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This book examines the relevance of François Laruelle’s innovative notion of non-standard philosophy to critical and constructive discourses in the humanities, bringing together essays from prominent Anglophone scholars of Laruelle’s work and includes a contribution from Laurelle himself.
Best Approximation by Linear Superpositions (approximate Nomography) by S. I͡A. Khavinson Pdf
This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions D considered as a sub-space of the space of continous functions C(X) on a compact space X. Such properties as density of D in C(X), its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus algorithm for finding the best approximation of a given function by linear superpositions.
Probing the Meaning of Quantum Mechanics by Diederik Aerts,Christian de Ronde,Hector Freytes,Sven Aerts Pdf
This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and cryptography to quantum computation. Quantum theory is probably our best confirmed physical theory. However, in spite of its great empirical effectiveness it stands today still without a universally accepted physical representation that allows us to understand its relation to the world and reality. The novelty of the book comes from the multiple perspectives put forward by top researchers in quantum mechanics, from Europe as well as North and South America, discussing the meaning and structure of the theory of quanta. The book comprises in a balanced manner physical, philosophical, logical and mathematical approaches to quantum mechanics and quantum information. Going from quantum superpositions and entanglement to dynamics and the problem of identity; from quantum logic, computation and quasi-set theory to the category approach and teleportation; from realism and empiricism to operationalism and instrumentalism; the book considers from different angles some of the most intriguing questions in the field. From Buenos Aires to Brussels and Cagliari, from Florence to Florianópolis, the interaction between different groups is reflected in the many different articles. This book is interesting not only to the specialists but also to the general public attempting to get a grasp on some of the most fundamental questions of present quantum physics. Contents:On the Notion of Truth in Quantum Mechanics: A Category-Theoretic Standpoint (V Karakostas and E Zafiris)A Logical Account of Quantum Superpositions (D Krause and J R B Arenhart)Mixing Categories and Modal Logics in the Quantum Setting (G Cinà)Binary Gates in Three Valued Quantum Computational Logics (G Sergioli, A Ledda and R Giuntini)The GTR Model: A Universal Framework for Quantum-Like Measurements (D Aerts and M S de Bianchi)'Probabilistic Knowledge' as 'Objective Knowledge' in Quantum Mechanics: Potential Immanent Powers Instead of Actual Properties (C de Ronde)On When a Semantics is not a Good Semantics: The Algebraisation of Orthomodular Logic (T Kowalski, F Paoli and and R Giuntin)Von Neumann, Empiricism and the Foundations of Quantum Mechanics (O Bueno)The Born Rule and Free Will: Why Libertarian Agent-Causal Free Will is Not "Antiscientific" (R E Kastner)Fuzzy Approach for CNOT Gate in Quantum Computation with Mixed States (G Sergioli and H Freytes)A Modal Logic of Indiscernibility (D Krause, J R B Arenhart and P Merlussi)The Possibility of a New Metaphysics for Quantum Mechanics from Meinong's Theory of Objects (M Graffigna)Entanglement of Formation for Werner States and Isotropic States via Logical Gates (C Bertini, M L D Chiara and R Leporini)Time, Chance and Quantum Theory (A Sudbery)A Topos Theoretic Framework for Paraconsistent Quantum Theory (B Eva)A Possible Solution to the Second Entanglement Paradox (D Aerts and M S de Bianchi) Readership: University students and researchers interested in the foundation of quantum mechanics.
Theory of Nonclassical States of Light by V.V. Dodonov,V.I. Man'ko Pdf
The term 'nonclassical states' refers to the quantum states that cannot be produced in the usual sources of light, such as lasers or lamps, rather than those requiring more sophisticated apparatus for their production. Theory of Non-classical States of Light describes the current status of the theory of nonclassical states of light including many new and important results as well as introductory material and the history of the subject. The authors concentrate on the most important types of nonclassical states, namely squeezed, even/odd ('Schrodinger cat') and binomial states, including their generalizations. However, a review of other types of nonclassical is also given in the introduction, and methods for generating nonclassical states on various processes of light-matter interaction, their phase-space description, and the time evolution of nonclassical states in these processes is presented in separate chapters. This contributed volume contains all of the necessary formulae and references required to gain a good understanding of the principles and current status of the field. It will provide a valuable information resource for advanced students and researchers in quantum physics.
A QUANTUM PHYSICS MURDER MYSTERY. A Mind-Bending, Near-Future, Science Fiction Technothriller. Jacob Kelley's family is turned upside down when an old friend turns up, waving a gun and babbling about an alien quantum intelligence. The mystery deepens when the friend is found dead in an underground bunker...apparently murdered the night he appeared at Jacob's house. Jacob is arrested for the murder and put on trial. As the details of the crime slowly come to light, the weave of reality becomes ever more tangled, twisted by a miraculous new technology and a quantum creature unconstrained by the normal limits of space and matter. With the help of his daughter, Alessandra, Jacob must find the true murderer before the creature destroys his family and everything he loves. From the Trade Paperback edition.
