: 3540651055 ISBN-13(EAN): 9783540651055 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The linear Schroedinger equation is central to Quantum Chemistry. The Riccati equation is used to study the one-dimensional Schroedinger equation. The authors develop the Schroedinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schroedinger equation.
Автор: Dowling, Jonathan P. Название: Schr?dinger`s Web ISBN: 0367337614 ISBN-13(EAN): 9780367337612 Издательство: Taylor&Francis Рейтинг: Цена: 27562.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As the race to build the world`s first quantum computer is coming to an end, the race to build the quantum internet is has just started. This book leverages the author`s unique insights into both the Chinese and American quantum programs.
Автор: Walter Thirring; Paul Urban Название: The Schr?dinger Equation ISBN: 3709176751 ISBN-13(EAN): 9783709176757 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the occasion of the 50th anniversary of the discovery of the Schrodinger equation a small symposium was organized in Vienna. With their help this volume should become a useful document on the current mathematical art in the treatment of the Schrodinger equation.
Автор: Sandro Graffi Название: Schr?dinger Operators, Como 1984 ISBN: 3540160353 ISBN-13(EAN): 9783540160359 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wu-Ming Liu; Emmanuel Kengne Название: Schr?dinger Equations in Nonlinear Systems ISBN: 9811365806 ISBN-13(EAN): 9789811365805 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores the diverse types of Schr?dinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schr?dinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schr?dinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.
Описание: Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schroedinger operator, the book features a complete spectral analysis of the Mathieu-Schroedinger operator and the Schroedinger operator with a parity-time (PT)-symmetric periodic optical potential.
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