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New Trends In Quantum Structures
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Book Synopsis New Trends in Quantum Structures by : Anatolij Dvurecenskij
Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Book Synopsis New Trends in Quantum Structures by : Anatolij Dvurečenskij
Download or read book New Trends in Quantum Structures written by Anatolij Dvurečenskij and published by . This book was released on 2000 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Trends in Quantum Structures by : Anatolij Dvurecenskij
Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer. This book was released on 2014-03-14 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Book Synopsis Handbook of Quantum Logic and Quantum Structures by : Kurt Engesser
Download or read book Handbook of Quantum Logic and Quantum Structures written by Kurt Engesser and published by Elsevier. This book was released on 2009-06-16 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop by : Asim Orhan Barut
Download or read book Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop written by Asim Orhan Barut and published by World Scientific. This book was released on 1995-02-21 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum systems in all areas of physics, from atomic and molecular physics, nuclear and particle physics to condensed matter and astrophysics, provide a rich mosaic of different structures. Yet there are some simple and universal working principles of nature which seem to govern these structures and manifest themselves in various forms, as well as likely hypothetical ones which might do the same. For example, the same symmetry group structure occurs again and again in optics, atomic physics and particle physics. Concepts like potential, phases, bound states, tunneling, interference, solitons, radiation and resonance are universal.It is for those reasons that a collection of recent works in the many areas of physics on quantum structures and the methods for their investigation is important. The present volume fulfills this task to a large extent. The contributions are wide-ranging and yet there is a certain continuity. The main topics, namely non-perturbative methods in quantum theory, quantum nonlinear systems, quantum phases and magnetic monopoles, are covered by longer review articles and are enriched by many related contributions. It is also very appropriate that the corresponding mathematical methods, such as those for solving Schrödinger and relativistic wave equations, as well as those of algebra and group representations and analysis, are included in this volume.
Book Synopsis Logic and Algebraic Structures in Quantum Computing by : Jennifer Chubb
Download or read book Logic and Algebraic Structures in Quantum Computing written by Jennifer Chubb and published by Cambridge University Press. This book was released on 2016-02-26 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the field explore the connections across physics, quantum logic, and quantum computing.
Book Synopsis New Trends in Quantum Systems in Chemistry and Physics by : J. Maruani
Download or read book New Trends in Quantum Systems in Chemistry and Physics written by J. Maruani and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999. A total of one hundred and fifteen scientists attended the workshop, 99 from Europe and 16 from the rest of the world. They discussed the state of the art, new trends, and future evolution of the methods and applications. The workshop was held in the old town of Marly-le-Roi, which lies to the West of Paris between the historic centres of Saint-Germain-en-Laye and Versailles. Participants were housed at the National Youth Institute, where over sixty lectures were given by l- ding members of the scientific community; in addition, over sixty posters were presented in two very animated sessions. We are grateful to the oral speakers and to the poster p- senters for making the workshop such an stimulating experience. The social programme was also memorable – and not just for the closing banquet, which was held at the French Senate House. We are sure that participants will long remember their visit to the 'Musée des Antiquités Nationales': created by Napoleon III at the birthplace of Louis XIV, this museum boasts one of the world finest collections of archeological artifacts. The Marly-le-Roi workshop followed the format established at the three previous meetings, organized by Prof.
Book Synopsis Quantum Computation and Logic by : Maria Luisa Dalla Chiara
Download or read book Quantum Computation and Logic written by Maria Luisa Dalla Chiara and published by Springer. This book was released on 2018-12-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Trends in Logic by : Vincent F. Hendricks
Download or read book Trends in Logic written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.
Book Synopsis New Trends in Quantum Electrodynamics by : Roberto Passante
Download or read book New Trends in Quantum Electrodynamics written by Roberto Passante and published by MDPI. This book was released on 2020-04-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects research and review articles covering some recent trends in nonrelativistic quantum electrodynamics, specifically the interaction of atoms or molecules within the quantum electromagnetic radiation field and the related physical effects. Specific topics covered are: two- and three-body dispersion interactions between atoms and molecules, both in the nonretarded van der Waals and the retarded Casimir–Polder regime; vacuum field fluctuations of the electromagnetic field and their effect in atomic systems; dispersion interactions between uniformly accelerating atoms and relation with the Fulling–Davies–Unruh effect; dynamics of atomic systems under strong electromagnetic fields; symmetries in quantum electrodynamics; and open quantum systems.
