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Reasoning in Quantum Theory

Reasoning in Quantum Theory Author Maria Luisa Dalla Chiara
ISBN-10 9789401705264
Release 2013-03-09
Pages 298
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"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.

Picturing Quantum Processes

Picturing Quantum Processes Author Bob Coecke
ISBN-10 9781108107716
Release 2017-03-31
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The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.

Consistent Quantum Theory

Consistent Quantum Theory Author Robert B. Griffiths
ISBN-10 0521539293
Release 2003-11-13
Pages 408
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A clear and accessible presentation of quantum theory, suitable for researchers yet accessible to graduates.

Quantum Theory

Quantum Theory Author David Bohm
ISBN-10 9780486134888
Release 2012-04-25
Pages 672
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This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.

Reasoning About Luck

Reasoning About Luck Author Vinay Ambegaokar
ISBN-10 9780486818795
Release 2017-01-04
Pages 256
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Only basic algebra is needed for this introduction to the uses of probability and statistics in the physical sciences. "An outstanding and ambitious textbook for nonscience majors." — American Journal of Physics. 1996 edition.

Relativistic Quantum Mechanics

Relativistic Quantum Mechanics Author Armin Wachter
ISBN-10 9048136458
Release 2010-09-29
Pages 372
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* Which problems do arise within relativistic enhancements of the Schrödinger theory, especially if one adheres to the usual one-particle interpretation? * To what extent can these problems be overcome? * What is the physical necessity of quantum field theories? In many textbooks, only insufficient answers to these fundamental questions are provided by treating the relativistic quantum mechanical one-particle concept very superficially and instead introducing field quantization as soon as possible. By contrast, this book emphasizes particularly this point of view (relativistic quantum mechanics in the ''narrow sense''): it extensively discusses the relativistic one-particle view and reveals its problems and limitations, therefore illustrating the necessity of quantized fields in a physically comprehensible way. The first two chapters contain a detailed presentation and comparison of the Klein-Gordon and Dirac theory, always with a view to the non-relativistic theory. In the third chapter, we consider relativistic scattering processes and develop the Feynman rules from propagator techniques. This is where the indispensability of quantum field theory reasoning becomes apparent and basic quantum field theory concepts are introduced. This textbook addresses undergraduate and graduate Physics students who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in the "narrow sense" and its connection to quantum field theories. Each section contains a short summary and exercises with solutions. A mathematical appendix rounds out this excellent textbook on relativistic quantum mechanics.

Contextuality from Quantum Physics to Psychology

Contextuality from Quantum Physics to Psychology Author Ehtibar Dzhafarov
ISBN-10 9789814730624
Release 2015-11-30
Pages 480
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The book explores the variety of meanings of contextuality across different disciplines, with the emphasis on quantum physics and on psychology. Contents:Conversations on Contextuality (Ehtibar N Dzhafarov & Janne V Kujala)Contextual Semantics (Samson Abransky)From Coupling to Copula (Hans Colonius)Einstein, Bohm, and Leggett-Garg (Guido Bacciagaluppi)It is the Theory Which Decides What We Can Observe (Thomas Filk)Reality, Contextuality, and Probability in Quantum Theory and Beyond (Arkady Plotnitsky)Contextual Emergence (Harald Atmanspacher)Contextuality in Physics and Quantum Cognition (J Acacio de Barros & Gary Oas)End-Directedness and Context in Nonliving Dissipative Systems (James A Dixon, Dilip Kondepudi, Bruce A Kay & Tehran J Davis)Foregrounding the Background (J Scott Jordan, Jiuyang Bai, Vincent Cialdella & Daniel Schloesser)Symmetry-Breaking in Multiagent Coordination (Michael J Richardson & Rachel W Kallen)Probabilistic Contextuality (Janne V Kujala & Ehtibar N Dzhafarov)Quantum Thinking and Counterfactual Reasoning (Louis Narens)Quantum Theory, Active Information and the Mind-Matter Problem (Paavo Pylkkänen)Principles Defining Quantum Mechanics (Gary Oas & J Acacio de Barros)Our (Represented) World: A Quantum-Like Object (Ariane Lambert-Mogiliansky & Francois Dubois)Why Would You Want to Borrow from My Discipline? (Emmanuel Haven)Quantum Information Biology (Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato)Similarity Judgments: From Classical to Complex Vector Psychological Spaces (Albert Barque Duran, Emmanuel M Pothos, James M Yearsley, James A Hampton, Jerome R Busemeyer & Jennifer S Trueblood)A Quantum Bayes Net Approach to Causal Reasoning (Jennifer S Trueblood, Percy K Mistry & Emmanuel M Pothos) Readership: Researchers in quantum physics, mathematical modelling and cognitive science. Key Features:It is historically the first book dedicated entirely to contextualityIt is interdisciplinary, involving quantum physicists, computer scientists, mathematicians, analytic philosophers, economists, and psychologistsIts chapters are written by leading specialists in these various fieldsKeywords:Contextuality;Quantum Physics;Psychology

