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Macroscopic Limits Of Quantum Systems
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Book Synopsis Macroscopic Limits of Quantum Systems by : Daniela Cadamuro
Download or read book Macroscopic Limits of Quantum Systems written by Daniela Cadamuro and published by Springer. This book was released on 2018-10-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales. Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. Topics include superconductivity and mathematical aspects of the BCS theory, the Jellium model and Bose-Einstein condensation, among others. Presenting technical details in an accessible way, this book serves as an introduction to research for advanced graduate students and is suitable for specialists in mathematical physics. The workshop “Macroscopic Limits of Quantum Systems” was held over three days in the spring of 2017 at the Technical University of Munich. The conference celebrated the achievements of Herbert Spohn and his reception of the Max Planck Medal.
Book Synopsis From Micro to Macro Quantum Systems by : K. Kong Wan
Download or read book From Micro to Macro Quantum Systems written by K. Kong Wan and published by World Scientific. This book was released on 2006 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Classical Systems in Quantum Mechanics by : Pavel Bóna
Download or read book Classical Systems in Quantum Mechanics written by Pavel Bóna and published by Springer Nature. This book was released on 2020-06-23 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems" and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of an infinite number of degrees of freedom and to look for the behaviour of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".
Book Synopsis Quantum Mechanics and Its Emergent Macrophysics by : Geoffrey Sewell
Download or read book Quantum Mechanics and Its Emergent Macrophysics written by Geoffrey Sewell and published by Princeton University Press. This book was released on 2020-11-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.
Book Synopsis Quantum Theory without Reduction, by : Cini
Download or read book Quantum Theory without Reduction, written by Cini and published by Routledge. This book was released on 2017-10-19 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory offers a strange, and perhaps unique, case in the history of science. Although research into its roots has provided important results in recent years, the debate goes on. Some theorists argue that quantum theory is weakened by the inclusion of the so called "reduction of the state vector" in its foundations. Quantum Theory without Reduction presents arguments in favor of quantum theory as a consistent and complete theory without this reduction and as a theory capable of explaining all known features of the measurement problem. This collection of invited contributions defines and explores different aspects of this issue, bringing an old debate into a new perspective and leading to a more satisfying consensus about quantum theory. The book will be of interest to researchers in theoretical physics and mathematical physics involved in the foundations of quantum theory. Scientists, engineers, and philosophers interested in the conceptual problems of quantum theory will also find this work stimulating.
Book Synopsis Exploring the Quantum/classical Frontier by : Jonathan R. Friedman
Download or read book Exploring the Quantum/classical Frontier written by Jonathan R. Friedman and published by Nova Publishers. This book was released on 2003 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the Quantum/Classical Frontier - Recent Advances in Macroscopic Quantum Phenomena
Book Synopsis Quantum Theory: Informational Foundations and Foils by : Giulio Chiribella
Download or read book Quantum Theory: Informational Foundations and Foils written by Giulio Chiribella and published by Springer. This book was released on 2015-12-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information. Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations. Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.
Book Synopsis Einstein’s Struggles with Quantum Theory by : Dipankar Home
Download or read book Einstein’s Struggles with Quantum Theory written by Dipankar Home and published by Springer Science & Business Media. This book was released on 2007-11-13 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of all aspects of Einstein’s achievements in quantum theory, his own views, and the progress his work has stimulated since his death. While some chapters use mathematics at an undergraduate physics level, a path is provided for the reader more concerned with ideas than equations, and the book will benefit to anybody interested in Einstein and his approach to the quantum.
Book Synopsis Quantum Dissipative Systems by : Ulrich Weiss
Download or read book Quantum Dissipative Systems written by Ulrich Weiss and published by World Scientific. This book was released on 2008 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major advances in the quantum theory of macroscopic systems, in combination with stunning experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. Today, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book OCo originally published in 1990 and republished in 1999 as an enlarged second edition OCo delves much deeper than ever before into the fundamental concepts, methods, and applications of quantum dissipative systems, including the most recent developments. In this third edition, 26 chapters from the second edition contain additional material and several chapters are completely rewritten. It deals with the phenomena and theory of decoherence, relaxation, and dissipation in quantum mechanics that arise from the interaction with the environment. In so doing, a general path integral description of equilibrium thermodynamics and nonequilibrium dynamics is developed. Sample Chapter(s). Introduction (262 KB). Contents: General Theory of Open Quantum Systems; Few Sample Applications; Quantum Statistical Decay; The Dissipative Two-State System; The Dissipative Multi-State System. Readership: Advanced undergraduate and graduate students as well as researchers in quantum-statistical and condensed matter physics, quantum/classical mechanics, quantum information and computation, and quantum optics."
