The Logic Of Quantum Mechanics Volume 15
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The Logic Of Quantum Mechanics Volume 15
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Author : Enrico G. Beltrametti
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-09
The Logic Of Quantum Mechanics Volume 15 written by Enrico G. Beltrametti 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 2010-12-09 with Mathematics categories.
This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.
From Classical Mechanics To Quantum Field Theory A Tutorial
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Author : Manuel Asorey
language : en
Publisher: World Scientific
Release Date : 2020-01-14
From Classical Mechanics To Quantum Field Theory A Tutorial written by Manuel Asorey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Science categories.
This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.
Quantum Theory From First Principles
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Author : Giacomo Mauro D'Ariano
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-28
Quantum Theory From First Principles written by Giacomo Mauro D'Ariano 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 2017-01-28 with Science categories.
A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.
Quantum Computation And Logic
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Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer
Release Date : 2018-12-10
Quantum Computation And Logic written by Maria Luisa Dalla Chiara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-10 with Philosophy categories.
This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.
Geometry Of Quantum Theory
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Author : V.S. Varadarajan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-03
Geometry Of Quantum Theory written by V.S. Varadarajan 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 2007-12-03 with Science categories.
Available for the first time in soft cover, this book is a classic on the foundations of quantum theory. It examines the subject from a point of view that goes back to Heisenberg and Dirac and whose definitive mathematical formulation is due to von Neumann. This view leads most naturally to the fundamental questions that are at the basis of all attempts to understand the world of atomic and subatomic particles.
Quantum Theory Informational Foundations And Foils
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Author : Giulio Chiribella
language : en
Publisher: Springer
Release Date : 2015-12-08
Quantum Theory Informational Foundations And Foils written by Giulio Chiribella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Science categories.
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.
Reasoning In Quantum Theory
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Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Reasoning In Quantum Theory written by Maria Luisa Dalla Chiara 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 Mathematics categories.
"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.
Spectral Theory And Quantum Mechanics
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Author : Valter Moretti
language : en
Publisher: Springer
Release Date : 2018-01-30
Spectral Theory And Quantum Mechanics written by Valter Moretti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory. Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories. Intended for Master's and PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book also benefits established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly."
Non Reflexive Logics Non Individuals And The Philosophy Of Quantum Mechanics
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Author : Jonas R. B. Arenhart
language : en
Publisher: Springer Nature
Release Date : 2023-09-05
Non Reflexive Logics Non Individuals And The Philosophy Of Quantum Mechanics written by Jonas R. B. Arenhart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Philosophy categories.
This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in many different directions, commenting on aspects not completely developed so far, and, more importantly, critically addressing their current formulations and defenses by Krause himself. Given that Krause’s ideas do connect directly and indirectly with a wide array of subjects, such as the philosophy of quantum mechanics, more broadly understood, the philosophy of logic and logical philosophy, non-classical logics, metaphysics, and ontology, this volume contains important material for the research on logic and foundations of science, broadly understood. All the invited contributors have already worked with the ideas developed by Décio (some of them still work with them), being also distinct authors and extremely relevant in their areas of expertise. The volume is aimed at philosophers, including those of physics and quantum mechanics.
The Logico Algebraic Approach To Quantum Mechanics
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Author : C.A. Hooker
language : en
Publisher: Springer Science & Business Media
Release Date : 1979-05-31
The Logico Algebraic Approach To Quantum Mechanics written by C.A. Hooker 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 1979-05-31 with Philosophy categories.
The twentieth century has witnessed a striking transformation in the understanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi tional opinion that one should look to the specific applications of a theory in orrter to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that structure, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical manoeuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrodinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation, the elementary theory moved, flanked even at this later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic alternative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical structures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manipulation of purely abstract structures.