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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 Here
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: Stephen J. Gustafson
Publisher: Springer Science & Business Media
ISBN: 3642218660
Category : Mathematics
Languages : en
Pages : 380
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Book Description
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.
Author: Vlatko Vedral
Publisher: World Scientific
ISBN: 9813229535
Category : Science
Languages : en
Pages : 193
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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: Walter Ashley Harrison
Publisher: World Scientific
ISBN: 9789810243753
Category : Science
Languages : en
Pages : 376
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Book Description
Quantum mechanics is widely recognized as the basic law which governs all of nature, including all materials and devices. It has always been essential to the understanding of material properties, and as devices become smaller it is also essential for studying their behavior. Nevertheless, only a small fraction of graduate engineers and materials scientists take a course giving a systematic presentation of the subject. The courses for physics students tend to focus on the fundamentals and formal background, rather than on application, and do not fill the need. This invaluable text has been designed to fill the very apparent gap.The book covers those parts of quantum theory which may be necessary for a modern engineer. It focuses on the approximations and concepts which allow estimates of the entire range of properties of nuclei, atoms, molecules, and solids, as well as the behavior of lasers and other quantum-optic devices. It may well prove useful also to graduate students in physics, whose courses on quantum theory tend not to include any of these applications. The material has been the basis of a course taught to graduate engineering students for the past four years at Stanford University.Topics Discussed: Foundations; Simple Systems; Hamiltonian Mechanics; Atoms and Nuclei; Molecules; Crystals; Transitions; Tunneling; Transition Rates; Statistical Mechanics; Transport; Noise; Energy Bands; Electron Dynamics in Solids; Vibrations in Solids; Creation and Annihilation Operators; Phonons; Photons and Lasers; Coherent States; Coulomb Effects; Cooperative Phenomena; Magnetism; Shake-off Excitations; Exercise Problems.
Author: Anton Z. Capri
Publisher: World Scientific
ISBN: 9789810246501
Category : Science
Languages : en
Pages : 514
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Book Description
This invaluable book consists of problems in nonrelativistic quantum mechanics together with their solutions. Most of the problems have been tested in class. The degree of difficulty varies from very simple to research-level. The problems illustrate certain aspects of quantum mechanics and enable the students to learn new concepts, as well as providing practice in problem solving.The book may be used as an adjunct to any of the numerous books on quantum mechanics and should provide students with a means of testing themselves on problems of varying degrees of difficulty. It will be useful to students in an introductory course if they attempt the simpler problems. The more difficult problems should prove challenging to graduate students and may enable them to enjoy problems at the forefront of quantum mechanics.
Author: James Binney
Publisher: Oxford University Press, USA
ISBN: 0199688575
Category : Science
Languages : en
Pages : 408
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Book Description
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Author: Derek Abbott
Publisher: World Scientific
ISBN: 1848162677
Category : Science
Languages : en
Pages : 469
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Book Description
A quantum origin of life? -- Quantum mechanics and emergence -- Quantum coherence and the search for the first replicator -- Ultrafast quantum dynamics in photosynthesis -- Modelling quantum decoherence in biomolecules -- Molecular evolution -- Memory depends on the cytoskeleton, but is it quantum? -- Quantum metabolism and allometric scaling relations in biology -- Spectroscopy of the genetic code -- Towards understanding the origin of genetic languages -- Can arbitrary quantum systems undergo self-replication? -- A semi-quantum version of the game of life -- Evolutionary stability in quantum games -- Quantum transmemetic intelligence -- Dreams versus reality : plenary debate session on quantum computing -- Plenary debate: quantum effects in biology : trivial or not? -- Nontrivial quantum effects in biology : a skeptical physicists' view -- That's life! : the geometry of p electron clouds.
Author: D. Y. Tzou
Publisher: John Wiley & Sons
ISBN: 1118818261
Category : Technology & Engineering
Languages : en
Pages : 576
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Book Description
Physical processes taking place in micro/nanoscale strongly depend on the material types and can be very complicated. Known approaches include kinetic theory and quantum mechanics, non-equilibrium and irreversible thermodynamics, molecular dynamics, and/or fractal theory and fraction model. Due to innately different physical bases employed, different approaches may involve different physical properties in describing micro/nanoscale heat transport. In addition, the parameters involved in different approaches, may not be mutually inclusive. Macro- to Microscale Heat Transfer: The Lagging Behavior, Second Edition continues the well-received concept of thermal lagging through the revolutionary approach that focuses on the finite times required to complete the various physical processes in micro/nanoscale. Different physical processes in heat/mass transport imply different delay times, which are common regardless of the material type. The delay times, termed phase lags, are characteristics of materials. Therefore the dual-phase-lag model developed is able to describe eleven heat transfer models from macro to nanoscale in the same framework of thermal lagging. Recent extensions included are the lagging behavior in mass transport, as well as the nonlocal behavior in space, bearing the same merit of thermal lagging in time, in shrinking the ultrafast response down to the nanoscale. Key features: Takes a unified approach describing heat and mass transport from macro, micro to nanoscale Compares experimental results for model validation Includes easy to follow mathematical formulation Accompanied by a website hosting supporting material Macro- to Microscale Heat Transfer: The Lagging Behavior, Second Edition is a comprehensive reference for researchers and practitioners, and graduate students in mechanical, aerospace, biological and chemical engineering.
Author: George Greenstein
Publisher: Jones & Bartlett Learning
ISBN: 9780763724702
Category : Science
Languages : en
Pages : 328
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Book Description
The Quantum Challenge, Second Edition, is an engaging and thorough treatment of the extraordinary phenomena of quantum mechanics and of the enormous challenge they present to our conception of the physical world. Traditionally, the thrill of grappling with such issues is reserved for practicing scientists, while physical science, mathematics, and engineering students are often isolated from these inspiring questions. This book was written to remove this isolation.
Author: Andreas Huttemann
Publisher: Routledge
ISBN: 1134336241
Category : Philosophy
Languages : en
Pages : 271
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Book Description
'Microphysicalism', the view that whole objects behave the way they do in virtue of the behaviour of their constituent parts, is an influential contemporary view with a long philosophical and scientific heritage. In What's Wrong With Microphysicalism? Andreas Hüttemann offers a fresh challenge to this view. Hüttemann agrees with the microphysicalists that we can explain compound systems by explaining their parts, but claims that this does not entail a fundamentalism that gives hegemony to the micro-level. At most, it shows that there is a relationship of determination between parts and wholes, but there is no justification for taking this relationship to be asymmetrical rather than one of mutual dependence. Hüttemann argues that if this is the case, then microphysicalists have no right to claim that the micro-level is the ultimate agent: neither the parts nor the whole have 'ontological priority'. Hüttemann advocates a pragmatic pluralism, allowing for different ways to describe nature. What's Wrong With Microphysicalism? is a convincing and original contribution to central issues in contemporary philosophy of mind, philosophy of science and metaphysics.
