Self-organization of matter is observed in every context and on all scales, from the nanoscale of quantum fields and subatomic particles to the macroscale of galaxy superclusters. This book analyzes the wide range of patterns of organization present in nature, highlighting their similarities rather than their differences. This unconventional approach results in an illuminating read which should be part of any Physics student's background.
Автор: Francesco Calogero Название: Zeros of Polynomials and Solvable Nonlinear Evolution Equations ISBN: 1108428592 ISBN-13(EAN): 9781108428590 Издательство: Cambridge Academ Рейтинг: Цена: 98200.00 T Наличие на складе: Невозможна поставка. Описание: Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs).
Автор: Jie Liu; Sheng-Chang Li; Li-Bin Fu; Di-Fa Ye Название: Nonlinear Adiabatic Evolution of Quantum Systems ISBN: 9811347999 ISBN-13(EAN): 9789811347993 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schr?dinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Автор: William Cruz-Santos, Guillermo Morales-Luna Название: Approximability of Optimization Problems through Adiabatic Quantum Computation ISBN: 1627055568 ISBN-13(EAN): 9781627055567 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 41580.00 T Наличие на складе: Невозможна поставка. Описание: The adiabatic quantum computation (AQC) is based on the adiabatic theorem to approximate solutions of the Schrödinger equation. The design of an AQC algorithm involves the construction of a Hamiltonian that describes the behavior of the quantum system. This Hamiltonian is expressed as a linear interpolation of an initial Hamiltonian whose ground state is easy to compute, and a final Hamiltonian whose ground state corresponds to the solution of a given combinatorial optimization problem. The adiabatic theorem asserts that if the time evolution of a quantum system described by a Hamiltonian is large enough, then the system remains close to its ground state. An AQC algorithm uses the adiabatic theorem to approximate the ground state of the final Hamiltonian that corresponds to the solution of the given optimization problem. In this book, we investigate the computational simulation of AQC algorithms applied to the MAX-SAT problem. A symbolic analysis of the AQC solution is given in order to understand the involved computational complexity of AQC algorithms. This approach can be extended to other combinatorial optimization problems and can be used for the classical simulation of an AQC algorithm where a Hamiltonian problem is constructed. This construction requires the computation of a sparse matrix of dimension 2? × 2?, by means of tensor products, where n is the dimension of the quantum system. Also, a general scheme to design AQC algorithms is proposed, based on a natural correspondence between optimization Boolean variables and quantum bits. Combinatorial graph problems are in correspondence with pseudo-Boolean maps that are reduced in polynomial time to quadratic maps. Finally, the relation among NP-hard problems is investigated, as well as its logical representability, and is applied to the design of AQC algorithms. It is shown that every monadic second-order logic (MSOL) expression has associated pseudo-Boolean maps that can be obtained by expanding the given expression, and also can be reduced to quadratic forms.
Автор: Catherine C. McGeoch Название: Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice ISBN: 1627055924 ISBN-13(EAN): 9781627055925 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 46200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. This monograph presents an introductory overview of this unusual and rapidly developing approach to computation. The discussion throughout is aimed at an audience of computer scientists with little background in quantum computation or in physics.
Автор: Catherine C. McGeoch Название: Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice ISBN: 1681732122 ISBN-13(EAN): 9781681732121 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 56370.00 T Наличие на складе: Невозможна поставка. Описание: Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. This monograph presents an introductory overview of this unusual and rapidly developing approach to computation. The discussion throughout is aimed at an audience of computer scientists with little background in quantum computation or in physics.
Автор: F.H. Busse; L. Kramer Название: Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems ISBN: 1468457950 ISBN-13(EAN): 9781468457957 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of a NATO ARW held in Streitberg near Bayreuth, Germany September 24-29, 1989
Автор: Ramon Vilaseca; Ramon Corbalan Название: Nonlinear Dynamics and Quantum Phenomena in Optical Systems ISBN: 3642763758 ISBN-13(EAN): 9783642763755 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: We aimed to provide an opportunity for scientists active in the broad field of quantum optics to meet in an informal atmosphere, thus promoting the ex- change of ideas and allowing a search for interconnections between seemingly unrelated topics and a cross fertilization of the different subfields of quantum optics.
Автор: Banerjee Subhashish Название: Open Quantum Systems: Dynamics of Nonclassical Evolution ISBN: 9811331812 ISBN-13(EAN): 9789811331817 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems.
Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.
Автор: Robert M. Conte; Antonio Maria Greco; Franco Magri Название: Direct and Inverse Methods in Nonlinear Evolution Equations ISBN: 3642057535 ISBN-13(EAN): 9783642057533 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations.
Автор: Giovanni Gallavotti; Paul F. Zweifel Название: Nonlinear Evolution and Chaotic Phenomena ISBN: 1461282942 ISBN-13(EAN): 9781461282945 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: These tutorials, organized by Gallavotti, involved various of the speakers, organizers, and other senior members of the school, and contributed in no little way to the overall success of the school.
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