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Author: K. Kong Wan
Publisher: World Scientific
ISBN: 1860946259
Category : Science
Languages : en
Pages : 712
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Book Description
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations.This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrdinger's cat states in superconducting systems, and a path space formulation of quantum mechanics.This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators.
Author: K. Kong Wan
Publisher: World Scientific
ISBN: 1860946259
Category : Science
Languages : en
Pages : 712
Get Book
Book Description
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations.This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrdinger's cat states in superconducting systems, and a path space formulation of quantum mechanics.This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators.
Author: Vlatko Vedral
Publisher: World Scientific
ISBN: 9813229535
Category : Science
Languages : en
Pages : 192
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Book Description
This is a popular science book exploring the limits of scientific explanation. In particular, it debates if all sciences will ultimately be reducible to physics. The journey starts with physics itself, where there is a gap between the micro (quantum) and the macro (classical) and moves into chemistry, biology and the social sciences. Written by a practising scientist, this volume offers a personal perspective on various topics and incorporates the latest research.
Author: Bernardo A. Huberman
Publisher: World Scientific
ISBN: 9789810209827
Category : Computers
Languages : en
Pages : 182
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Book Description
The laws and methodology of physics are starting to provide powerful insights into the nature and dynamics of computation. This book contains a number of articles that illustrate how fields ranging from quantum mechanics to statistical physics and nonlinear dynamics can help elucidate the nature of computation.
Author: K. Kong Wan
Publisher: CRC Press
ISBN: 1000022102
Category : Science
Languages : en
Pages : 242
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Book Description
This is a companion volume to K. Kong Wan’s textbook Quantum Mechanics: A Fundamental Approach, published in 2019 by Jenny Stanford Publishing. The book contains more than 240 exercises and problems listed at the end of most chapters. This essential manual presents full solutions to all the exercises and problems that are designed to help the reader master the material in the textbook. Mastery of the material in the book would contribute greatly to the understanding of the concepts and formalism of quantum mechanics.
Author: Mark Fannes
Publisher: Springer Science & Business Media
ISBN: 1461524601
Category : Science
Languages : en
Pages : 467
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Book Description
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Author: André F. Verbeure
Publisher: Springer
ISBN: 0857291092
Category : Mathematics
Languages : en
Pages : 190
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Book Description
This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.
Author: Hans Liljenstrm
Publisher: World Scientific
ISBN: 9812701400
Category : Science
Languages : en
Pages : 376
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Book Description
In the domain of science concerned with systems structure and behavior, the issue of the relationship between the micro and the macro level is of key importance. This book concentrates on the interplay between these levels and has a special focus on the level OC in betweenOCO OCo the meso level. An investigation of those links is made through a number of cases from different domains of science, including physics, chemistry, ecology, social science, economics and technology. What is evident is that there are facets regarding meso-level issues that are similar between cases, but also that the domains differ in various ways. This is particularly exemplified by the differences in perspectives from which the natural and social sciences deal with scaling issues. The various examples provided in this book mirror its overriding theme: systems complexity."
Author: Christos H. Skiadas
Publisher: Springer Nature
ISBN: 3030707954
Category : Mathematics
Languages : en
Pages : 1080
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Book Description
Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Author: Reinhold Blumel
Publisher: Jones & Bartlett Learning
ISBN: 0763776289
Category : Medical
Languages : en
Pages : 344
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Book Description
Quantum computers are the proposed centerpieces of a revolutionary, 21st-century quantum information technology. This book takes the reader into the world of quantum mechanics and continues on an in-depth study of quantum information and quantum computing, including the future of quantum technology. This text focuses on what is "quantum" about quantum mechanics; topics discussed include the EPR paradox, entanglement, teleportation, Bell's Theorem, quantum computing, and code-breaking with quantum computers.--Back cover.
Author: Christopher G. Timpson
Publisher: Oxford University Press
ISBN: 0199296464
Category : Philosophy
Languages : en
Pages : 308
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Book Description
Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
