Reasoning In Quantum Theory

Author : Maria Luisa Dalla Chiara,Roberto Giuntini,Richard Greechie
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 42,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401705264

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Reasoning in Quantum Theory by Maria Luisa Dalla Chiara,Roberto Giuntini,Richard Greechie Pdf

"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.

Author : Bob Coecke,Aleks Kissinger
Publisher : Cambridge University Press
Page : 847 pages
File Size : 54,8 Mb
Release : 2017-03-16
Category : Computers
ISBN : 9781107104228

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Picturing Quantum Processes by Bob Coecke,Aleks Kissinger Pdf

Quantum phenomena are explained through the language of diagrams, setting out an innovative visual method of presenting complex scientific theories. Focusing on physical intuition over mathematical formalism, and packed with exercises, this unique book is accessible to students and researchers across scientific disciplines, from undergraduate to Ph.D. level.

Author : Richard Yegian
Publisher : Richard Yegian via PublishDrive
Page : 80 pages
File Size : 51,8 Mb
Release : 2019-01-01
Category : Science
ISBN : PKEY:6610000138050

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Quantum Philosophy by Richard Yegian Pdf

No complicated math in this book! Lots of critical thinking with a new wrinkle. The author analyzes WHY physicists like Albert Einstein and Stephen Hawking explain the universe using quantum theory. What is quantum theory? How do we perceive? How is causality flawed? How is reverse time possible? How does language processing happen? How do we understand? How does pattern recognition play a role in perception? What is reality? How does the arrow theory of time make assumptions that time flows in only one direction? How does reverse time travel happen in multidimensional spacetime? The latest explanations come from quantum physics. What is quantum physics? How did quantum physics evolve? How does quantum thinking affect our thoughts? The author bridges the disparity between quantum physics and religion by discussing snippets of logical reasoning offering insight into how both pursuits may coexist. There is no consensus on the origin of life nor the goal of life. How has quantum physics displaced but not replaced religion? What will be the role of religion in the future? The author approaches the elusive issues in a piecemeal way using anecdotes from his own experiences and everyday life. In this quick read, he offers insight into the joys of reasoning.

Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Page : 726 pages
File Size : 55,5 Mb
Release : 2009-06-16
Category : Mathematics
ISBN : 0080931669

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Handbook of Quantum Logic and Quantum Structures by Kurt Engesser,Dov M. Gabbay,Daniel Lehmann Pdf

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.

Author : Robert B. Griffiths
Publisher : Cambridge University Press
Page : 412 pages
File Size : 40,9 Mb
Release : 2003-11-13
Category : Science
ISBN : 0521539293

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Consistent Quantum Theory by Robert B. Griffiths Pdf

A clear and accessible presentation of quantum theory, suitable for researchers yet accessible to graduates.

Author : Horst Beyer
Publisher : Springer Nature
Page : 84 pages
File Size : 48,7 Mb
Release : 2022-11-29
Category : Science
ISBN : 9783031171772

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The Reasoning of Quantum Mechanics by Horst Beyer Pdf

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. In quantum field theory or general relativity, mathematics and physics are inextricably interwoven. As such, the book is mathematically rigorous. The author focuses on the properties of the quantum system that can be observed and measured and interprets the resulting theory. The methods of operator theory are discussed throughout in the formulation of the theory as well as in the calculation of the consequences of the theory. The book addresses the mathematical support of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in Hilbert spaces. Considerable focus is placed on the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell’s inequality.

Author : David Bohm
Publisher : Courier Corporation
Page : 672 pages
File Size : 53,8 Mb
Release : 2012-04-25
Category : Science
ISBN : 9780486134888

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Quantum Theory by David Bohm Pdf

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.

Author : Giulio Chiribella,Robert W. Spekkens
Publisher : Springer
Page : 528 pages
File Size : 55,9 Mb
Release : 2015-12-08
Category : Science
ISBN : 9789401773034

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Quantum Theory: Informational Foundations and Foils by Giulio Chiribella,Robert W. Spekkens Pdf

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.

