Download or read book Relativity Symmetry and the Structure of the Quantum Theory written by William H. Klink and published by Morgan & Claypool Publishers. This book was released on 2014-04-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory is one of the most successful of all physical theories. Our everyday world is dominated by devices that function because of knowledge of the quantum world. Yet many, physicists and non-physicists alike, find the theory which explains the beh

Download or read book Relativity Symmetry and the Structure of Quantum Theory Volume 2 written by W H Klink and published by Myprint. This book was released on 2018-03-14 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Relativity Symmetry and the Structure of Quantum Theory I Galilean Quantum Theory written by William H. Klink and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Relativity Symmetry and the Structure of Quantum Theory written by William H. Klink and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers relativistic quantum theory from the point of view of a particle theory, based on the irreducible representations of the Poincaré group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; this book develops what is called relativistic point form quantum mechanics, which, unlike quantum field theory, deals with a fixed number of particles in a relativistically invariant way. A chapter is devoted to applications of point form quantum mechanics to nuclear physics.

Download or read book Relativity Symmetry and the Structure of Quantum Theory Volume 2 written by William H Klink and published by Morgan & Claypool Publishers. This book was released on 2018-03-23 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first version of quantum theory, developed in the mid 1920's, is what is called nonrelativistic quantum theory; it is based on a form of relativity which, in a previous volume, was called Newton relativity. But quickly after this first development, it was realized that, in order to account for high energy phenomena such as particle creation, it was necessary to develop a quantum theory based on Einstein relativity. This in turn led to the development of relativistic quantum field theory, which is an intrinsically many-body theory. But this is not the only possibility for a relativistic quantum theory. In this book we take the point of view of a particle theory, based on the irreducible representations of the Poincare group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; we develop what is called relativistic point form quantum mechanics, which, unlike quantum field theory, deals with a fixed number of particles in a relativistically invariant way. A central issue in any relativistic quantum theory is how to introduce interactions without spoiling relativistic invariance. We show that interactions can be incorporated in a mass operator, in such a way that relativistic invariance is maintained. Surprisingly for a relativistic theory, such a construction allows for instantaneous interactions; in addition, dynamical particle exchange and particle production can be included in a multichannel formulation of the mass operator. For systems of more than two particles, however, straightforward application of such a construction leads to the undesirable property that clusters of widely separated particles continue to interact with one another, even if the interactions between the individual particles are of short range. A significant part of this volume deals with the solution of this problem. Since relativistic quantum mechanics is not as well-known as relativistic quantum field theory, a chapter is devoted to applications of point form quantum mechanics to nuclear physics; in particular we show how constituent quark models can be used to derive electromagnetic and other properties of hadrons.

Download or read book Non Relativistic Quantum Theory written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2009-08-24 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern–Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Download or read book Symmetry Structure and Spacetime written by Dean Rickles and published by Elsevier. This book was released on 2008 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Download or read book 100 Years of Relativity written by Abhay Ashtekar and published by World Scientific. This book was released on 2005 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.

Download or read book Relativistic Quantum Theory of Atoms and Molecules written by Ian P Grant and published by Springer Science & Business Media. This book was released on 2007-04-15 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for physicists and chemists who need to understand the theory of atomic and molecular structure and processes, and who wish to apply the theory to practical problems. As far as practicable, the book provides a self-contained account of the theory of relativistic atomic and molecular structure, based on the accepted formalism of bound-state Quantum Electrodynamics. The author was elected a Fellow of the Royal Society of London in 1992.

Download or read book Spectral Theory and Quantum Mechanics written by Valter Moretti and published by Springer. This book was released on 2018-01-30 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Download or read book Quantum Fluctuations of Spacetime written by Lawrence B. Crowell and published by World Scientific. This book was released on 2005 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.

Download or read book Introductory Quantum Physics and Relativity written by Jacob Dunningham and published by World Scientific. This book was released on 2018-04-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version of Introductory Quantum Physics and Relativity. Based on lectures given as part of the undergraduate degree programme at the University of Leeds, it has been extended in line with recent developments in the field. The book contains all the material required for quantum physics and relativity in the first three years of a traditional physics degree, in addition to more interesting and up-to-date extensions and applications which include quantum field theory, entanglement, and quantum information science. The second edition is unique as an undergraduate textbook as it combines quantum physics and relativity at an introductory level. It expounds the foundations of these two subjects in detail, but also illustrates how they can be combined. It discusses recent applications, but also exposes undergraduates to cutting-edge research topics, such as laser cooling, Bose-Einstein condensation, tunneling microscopes, lasers, nonlocality, and quantum teleportation. Contents: IntroductionOld Quantum TheoryQuantum MechanicsApplications of Quantum MechanicsSchrödinger Equation in Three DimensionsSpin and StatisticsAtoms, Molecules and LasersFormal Structure of Quantum MechanicsSecond Revolution: RelativityFine Structure of the Hydrogen AtomRelativistic Quantum MechanicsQuantum EntanglementSolutions Readership: Students taking undergraduate-level courses in quantum physics and relativity. Keywords: Quantum Physics;RelativityReview: Key Features: Combines Quantum Physics and Relativity. Covers the two subjects in a more coherent way than existing books. Many universities teach quantum physics and relativity together as one lecture course and so a book that covers both but also shows how they can be combined is a valuable resourceModern Choice of Topics. We will draw on topics from our own research to bring the two subjects up to date and give students a taste of cutting edge research. Examples will include such things as laser cooling, Bose condensation, tunneling microscopes, lasers, Bell's inequalities, quantum teleportationHas questions and answers -- ideal for self-study. This is pitched at typical exam level and so will be excellent for exam practice

Download or read book Relativity Groups Particles written by Roman U. Sexl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory. After explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - illustrated by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to the conceptual clarification.

Download or read book Fundamental Mathematical Structures of Quantum Theory written by Valter Moretti and published by Springer. This book was released on 2019-06-20 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality. Written in a didactic style, this book includes many examples and solved exercises. The work is organized as follows. Chapter 1 reviews some elementary facts and properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the so called algebraic formulation of quantum theories in terms of both *-algebras and C*-algebras. This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.

Download or read book Quantum Relativity written by David R. Finkelstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.

Download or read book Quantum Theory and Gravitation written by A Marlow and published by Elsevier. This book was released on 2012-12-02 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory and Gravitation provides information pertinent to quantum theory and general relativity. This book defines the problem areas and presents specific solutions to problems in relativity or quantum theory. Organized into 17 chapters, this book starts with an overview of the concept of pregeometry wherein the geometry of space and space time are based. This text then explores the restriction to real amplitude in photon polarization experiment, which appears in the fact that the elliptical polarizations are not included as possibilities. Other chapters consider the primary role that space-time models play in the expression of physical theories. This book discusses as well the basic structure of an axiomatic model for a fully relativistic quantum theory, which consists of four axioms imposed on an operational quantum logical universe of discourse. The final chapter describes the relationships between certain areas of mathematics and the developments in theoretical physics. Physicists, mathematicians, and researchers will find this book useful.