Quantum Physics and Linguistics

Quantum Physics and Linguistics PDF Author: Chris Heunen
Publisher: OUP Oxford
ISBN: 0191650315
Category : Science
Languages : en
Pages : 430

Get Book Here

Book Description
New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world. Over the past decade, theoretical physics and quantum information theory have turned to category theory to model and reason about quantum protocols. This new use of categorical and algebraic tools allows a more conceptual and insightful expression of elementary events such as measurements, teleportation and entanglement operations, that were obscured in previous formalisms. Recent work in natural language semantics has begun to use these categorical methods to relate grammatical analysis and semantic representations in a unified framework for analysing language meaning, and learning meaning from a corpus. A growing body of literature on the use of categorical methods in quantum information theory and computational linguistics shows both the need and opportunity for new research on the relation between these categorical methods and the abstract notion of information flow. This book supplies an overview of how categorical methods are used to model information flow in both physics and linguistics. It serves as an introduction to this interdisciplinary research, and provides a basis for future research and collaboration between the different communities interested in applying category theoretic methods to their domain's open problems.

Quantum Physics and Linguistics

Quantum Physics and Linguistics PDF Author: Chris Heunen
Publisher: OUP Oxford
ISBN: 0191650315
Category : Science
Languages : en
Pages : 430

Get Book Here

Book Description
New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world. Over the past decade, theoretical physics and quantum information theory have turned to category theory to model and reason about quantum protocols. This new use of categorical and algebraic tools allows a more conceptual and insightful expression of elementary events such as measurements, teleportation and entanglement operations, that were obscured in previous formalisms. Recent work in natural language semantics has begun to use these categorical methods to relate grammatical analysis and semantic representations in a unified framework for analysing language meaning, and learning meaning from a corpus. A growing body of literature on the use of categorical methods in quantum information theory and computational linguistics shows both the need and opportunity for new research on the relation between these categorical methods and the abstract notion of information flow. This book supplies an overview of how categorical methods are used to model information flow in both physics and linguistics. It serves as an introduction to this interdisciplinary research, and provides a basis for future research and collaboration between the different communities interested in applying category theoretic methods to their domain's open problems.

Coherent Quantum Physics

Coherent Quantum Physics PDF Author: Arnold Neumaier
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110667363
Category : Science
Languages : en
Pages : 376

Get Book Here

Book Description
This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.

Quantum Language and the Migration of Scientific Concepts

Quantum Language and the Migration of Scientific Concepts PDF Author: Jennifer Burwell
Publisher: MIT Press
ISBN: 0262037556
Category : Science
Languages : en
Pages : 338

Get Book Here

Book Description
How highly abstract quantum concepts were represented in language, and how these concepts were later taken up by philosophers, literary critics, and new-age gurus. The principles of quantum physics—and the strange phenomena they describe—are represented most precisely in highly abstract algebraic equations. Why, then, did these mathematically driven concepts compel founders of the field, particularly Erwin Schrödinger, Niels Bohr, and Werner Heisenberg, to spend so much time reflecting on ontological, epistemological, and linguistic concerns? What is it about quantum concepts that appeals to latter-day Eastern mystics, poststructuralist critics, and get-rich-quick schemers? How did their interpretations and misinterpretations of quantum phenomena reveal their own priorities? In this book, Jennifer Burwell examines these questions and considers what quantum phenomena—in the context of the founders' debates over how to describe them—reveal about the relationship between everyday experience, perception, and language. Drawing on linguistic, literary, and philosophical traditions, Burwell illuminates representational and linguistic problems posed by quantum concepts—the fact, for example, that quantum phenomena exist only as probabilities or tendencies toward being and cannot be said to exist in a particular time and place. She traces the emergence of quantum theory as an analytic tool in literary criticism, in particular the use of wave/particle duality in interpretations of gender differences in the novels of Virginia Woolf and critics' connection of Bohr's Principle of Complementarity to poetic form; she examines the “quantum mysticism” of Fritjof Capra and Gary Zukav; and she concludes by analyzing “nuclear discourse” in the context of quantum concepts, arguing that it, too, adopts a language of the unthinkable and the indescribable.

Quantum Mechanics

Quantum Mechanics PDF Author: Gregory L. Naber
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110752042
Category : Science
Languages : en
Pages : 507

Get Book Here

Book Description
This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions. The author addresses all these topics with utter mathematical rigor. The high number of instructive Appendices and numerous Remark sections supply the necessary background knowledge.

The Oxford Handbook of Cognitive Linguistics

The Oxford Handbook of Cognitive Linguistics PDF Author: Dirk Geeraerts
Publisher: OUP USA
ISBN: 0199738637
Category : Language Arts & Disciplines
Languages : en
Pages : 1366

Get Book Here

Book Description
With 49 chapters written by experts in the field, this reference volume authoritatively covers cognitive linguistics, from basic concepts and models to practical applications.

Quantum Theory and Measurement

Quantum Theory and Measurement PDF Author: John Archibald Wheeler
Publisher: Princeton University Press
ISBN: 1400854555
Category : Science
Languages : en
Pages : 841

Get Book Here

Book Description
The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Quantum Field Theory

Quantum Field Theory PDF Author: Michael V. Sadovskii
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110645262
Category : Science
Languages : en
Pages : 701

Get Book Here

Book Description
This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The theoretical results are derived using the physical phenomena as a starting point. This inductive approach allows a deep understanding of the methods used for solving problems in this field. This second, revised edition is expanded with biographical notes contextualizing the main results in quantum field theory.

Picturing Quantum Processes

Picturing Quantum Processes PDF Author: Bob Coecke
Publisher: Cambridge University Press
ISBN: 1108107710
Category : Science
Languages : en
Pages : 847

Get Book Here

Book Description
The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.

Angular Momentum in Quantum Mechanics

Angular Momentum in Quantum Mechanics PDF Author: A. R. Edmonds
Publisher: Princeton University Press
ISBN: 1400884187
Category : Science
Languages : en
Pages : 155

Get Book Here

Book Description
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

Quantum Systems, Channels, Information

Quantum Systems, Channels, Information PDF Author: Alexander S. Holevo
Publisher: Walter de Gruyter
ISBN: 3110273403
Category : Science
Languages : en
Pages : 364

Get Book Here

Book Description
The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.