Fractals Quasicrystals Chaos Knots And Algebraic Quantum Mechanics
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Fractals Quasicrystals Chaos Knots And Algebraic Quantum Mechanics
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Author : Anton Amann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fractals Quasicrystals Chaos Knots And Algebraic Quantum Mechanics written by Anton Amann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
At the end of the workshop on "New Theoretical Concepts in Physical Chemistry", one of the participants made an attempt to present a first impression of its achievements from his own personal standpoint. Appar ently his views reflected a general feeling, so that the organizers thought they would be suitable as a presentation of the proceedings for future readers. That is the background from which this foreword was born. The scope of the workshop is a very broad one. There are contribu tions from mathematics, physics, crystallography, chemistry and biology; the problems are approached either by means of axiomatic and rigorous methods, or at an empirical phenomenological level. This same diversifi cation can be found in the new basic concepts presented. Some arise from pure theoretical investigation in C*-algebra or in quantum probability theory; others from an analysis of very complex experimental data like nuclear energy levels, or processes on the frontier between classical and quantum physics; others again have their origin in the discovery of new ordered structures like the icosahedral crystal phases, or the knots of DNA molecules; others follow from the application of ideas like frac tals or chaos to new fields like spectral theory or chemical reactions. It is to be expected that readers will have to face the same sort of difficulties as did the participants in understanding such diverse languages, in applying themselves to subjects possibly far from their own experience, and in grasping highly sophisticated new concepts.
A Survey Of Knot Theory
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Author : Akio Kawauchi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
A Survey Of Knot Theory written by Akio Kawauchi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples.
Large Scale Molecular Systems
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Author : Werner Gans
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Large Scale Molecular Systems written by Werner Gans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Science categories.
This NATO Advanced Study Institute centered on large-scale molecular systems: Quantum mechanics, although providing a general framework for the description of matter, is not easily applicable to many concrete systems of interest; classical statistical methods, on the other hand, allow only a partial picture of the behaviour of large systems. The aim of the ASI was to present both aspects of the subject matter and to foster interaction between the scientists working in these important areas of theoretical physics and theoretical chemistry. The quantum-mechanical part was mostly based on the operator-algebraic formulation of quantum mechanics and comprised quantum statistics of infinite systems with special em phasis on macroscopic observables, equilibrium conditions, irreversibility on the one hand, symmetry breaking for molecules in the radiation field and macroscopic quantum phenomena in the theory of superconductivity (BCS-theory) on the other hand. In addition, phase-space methods for many-body systems were also presented. Statistical physics was the main topic in the other lectures of the School; much emphasis was put on the statistical features of macros copic ("large") systems, the lectures dealt with mass and energy transport im polymers, in gels and in microemulsions, with aggregation and growth phenomena, with relaxation in complex, correlated systems, with conduction and optical properties of polymers, and with the means of describing disordered systems, above all fractals and related hierarchical models.
The Interpretation Of Quantum Mechanics And The Measurement Process
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Author : Peter Mittelstaedt
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25
The Interpretation Of Quantum Mechanics And The Measurement Process written by Peter Mittelstaedt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-25 with Science categories.
Monograph on the philosophy of quantum mechanics.
Algebraic Theory Of Superselection Sectors The Introduction And Recent Results Proceedings Of The Covegno Internazionale Algebraic Theory Of Superselection Sectors And Field Theory
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Author : Daniel Kastler
language : en
Publisher: World Scientific
Release Date : 1990-06-30
Algebraic Theory Of Superselection Sectors The Introduction And Recent Results Proceedings Of The Covegno Internazionale Algebraic Theory Of Superselection Sectors And Field Theory written by Daniel Kastler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-30 with categories.