What Is Real

What Is Real Author Adam Becker
ISBN-10 9780465096060
Release 2018-03-20
Pages 384
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The untold story of the heretical thinkers who dared to question the nature of our quantum universe Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments. As a result, questioning the status quo long meant professional ruin. And yet, from the 1920s to today, physicists like John Bell, David Bohm, and Hugh Everett persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and the courageous scientists who dared to stand up for truth.

Quantum Theory from First Principles

Quantum Theory from First Principles Author Giacomo Mauro D'Ariano
ISBN-10 9781107043428
Release 2017-02-09
Pages 400
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Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. The book is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theory.

Quantum Physics and Linguistics

Quantum Physics and Linguistics Author Chris Heunen
ISBN-10 9780191650314
Release 2013-02-21
Pages 432
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New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world. Over the past decade, theoretical physics and quantum information theory have turned to category theory to model and reason about quantum protocols. This new use of categorical and algebraic tools allows a more conceptual and insightful expression of elementary events such as measurements, teleportation and entanglement operations, that were obscured in previous formalisms. Recent work in natural language semantics has begun to use these categorical methods to relate grammatical analysis and semantic representations in a unified framework for analysing language meaning, and learning meaning from a corpus. A growing body of literature on the use of categorical methods in quantum information theory and computational linguistics shows both the need and opportunity for new research on the relation between these categorical methods and the abstract notion of information flow. This book supplies an overview of how categorical methods are used to model information flow in both physics and linguistics. It serves as an introduction to this interdisciplinary research, and provides a basis for future research and collaboration between the different communities interested in applying category theoretic methods to their domain's open problems.

Theoretical Concepts in Physics

Theoretical Concepts in Physics Author Malcolm S. Longair
ISBN-10 9781107717589
Release 2003-12-04
Pages 588
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A highly original, and truly novel, approach to theoretical reasoning in physics. This book illuminates the subject from the perspective of real physics as practised by research scientists. It is intended to be a supplement to the final years of an undergraduate course in physics and assumes that the reader has some grasp of university physics. By means of a series of seven case studies, the author conveys the excitement of research and discovery, highlighting the intellectual struggles to attain understanding of some of the most difficult concepts in physics. Case studies include the origins of Newton's law of gravitation, Maxwell's equations, mechanics and dynamics, linear and non-linear, thermodynamics and statistical physics, the origins of the concepts of quanta, special relativity, general relativity and cosmology. The approach is the same as that in the highly acclaimed first edition, but the text has been completely revised and many new topics introduced.

Quantum Gravity

Quantum Gravity Author Claus Birkholz
ISBN-10 9783743848412
Release 2018-01-02
Pages 94
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The reproducibility of facts is the hallmark of a natural science, the impossibility of counting up to infinity that of a measuring process, and the "law of great numbers" that of statistics. A statement like "Nothing will come from nothing, and nothing gets lost" will yield conservation laws. Bell's own interpretation of his no-go theorems, then, will directly give Quantum Gravity, and its iteration the unification of all types of forces of nature ("New Physics"). The present paper will outline the reasoning of Quantum Gravity and of New Physics rather than their technical details - as far as all that allows for separating those issues from each other. Thermodynamic principles are imposing 2 alternative channels to us: A closed system will yield the reaction channel conserving probabilty, and an open system the dynamic channel. Causality will mark the open channel, entanglement the reaction channel. Parities are the key to understanding a black hole free of singularities. Space, time, and mass can be counted from the non-valence parts of a particle as occurrence rates of special double-quant properties; Higgs is dispensable. The spectrum of stable particles derives from the representation of our static multiverse. Its building universes give us the illusion of motion (like by a flip book). Lagrange's formalism and its canonical quantization prove as classical dead locks of obsolete centuries. The multitude of positive results - like the fine-structure constant calculated correctly, e.g. - speak in favour of New Physics, the total absence of "broken" quantum numbers in favour of a deeper "understanding" of nature.

Semantic Techniques in Quantum Computation

Semantic Techniques in Quantum Computation Author Simon Gay
ISBN-10 9780521513746
Release 2010
Pages 478
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Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.

