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Author : W H Klink
Publisher : Myprint
ISBN 13 : 9781681748924
Total Pages : 108 pages
Book Rating : 4.7/5 (489 download)
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:
Author : William H Klink
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748908
Total Pages : 129 pages
Book Rating : 4.6/5 (817 download)
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 129 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.
Author : William H. Klink
Publisher :
ISBN 13 : 9781681748894
Total Pages : pages
Book Rating : 4.7/5 (488 download)
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.
Author : William H. Klink
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627056246
Total Pages : 95 pages
Book Rating : 4.6/5 (27 download)
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
Author : William H Klink
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748916
Total Pages : 108 pages
Book Rating : 4.6/5 (817 download)
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.
Author : William H. Klink
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (934 download)
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:
Author : William H. Klink
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (928 download)
Download or read book Relativity, Symmetry, and the Structure of Quantum Theory: Galilean quantum theory written by William H. Klink and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kai S Lam
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107480
Total Pages : 458 pages
Book Rating : 4.8/5 (131 download)
Download or read book Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2009-08-24 with total page 458 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.
Author : L. Castell
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.F/5 ( download)
Download or read book Quantum Theory and the Structures of Time and Space, Volume 2 written by L. Castell and published by . This book was released on 1977 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Dobrev
Publisher : Springer
ISBN 13 : 9811321795
Total Pages : 433 pages
Book Rating : 4.8/5 (113 download)
Download or read book Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 written by Vladimir Dobrev and published by Springer. This book was released on 2018-09-30 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria. The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.
Author : Valter Moretti
Publisher : Springer
ISBN 13 : 3030183467
Total Pages : 345 pages
Book Rating : 4.0/5 (31 download)
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.
Author : Gianni Cassinelli
Publisher : Springer Science & Business Media
ISBN 13 : 9783540228028
Total Pages : 132 pages
Book Rating : 4.2/5 (28 download)
Download or read book The Theory of Symmetry Actions in Quantum Mechanics written by Gianni Cassinelli and published by Springer Science & Business Media. This book was released on 2004-10-27 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.
Author : Eduard Prugove?ki
Publisher : World Scientific
ISBN 13 : 9789810221386
Total Pages : 380 pages
Book Rating : 4.2/5 (213 download)
Download or read book Principles of Quantum General Relativity written by Eduard Prugove?ki and published by World Scientific. This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.
Author : Vincent Icke
Publisher : Cambridge University Press
ISBN 13 : 9780521455916
Total Pages : 368 pages
Book Rating : 4.4/5 (559 download)
Download or read book The Force of Symmetry written by Vincent Icke and published by Cambridge University Press. This book was released on 1995 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary introduction to the interplay between quantum mechanics, relativity, and symmetry.
Author : Michael Spivak
Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)
Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Hermann
ISBN 13 : 2705683933
Total Pages : 650 pages
Book Rating : 4.7/5 (56 download)
Download or read book Quantum Mechanics Volume 2 written by and published by Hermann. This book was released on with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Weinberg
Publisher : Cambridge University Press
ISBN 13 : 1139643258
Total Pages : 524 pages
Book Rating : 4.1/5 (396 download)
Download or read book The Quantum Theory of Fields: Volume 2, Modern Applications written by Steven Weinberg and published by Cambridge University Press. This book was released on 1996-08-13 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Many topics are included that are not usually found in books on quantum field theory. The book is peppered with examples and insights from the author's experience as a leader of elementary particle physics. Exercises are included at the end of each chapter.
