A New Approach To Quantum Logic PDF Download
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| Author | : Kurt Engesser |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2007 |
| Genre | : Quantum logic |
| ISBN | : 9781904987536 |
Download A New Approach to Quantum Logic Book in PDF, ePub and Kindle
This monograph is an investigation into certain new logical structures implicit in the formalism of quantum mechanics. Its message rests on two pillars. The first pillar is the dynamic view of propositions. Propositions are viewed as acting on states of the world and changing them rather than just being true or false in them. The second pillar is a logical enquiry into the nature of the states of a dynamic framework in general and thus the nature of physical states in particular. It turns out that a physical state viewed as a logical entity must encode other states and also itself. The main logical structures under investigation are that of an M-algebra and that of a holistic logic. In a sense to be made precise the latter structures reflect the 'holistic' nature of quantum mechanics.
| Author | : David W. Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 159 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461388414 |
Download An Introduction to Hilbert Space and Quantum Logic Book in PDF, ePub and Kindle
Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.
| Author | : Miklós Rédei |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 244 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 9401590265 |
Download Quantum Logic in Algebraic Approach Book in PDF, ePub and Kindle
This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.
| Author | : Karl Svozil |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 246 |
| Release | : 1998-09-01 |
| Genre | : Science |
| ISBN | : 9789814021074 |
Download Quantum Logic Book in PDF, ePub and Kindle
Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.
| Author | : Maria Luisa Dalla Chiara |
| Publisher | : Springer |
| Total Pages | : 178 |
| Release | : 2018-12-10 |
| Genre | : Philosophy |
| ISBN | : 3030044718 |
Download Quantum Computation and Logic Book in PDF, ePub and Kindle
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.
| Author | : Enrico G. Beltrametti |
| Publisher | : Cambridge University Press |
| Total Pages | : 340 |
| Release | : 2010-12-09 |
| Genre | : Mathematics |
| ISBN | : 9780521168496 |
Download The Logic of Quantum Mechanics: Volume 15 Book in PDF, ePub and Kindle
This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.
| Author | : Enrico G. Beltrametti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 478 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461332281 |
Download Current Issues in Quantum Logic Book in PDF, ePub and Kindle
These are the proceedings of the Workshop on Quantum Logic held in Erice (Sicily), December 2 - 9, 1979, at the Ettore Hajorana Centre for Scientific Culture. A conference of this sort was originally proposed by Giuliano Toraldo di Francia, who suggested the idea to Antonino Zichichi, and thus laid the foundation for the Workshop. To both of them we express our appreciation and thanks, also on behalf of the other participants, for having made this conference possible. There were approximately fifty participants; their names and institutions are listed in the text. Quantum logic, which has now a history of some forty or more years, has seen remarkable growth during the sixties and seventies. The papers in the present volume presuppose, by and large, some acquaintance with the elements of the subject. These may be found in the well-known books by J.H. Jauch (Foundations of Quantum Hechanics; Reading, 1968), V.S. Varadarajan (Geometry of Quantum Theory: Princeton, 1968), and C. Piron (Foundations of Quantum Theory; New York, 1976). The initial program for the conference listed about twenty-five invited papers. But in the context of a very active and qualified attendance, other contributions were offered. This volume contains all of them. The program listed six main topics: I. Classification or different areas of quantum logic, and open problems. II. Comparison and unification of different approaches to quantum theories; problems of interpretation. III. Formal quantum logic; axiomatics. IV. Hodal interpretations of quantum logic. v vi FOREWORD V. Quantum set theory.
| Author | : Marinescu |
| Publisher | : Pearson Education India |
| Total Pages | : 406 |
| Release | : 2008-09 |
| Genre | : |
| ISBN | : 9788131722336 |
Download Approaching Quantum Computing Book in PDF, ePub and Kindle
| Author | : Kurt Engesser |
| Publisher | : Elsevier |
| Total Pages | : 726 |
| Release | : 2009-06-16 |
| Genre | : Mathematics |
| ISBN | : 9780080931661 |
Download Handbook of Quantum Logic and Quantum Structures Book in PDF, ePub and Kindle
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 | : Claudio Garola |
| Publisher | : World Scientific |
| Total Pages | : 373 |
| Release | : 2006 |
| Genre | : Science |
| ISBN | : 9812773258 |
Download The Foundations of Quantum Mechanics, Historical Analysis and Open Questions - Cesena 2004 Book in PDF, ePub and Kindle
This volume provides a unique overview of recent Italian studies on the foundations of quantum mechanics and related historical, philosophical and epistemological topics. A gathering of scholars from diverse cultural backgrounds, the conference provided a forum for a fascinating exchange of ideas and perspectives on a range of open questions in quantum mechanics. The varied nature of the papers in this volume attests to the achievement of that aim with many contributions providing original solutions to established problems by taking into account recommendations from different disciplines. Contents: If Bertlmann had Three Feet (A Afriat); Macroscopic Interpretability of Quantum Component Systems (R Ascoli); Entanglement State Preparation in Experiments on Quantum Non-Locality (V Berardi & A Garuccio); Mathematics and Epistemology in Planck''s Theoretical Work (1898OCo1915) (P Campogalliani); The Electromagnetic Conception of Nature and the Origins of Quantum Physics (E A Giannetto); An Objective Background for Quantum Theory Relaying on Thermodynamic Concepts (L Lanz & B Vacchini); The Entrance of Quantum Mechanics in Italy: From Garbasso to Fermi (M Leone & N Robotti); Antonio Gramsci''s Reflection on Quantum Mechanics (I Tassani); The Role of Logic and Mathematics in the Heisenberg Formulation of Quantum Mechanics (A Venezia); Space-Time at the Planck Scale: The Quantum Computer View (P A Zizzi); and other papers. Readership: Physicists interested in the foundation of quantum mechanics; historians interested in the history and development of modern physics; philosophers interested in the epistemology and philosophy of modern physics."