Quantum Theory and the Flight from Realism

Quantum Theory and the Flight from Realism Author Christopher Norris
ISBN-10 9781134595242
Release 2002-11-01
Pages 280
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This book is a critical introduction to the long-standing debate concerning the conceptual foundations of quantum mechanics and the problems it has posed for physicists and philosophers from Einstein to the present. Quantum theory has been a major infulence on postmodernism, and presents significant problems for realists. Keeping his own realist position in check, Christopher Norris subjects a wide range of key opponents and supporters of realism to a high and equal level of scrutiny. With a characteristic combination of rigour and intellectual generosity, he draws out the merits and weaknesses from opposing arguments. In a sequence of closely argued chapters, Norris examines the premises of orthodox quantum theory, as developed most influentially by Bohr and Heisenberg, and its impact on varous philosophical developments. These include the ideas developed by W.V Quine, Thomas Kuhn, Michael Dummett, Bas van Fraassen, and Hilary Puttnam. In each case, Norris argues, these thinkers have been influenced by the orthodox construal of quantum mechanics as requiring drastic revision of principles which had hitherto defined the very nature of scientific method, causal explanati and rational enquiry. Putting the case for a realist approach which adheres to well-tried scientific principles of causal reasoning and inference to the best explanation, Christopher Norris clarifies these debates to a non-specialist readership and scholars of philosophy, science studies and the philosophy of science alike. Quantum Theory and the Flight From Realism suggests that philosophical reflection can contribute to a better understanding of these crucial, current issues.

Quantum Physics

Quantum Physics Author Michael G. Raymer
ISBN-10 9780190250744
Release 2017-06-05
Pages 224
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Around 1900, physicists started to discover particles like electrons, protons, and neutrons, and with these discoveries believed they could predict the internal behavior of the atom. However, once their predictions were compared to the results of experiments in the real world, it became clear that the principles of classical physics and mechanics were far from capable of explaining phenomena on the atomic scale. With this realization came the advent of quantum physics, one of the most important intellectual movements in human history. Today, quantum physics is everywhere: it explains how our computers work, how lasers transmit information across the Internet, and allows scientists to predict accurately the behavior of nearly every particle in nature. Its application continues to be fundamental in the investigation of the most expansive questions related to our world and the universe. However, while the field and principles of quantum physics are known to have nearly limitless applications, the fundamental reasons why this is the case are far less understood. In Quantum Physics: What Everyone Needs to Know, quantum physicist Michael G. Raymer distills the basic principles of such an abstract field, and addresses the many ways quantum physics is a key factor in today's science and beyond. The book tackles questions as broad as the meaning of quantum entanglement and as specific and timely as why governments worldwide are spending billions of dollars developing quantum technology research. Raymer's list of topics is diverse, and showcases the sheer range of questions and ideas in which quantum physics is involved. From applications like data encryption and quantum computing to principles and concepts like "quantum nonlocality" and Heisenberg's uncertainty principle, Quantum Physics: What Everyone Needs to Know is a wide-reaching introduction to a nearly ubiquitous scientific topic.

Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures Author Kurt Engesser
ISBN-10 0080931669
Release 2009-06-16
Pages 726
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Quantum mechanics is said to be the most successful physical theory ever. It is, in fact, unique in its success when applied to concrete physical problems. On the other hand, however, it raises profound conceptual problems that are equally unprecedented. Quantum logic, the topic of this volume, can be described as an attempt to cast light on the puzzle of quantum mechanics from the point of view of logic. Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled, “The logic of quantum mechanics, quantum logic has undergone an enormous development. Various schools of thought and approaches have emerged, and there are a variety of technical results. The chapters of this volume constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic. • Authored by eminent scholars in the field • Material presented is of recent origin representing the frontier of the subject. • Provides the most comprehensive and varied discussion of Quantum Mechanics available.

Quantum Theory and the Schism in Physics

Quantum Theory and the Schism in Physics Author Karl Popper
ISBN-10 9781135859510
Release 2013-04-15
Pages 256
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Quantum Theory and the Schism in Physics is one of the three volumes of Karl Popper’s Postscript to the Logic of scientific Discovery. The Postscript is the culmination of Popper’s work in the philosophy of physics and a new famous attack on subjectivist approaches to philosophy of science. Quantum Theory and the Schism in Physics is the third volume of the Postscript. It may be read independently, but it also forms part of Popper’s interconnected argument in the Postscript. It presents Popper’s classic statement on quantum physics and offers important insights into his thinking on problems of method within science and physics as a whole.