X-Ray Structure Determination by George H. Stout,Lyle H. Jensen Pdf
Closely follows an actual structural determination. After some introductory material on the nature of x-rays, the diffraction process, and the internal geometry of crystals, the selection and preparation of a crystal are considered. Techniques of measuring raw x-ray data are covered, plus their reduction into a useable form. The second part discusses both traditional and novel methods of solving the ``phase'' problem, the principal difficulty in x-ray structure determination. The third part considers how to extract the most information from the data and how to evaluate its reliability. Finally, there is a discussion of sources of error in practice and interpretation.
The Theory of the Moiré Phenomenon by Isaac Amidror Pdf
Since the first edition of this book was published several new developments have been made in the field of the moiré theory. The most important of these concern new results that have recently been obtained on moiré effects between correlated aperiodic (or random) structures, a subject that was completely absent in the first edition, and which appears now for the first time in a second, separate volume. This also explains the change in the title of the present volume, which now includes the subtitle “Volume I: Periodic Layers”. This subtitle has been added to clearly distinguish the present volume from its new companion, which is subtitled “Volume II: Aperiodic Layers”. It should be noted, however, that the new subtitle of the present volume may be somewhat misleading, since this book also treats (in Chapters 10 and 11) moiré effects between repetitive layers, which are, in fact, geometric transformations of periodic layers, that are generally no longer periodic in themselves. The most suitable subtitle for the present volume would therefore have been “Periodic or Repetitive Layers”, but in the end we have decided on the shorter version.
Decoherence and the Appearance of a Classical World in Quantum Theory by Domenico Giulini,Erich Joos,Claus Kiefer,Joachim Kupsch,I.-O. Stamatescu,H.D. Zeh Pdf
Decoherence, a concept known only to few physicists when the first edition appeared in 1996, has since become firmly established experimentally and understood theoretically, as well as widely reported in the literature. The major consequences of decoherence are the emergence of "classicality" in general, superselection rules, the border line between microscopic and macroscopic behavior in molecules and field theory, the emergence of classical spacetime, and the appearance of quantum jumps. The most important new developments in this rapidly evolving field are included in the second edition of this book, which has become a standard reference on the subject. All chapters have been thoroughly revised and updated. New fields of application now addressed span chaos theory, quantum information, neuroscience, primordial fluctuations in cosmology, black holes and string theory, experimental tests, and interpretational issues. While the major part of the book is concerned with environmental decoherence derived from a universal Schrödinger equation, later chapters address related or competing methods, such as consistent histories, open system dynamics, algebraic approaches, and collapse models.
Everybody has heard that we live in a world made of atoms. But far more fundamentally, we live in a universe made of quanta. Many things are not made of atoms: light, radio waves, electric current, magnetic fields, Earth's gravitational field, not to mention exotica such a neutron stars, black holes, dark energy, and dark matter. But everything, including atoms, is made of highly unified or "coherent" bundles of energy called "quanta" that (like everything else) obey certain rules. In the case of the quantum, these rules are called "quantum physics." This is a book about quanta and their unexpected, some would say peculiar, behavior--tales, if you will, of the quantum. The quantum has developed the reputation of being capricious, bewildering, even impossible to understand. The peculiar habits of quanta are certainly not what we would have expected to find at the foundation of physical reality, but these habits are not necessarily bewildering and not at all impossible or paradoxical. This book explains those habits--the quantum rules--in everyday language, without mathematics or unnecessary technicalities. While most popular books about quantum physics follow the topic's scientific history from 1900 to today, this book follows the phenomena: wave-particle duality, fundamental randomness, quantum states, superpositions (being in two places at once), entanglement, non-locality, Schrodinger's cat, and quantum jumps, and presents the history and the scientists only to the extent that they illuminate the phenomena.
Laser Spectroscopy - Proceedings Of The Xiv International Conference (Icols99) by Rainer Blatt,Jurgen Eschner,Dietrich Leibfried,Ferdinand Schmidt-kaler Pdf
The 14th International Conference on Laser Spectroscopy brought together spectroscopists from all over the world working in the very diverse and still growing field of laser spectroscopy. Spanning the area from fundamental issues (such as experiments testing the foundations of quantum mechanics), to atomic and molecular spectroscopy, precision spectroscopy and matter wave optics to Bose-Einstein condensation, covering quantum optics and the new field of quantum computation and quantum information, up to nonlinear optics and ultrashort pulse spectroscopy, and medical applications of laser spectroscopy, the conference addressed a large number of modern scientific issues at the highest level.