Book Synopsis Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations by : A.T. Skjeltorp
Download or read book Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations written by A.T. Skjeltorp and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mesoscopic systems display `adaptive' behaviour - changes in some physical property that results from a small change in an internal or external driving force. There is a kind of progression in adaptive phenomena, from quantum mesoscopics to complex, evolved cooperative systems and large scale events like turbulence. The field of mesoscopic magnetism, especially quantum coherence and quantum tunnelling in spin systems, and the coupling between mesoscopic magnetism and mesoscopic transport is currently a very active area of solid state physics. `Dephasing' is an important concept in mesoscopic systems like these. A basic question is the limit at which quantum mechanics breaks down and what it can be replaced with. Another interesting crossover is that between complexity and large excursions or events, with turbulence as a prototype example. The book also contains a discussion of finance. Qualitatively speaking, turbulence and financial markets are apparently similar, so our understanding of turbulence may be relevant to understanding price fluctuations.
Book Synopsis The Macroscopic Level of Quantum Mechanics by : C. George
Download or read book The Macroscopic Level of Quantum Mechanics written by C. George and published by . This book was released on 1972 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Coherent Quantum Physics by : Arnold Neumaier
Download or read book Coherent Quantum Physics written by Arnold Neumaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-21 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.
Book Synopsis The Continuum Limit of Causal Fermion Systems by : Felix Finster
Download or read book The Continuum Limit of Causal Fermion Systems written by Felix Finster and published by Springer. This book was released on 2016-08-19 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
Book Synopsis Quantum Field Theory and Its Macroscopic Manifestations by : Massimo Blasone
Download or read book Quantum Field Theory and Its Macroscopic Manifestations written by Massimo Blasone and published by World Scientific. This book was released on 2011-02-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature. Contents:The Structure of the Space of the Physical StatesInequivalent Representations of the Canonical Commutation RelationsSpontaneous Breakdown of Symmetry and the Goldstone TheoremDynamical Rearrangement of Symmetry and Macroscopic Manifestations of QFTThermal Field Theory and Trajectories in the Space of the RepresentationsSelected Topics in Thermal Field TheoryTopological Defects as Non-Homogeneous Condensates. ITopological Defects as Non-Homogeneous Condensates. IIDissipation and QuantizationElements of Soliton Theory and Related Concepts Readership: Researchers in mathematical physics, theoretical physics, high energy physics, condensed matter physics and solid state physics. Advanced undergraduate and graduate students in physics. Keywords:Quantum Field Theory;Symmetry Breaking;Boson Condensation;Ordered Patterns;Coherent States;Phase Transitions;Topological Defects;Solitons;Vortices;Monopoles;Gauge Theories;Group Contraction;q-Groups;Hopf Algebra;Quantum DissipationKey Features:One of the achievements of this book, which marks its difference from other similar texts, is that quantum field dynamics is recognized to be not confined to the microscopic world. The combined use of algebraic methods, operator and functional formalism constitutes another distinctive valuable feature of this bookA wide range of physical systems are discussed in a unitary, self-consistent physical and mathematical frameworkThe systems considered range from condensed matter to cosmology, from fractals, neutrino oscillations to brain modelingReviews:“Physicists believe quantum fields to be the true protagonists of Nature in the full variety of its wonderful, manifold manifestations: from the fascinating appearance of colorful disclinations in nematic liquid crystals, to the awing pattern of cosmic strings in the Universe; from the unexpected quantum features of macroscopic superfluids, to the surprising dynamics of solitons, to the mysterious process of generation of virtual particles when symmetry after symmetry is broken. Quantum field theory is the tool they created to fulfill their visionary dream of describing with a universal, unique language all of nature, be it single particles or condensed matter, fields or many-body objects, in a way that can be made consistent with the other hard and deep constraint they have to call to account: relativistic covariance. This is perhaps the first book on quantum field theory whose aim is to grasp and describe with rigor and completeness, but at the same time in a