Author : David Bohm
Publisher : Unknown
Page : 646 pages
File Size : 54,7 Mb
Release : 1956
Category : Electronic
ISBN : OCLC:1299192662

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Quantum Theory by David Bohm Pdf

Author : Chris Heunen,Jamie Vicary
Publisher : Oxford University Press
Page : 320 pages
File Size : 48,9 Mb
Release : 2019-11-14
Category : Mathematics
ISBN : 9780191060069

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Categories for Quantum Theory by Chris Heunen,Jamie Vicary Pdf

Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive. Biproducts and dual objects are introduced and used to model superposition and entanglement, with quantum teleportation studied abstractly using these structures. Monoids, Frobenius structures and Hopf algebras are described, and it is shown how they can be used to model classical information and complementary observables. The CP construction, a categorical tool to describe probabilistic quantum systems, is also investigated. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding. Prior knowledge of linear algebra, quantum information or category theory would give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text links with many other areas are highlighted, such as representation theory, topology, quantum algebra, knot theory, and probability theory, and nonstandard models are presented, such as sets and relations. All results are stated rigorously, and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook.

Author : L. D. Faddeev
Publisher : CRC Press
Page : 236 pages
File Size : 47,9 Mb
Release : 2018-03-05
Category : Science
ISBN : 9780429962370

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Gauge Fields by L. D. Faddeev Pdf

First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Author : Travis Norsen
Publisher : Springer
Page : 310 pages
File Size : 52,7 Mb
Release : 2017-08-17
Category : Science
ISBN : 9783319658674

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Foundations of Quantum Mechanics by Travis Norsen Pdf

Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Author : Emmanuel Haven,Andrei Khrennikov
Publisher : Springer
Page : 377 pages
File Size : 53,9 Mb
Release : 2017-02-06
Category : Business & Economics
ISBN : 9781137492760

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The Palgrave Handbook of Quantum Models in Social Science by Emmanuel Haven,Andrei Khrennikov Pdf

It is not intuitive to accept that there exists a link between quantum physical systems and cognitive systems. However, recent research has shown that cognitive systems and collective (social) systems, including biology, exhibit uncertainty which can be successfully modelled with quantum probability. The use of such probability allows for the modelling of situations which typically violate the laws of classical probability. The Palgrave Handbook of Quantum Models in Social Science is is a unique volume that brings together contributions from leading experts on key topics in this new and emerging field. Completely self-contained, it begins with an introductory section which gathers all the fundamental notions required to be able to understand later chapters. The handbook then moves on to address some of the latest research and applications for quantum methods in social science disciplines, including economics, politics and psychology. It begins with the issue of how the quantum mechanical framework can be applied to economics. Chapters devoted to this topic range from how Fisher information can be argued to play a role in economics, to the foundations and application of quantum game theory. The handbook then progresses in considering how belief states can be updated with the theory of quantum measurements (and also with more general methods). The practical use of the Hilbert space (and Fock space) in decision theory is then introduced, and open quantum systems are also considered. The handbook also treats a model of neural oscillators that reproduces some of the features of quantum cognition. Other contributions delve into causal reasoning using quantum Bayes nets and the role of quantum probability in modelling so called affective evaluation. The handbook is rounded off with two chapters which discuss the grand challenges which lie ahead of us. How can the quantum formalism be justified in social science and is the traditional quantum formalism too restrictive? Finally, a question is posed: whether there is a necessary role for quantum mathematical models to go beyond physics. This book will bring the latest and most cutting edge research on quantum theory to social science disciplines. Students and researchers across the discipline, as well as those in the fields of physics and mathematics will welcome this important addition to the literature.

Author : Giacomo Mauro D'Ariano,Giulio Chiribella,Paolo Perinotti
Publisher : Cambridge University Press
Page : 359 pages
File Size : 49,7 Mb
Release : 2017-01-28
Category : Science
ISBN : 9781107043428

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Quantum Theory from First Principles by Giacomo Mauro D'Ariano,Giulio Chiribella,Paolo Perinotti Pdf

A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.

Author : David Bohm
Publisher : Dover Publications
Page : 660 pages
File Size : 42,8 Mb
Release : 1989-05-01
Category : Science
ISBN : 0486659690

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Quantum Theory by David Bohm Pdf

This superb text by David Bohm, formerly Princeton University and Emeritus Professor of Theoretical Physics at Birkbeck College, University of London, provides a formulation of the quantum theory in terms of qualitative and imaginative concepts that have evolved outside and beyond classical theory. Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail. Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions. Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts. Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.