Contents:Lectures on Algebraic Quantum Field Theory (J Roberts)Introduction to the Algebraic Theory of Superselection Sectors (D Kastler, M Mebkhout & K H Rehren)Localisability of Particle States (K Fredenhagen)Local Observables and the Structure of Quantum Field Theory (S Doplicher)Braid Group Statistics and Their Superselection Rules (K H Rehren)Principles of General Quantum Field Theory Versus New Intuition from Model Studies. An Essay on the Work of J A Swieca (B Schroer)Endomorphisms and Quantum Symmetry of the Conformal Ising Model (G Mack & V Schomerus)Superselection Sectors in Quantum Field Model: Kinks in Φ24 and Charged States in Lattice Q.E.D. (J Fröelich & P A Marchetti)Braid Statistics in 3-Dimensional Local Quantum Theory (J Fröelich, & F Gabbiani)Index Theory of Subfactors and Braid Group statistics (R Longo)Technical Properties of the Quasi-local Algebra (C D'Antoni)Localized Automorphisms of the U(1)-Current Algebra on the Circle. A Simple Example (D Buchholz, G Mack & I Todorov) Readership: High energy physicists, solid state physicists, mathematical physicists and mathematicians.
Interpreting Quantum Theories
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Author : Laura Ruetsche
language : en
Publisher: Oxford University Press
Release Date : 2011-06-02
Interpreting Quantum Theories written by Laura Ruetsche and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.
Philosophers of quantum mechanics have generally addressed exceedingly simple systems. Laura Ruetsche offers a much-needed study of the interpretation of more complicated systems, and an underexplored family of physical theories, such as quantum field theory and quantum statistical mechanics, showing why they repay philosophical attention.
Fractals In The Natural Sciences
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Author : M. Fleischmann
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Fractals In The Natural Sciences written by M. Fleischmann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.
In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of interest to all physical and biological scientists studying these phenomena. It is based on a Royal Society discussion meeting held in 1988. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Decoherence And The Appearance Of A Classical World In Quantum Theory
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Author : Erich Joos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Decoherence And The Appearance Of A Classical World In Quantum Theory written by Erich Joos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
When we were preparing the first edition of this book, the concept of de coherence was known only to a minority of physicists. In the meantime, a wealth of contributions has appeared in the literature - important ones as well as serious misunderstandings. The phenomenon itself is now experimen tally clearly established and theoretically well understood in principle. New fields of application, discussed in the revised book, are chaos theory, informa tion theory, quantum computers, neuroscience, primordial cosmology, some aspects of black holes and strings, and others. While the first edition arose from regular discussions between the authors, thus leading to a clear" entanglement" of their otherwise quite different chap ters, the latter have thereafter evolved more or less independently. While this may broaden the book's scope as far as applications and methods are con cerned, it may also appear confusing to the reader wherever basic assumptions and intentions differ (as they do). For this reason we have rearranged the or der of the authors: they now appear in the same order as the chapters, such that those most closely related to the "early" and most ambitious concept of decoherence are listed first. The first three authors (Joos, Zeh, Kiefer) agree with one another that decoherence (in contradistinction to the Copen hagen interpretation) allows one to eliminate primary classical concepts, thus neither relying on an axiomatic concept of observables nor on a probability interpretation of the wave function in terms of classical concepts.
From Micro To Macro Quantum Systems
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Author : K. Kong Wan
language : en
Publisher: World Scientific
Release Date : 2006
From Micro To Macro Quantum Systems written by K. Kong Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
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.
Introduction To The Mathematics Of Quasicrystals
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Author : Marko V. Jaric
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Introduction To The Mathematics Of Quasicrystals written by Marko V. Jaric and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Introduction to the Mathematics of Quasicrystals provides a pedagogical introduction to mathematical concepts and results necessary for a quantitative description or analysis of quasicrystals. This book is organized into five chapters that cover the three mathematical areas most relevant to quasicrystals, namely, the theory of almost periodic functions, the theory of aperiodic tilings, and group theory. Chapter 1 describes the aspects of the theory of tiling in two- and three-dimensional space that are important for understanding some of the ways in which "classical mathematical crystallography is being generalized; this process is to include possible models for aperiodic crystals. Chapter 2 examines the non-local nature of assembly "mistakes that might have significance to the quasicrystals growth. This chapter also describes how closely a physical quasicrystal might be able to approximate a three-dimensional version of tilings. Chapter 3 discusses the theoretical background and concepts of group theory of icosahedral quasicrystals. Chapter 4 presents the local properties of the three-dimensional Penrose tilings and their global construction is described through the projection method. This chapter emphasizes the relationship between quasiperiodic sets of points and quasiperiodic tiling. Chapter 5 explores the analysis of defects in quasicrystals and their kinetics, as well as some properties of the perfect system. This book is of great value to physicists, crystallographers, metallurgists, and beginners in the field of quasicrystals.