Author :Maria Luisa Dalla Chiara Publisher :Springer Science & Business Media ISBN 13 :9401705267 Total Pages :301 pages Book Rating :4.4/5 (17 download)
Book Synopsis Reasoning in Quantum Theory by : Maria Luisa Dalla Chiara
Download or read book Reasoning in Quantum Theory written by Maria Luisa Dalla Chiara and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Handbook of Measure Theory by : E. Pap
Download or read book Handbook of Measure Theory written by E. Pap and published by Elsevier. This book was released on 2002-10-31 with total page 1633 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.
Book Synopsis Probing The Meaning Of Quantum Mechanics: Physical, Philosophical, And Logical Perspectives by : Diederik Aerts
Download or read book Probing The Meaning Of Quantum Mechanics: Physical, Philosophical, And Logical Perspectives written by Diederik Aerts and published by World Scientific. This book was released on 2014-03-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a new original perspective on one of the most fascinating and important open questions in science: What is quantum mechanics talking about? Quantum theory is perhaps our best confirmed physical theory. However, in spite of its great empirical effectiveness and the subsequent technological developments that it gave rise to in the 20th century, from the interpretation of the periodic table of elements to CD players, holograms and quantum state teleportation, it stands even today without a universally accepted interpretation. The novelty of the book comes from the multiple viewpoints and the original angles taken by a group of young researchers from Europe and South America who gathered for several years under the auspices of the Center Leo Apostel.Each member of the group presented ideas concerning the interpretation of quantum mechanics. We had discussions ranging from the philosophical underpinnings of local realism and holism, information and decision theoretic approaches to quantum theory all the way to the many worlds interpretation. Strikingly, in much the same way as different — and indeed incompatible observations are needed to fully describe the physical state of affairs in quantum mechanics — the various interpretations of the theory also seem to shed viable, but not necessarily compatible, perspectives on different aspects of the same grand framework. The discussions that followed were both technical and lively, but perhaps their most remarkable quality was the absence of rigid points of view that unfortunately seems to paralyze so much of the discussion in this area. This book is an expression which can be interesting not only to the specialists but also for the general public attempting to get a grasp on one of the still most fundamental questions of present physics.
Book Synopsis Quantitative Logic and Soft Computing by : Guojun Wang
Download or read book Quantitative Logic and Soft Computing written by Guojun Wang and published by World Scientific. This book was released on 2012 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest reseaches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing. This invaluable book provides a broad introduction to the fuzzy reasoning and soft computing. It is certain one should not go too far in approximation and optimization, and a certain degree must be kept in mind. This is the essential idea of quantitative logic and soft computing. The explanations in the book are complete to provide the necessary background material needed to go further into the subject and explore the research literature. It is suitable reading for graduate students. It provides a platform for mutual exchanges from top experts and scholars around the world in this field.
Book Synopsis Quantitative Logic and Soft Computing by : Yongming Li
Download or read book Quantitative Logic and Soft Computing written by Yongming Li and published by World Scientific. This book was released on 2012 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest researches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing. This invaluable book provides a broad introduction to the fuzzy reasoning and soft computing. It is certain one should not go too far in approximation and optimization, and a certain degree must be kept in mind. This is the essential idea of quantitative logic and soft computing. The explanations in the book are complete to provide the necessary background material needed to go further into the subject and explore the research literature. It is suitable reading for graduate students. It provides a platform for mutual exchanges from top experts and scholars around the world in this field.
Book Synopsis New Trends and Developments in Metrology by : Luigi Cocco
Download or read book New Trends and Developments in Metrology written by Luigi Cocco and published by BoD – Books on Demand. This book was released on 2016-07-20 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigating the incessant technology growth and the even higher complexity of engineering systems, one of the crucial requirements to confidently steer both scientific and industrial challenges is to identify an appropriate measurement approach. A general process can be considered effective and under control if the following elements are consciously and cyclically managed: numeric target, adequate tools, output analysis, and corrective actions. The role of metrology is to rigorously harmonize this virtuous circle, providing guidance in terms of instruments, standards, and techniques to improve the robustness and the accuracy of the results. This book is designed to offer an interdisciplinary experience into the science of measurement, not only covering high-level measurement strategies but also supplying analytical details and experimental setups.
Book Synopsis Trends in Quantum Physics by : Frank H. Columbus
Download or read book Trends in Quantum Physics written by Frank H. Columbus and published by Nova Publishers. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e., quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This new book presents state of art research from around the world.