compelling, fascinating way, all the facets of the complex challenge it faces scientists with. It is a book that presents solutions but poses questions as well; hard, demanding yet fascinating; a book that can at the same time be used as a textbook and as a book of dreams that any scientist would like to make come true.”Mario Rasetti Politecnico di Torino, Italy “This remarkable book dispels the common misconception that quantum field theory is 'just quantum mechanics with an infinite number of degrees of freedom', revealing vast new mathematical terrains, and new ways of understanding physical phenomena in both commonplace and exotic systems. Uniquely valuable, and covering material difficult or impossible to find coherently assembled elsewhere, it will be welcomed by students and researchers in all fields of physics and mathematics.”John Swain Northeastern University, USA “The book by Massimo Blasone, Petr Jizba and Giuseppe Vitiello gives an overall presentation of the most important aspects of quantum field theory, leading to its macroscopic manifestations, as in the formation of ordered structures. The list of topics, all covered in full detail and easy-to-follow steps, is really impressive. It includes the general structure of quantum mechanics and quantum field theory, the role of the inequivalent representations of the commutation relations, the spontaneous breakdown of symmetry with the consequent phenomenon of dynamical rearrangement of symmetry, quantum field theory at nonzero temperature, boson condensation and topological defects, dissipative quantum systems. The main features of the presentation rely on very simple and powerful unifying principles, given by the intermixing of symmetry and dynamics, under the general texture of quantum coherence. Most of the chapters share the typical flavor of the very intense personal research carried by the authors during the years, but the style of presentation is always perfectly coherent, and all topics are presented in a mature and well-organized way. I think that the book will be most useful for graduate students who are willing to be engaged in the fascinating task of exploring the full potentiality of quantum field theory in explaining the emergence of ordering at the macroscopic level, from the large-scale structure of the universe, to the ordering of biological systems. Of course, active researchers in all formation stages, but even mature scientists, will appreciate the intellectual depth and the scientific efficacy that the authors have transfused in their work.”Francesco Guerra Sapienza University of Rome, Italy “This book gives a very thorough treatment of a range of topics that are of increasing importance, from a rather unusual, and very instructive, point of view.”Tom W Kibble Imperial College London, UK “This book succeeds in helping the reader to understand how the macroscopic properties are generated out of quantum dynamics in the QFT framework. The level is adequate for graduate students with a basic knowledge of QFT.”Mathematical Reviews
Book Synopsis Exploring Macroscopic Quantum Mechanics in Optomechanical Devices by : Haixing Miao
Download or read book Exploring Macroscopic Quantum Mechanics in Optomechanical Devices written by Haixing Miao and published by Springer Science & Business Media. This book was released on 2012-01-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers various approaches for surpassing the standard quantum limit for force measurements. It then proposes different experimental protocols for using optomechanical interactions to explore quantum behaviors of macroscopic mechanical objects.
Download or read book On Three Levels written by Mark Fannes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Quantum Field Theory by : Anthony G. Williams
Download or read book Introduction to Quantum Field Theory written by Anthony G. Williams and published by Cambridge University Press. This book was released on 2022-07-31 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a detailed and uniquely self-contained presentation of quantum and gauge field theories. Writing from a modern perspective, the author begins with a discussion of advanced dynamics and special relativity before guiding students steadily through the fundamental principles of relativistic quantum mechanics and classical field theory. This foundation is then used to develop the full theoretical framework of quantum and gauge field theories. The introductory, opening half of the book allows it to be used for a variety of courses, from advanced undergraduate to graduate level, and students lacking a formal background in more elementary topics will benefit greatly from this approach. Williams provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. Worked examples are included throughout the text and end-of-chapter problems help students to reinforce key concepts. A fully worked solutions manual is available online for instructors.
