Relativity, Symmetry and the Structure of the Quantum Theory

Author:   William H. Klink ,  Sujeev Wickramasekara
Publisher:   Morgan & Claypool Publishers
ISBN:  

9781627056236


Pages:   140
Publication Date:   30 April 2014
Format:   Paperback
Availability:   Available To Order   Availability explained
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Relativity, Symmetry and the Structure of the Quantum Theory


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Overview

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 behavior of the quantum world baffling and strange. This book is the first in a series of three that argues that relativity and symmetry determine the structure of quantum theory. That is to say, the structure of quantum theory is what it is because of relativity and symmetry. There are different types of relativity, each leading to a particular type of quantum theory. This book deals specifically with what we call Newton relativity, the form of relativity built into Newtonian mechanics, and the quantum theory to which it gives rise, which we call Galilean (often misleadingly called non-relativistic) quantum theory. Key Features: Meaning and significance of the term of relativity; discussion of the principle of relativity. Relation of symmetry to relativity. Significance of the notion of representations of symmetry transformations in formulating a quantum theory. Representations of Galilean symmetry and how they lead to the most common form of quantum theory. Extension of Newtonian relativity to accelerating quantum systems and broadened quantum theory.

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Author:   William H. Klink ,  Sujeev Wickramasekara
Publisher:   Morgan & Claypool Publishers
Imprint:   Morgan and Claypool Life Sciences
Dimensions:   Width: 17.80cm , Height: 0.50cm , Length: 25.40cm
Weight:   0.333kg
ISBN:  

9781627056236


ISBN 10:   1627056238
Pages:   140
Publication Date:   30 April 2014
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Introduction Newton Relativity and One-Particle Galilean Quantum Theory Noninertial Transformations, Fictitious Forces, and the Equivalence Principle Multiparticle Systems and Interactions Internal Symmetries Conclusion Appendix A: Transitive Manifolds Appendix B: Irreducible Representations of the Galilei Group and the Origin of Mass and Spin Appendix C: Decomposition of n-fold Tensor Products and Clebsch-Gordan Coefficients

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Author Information

William Klink received his PhD from Johns Hopkins University, USA. He was professor of physics for many years at the University of Iowa, and is now professor emeritus. His main research interests have centered around the study of symmetry, both in its mathematical formulations, and in its physical consequences. Sujeev Wickramasekara received his PhD in theoretical physics from the University of Texas at Austin, USA. He held the Weiss Instructorship in Physics and Astronomy at Rice University before moving to Grinnell College where he is now associate professor of physics. His main research interests include representation theory of groups and its applications to physics, resonance scattering and decay phenomena, and rigged Hilbert spaces.

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