Symmetries And Group Theory In Particle Physics
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Symmetries And Group Theory In Particle Physics
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Author : Giovanni Costa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-05
Symmetries And Group Theory In Particle Physics written by Giovanni Costa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-05 with Science categories.
Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
Symmetries And Group Theory In Particle Physics
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Author : Giovanni Costa
language : en
Publisher: Springer
Release Date : 2012-02-03
Symmetries And Group Theory In Particle Physics written by Giovanni Costa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-03 with Science categories.
Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
Symmetries And Conservation Laws In Particle Physics
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Author : Stephen Haywood
language : en
Publisher: World Scientific
Release Date : 2011
Symmetries And Conservation Laws In Particle Physics written by Stephen Haywood and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
This book will explain how group theory underpins some of the key features of particle physics. It will examine symmetries and conservation laws in quantum mechanics and relate these to groups of transformations. Group theory provides the language for describing how particles (and in particular, their quantum numbers) combine. This provides understanding of hadronic physics as well as physics beyond the Standard Model. The symmetries of the Standard Model associated with the Electroweak and Strong (QCD) forces are described by the groups U(1), SU(2) and SU(3). The properties of these groups are examined and the relevance to particle physics is discussed.Stephen Haywood, author of Symmetries And Conservation Laws In Particle Physics, explains how his book can help experimental physicists and PhD students understand group theory and particle physics in our new video!View the interview at http: //www.youtube.com/watch?v=jbQk78TBLS
Group Theory In Physics A Practitioner S Guide
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Author : Traubenberg M Rausch De
language : en
Publisher: World Scientific
Release Date : 2018-09-19
Group Theory In Physics A Practitioner S Guide written by Traubenberg M Rausch De and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Science categories.
This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
Group Theory In Particle Nuclear And Hadron Physics
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Author : Syed Afsar Abbas
language : en
Publisher: CRC Press
Release Date : 2016-08-19
Group Theory In Particle Nuclear And Hadron Physics written by Syed Afsar Abbas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.
This user-friendly book on group theory introduces topics in as simple a manner as possible and then gradually develops those topics into more advanced ones, eventually building up to the current state-of-the-art. By using simple examples from physics and mathematics, the advanced topics become logical extensions of ideas already introduced. In addition to being used as a textbook, this book would also be useful as a reference guide for graduates and researchers in particle, nuclear and hadron physics.
Lectures On Group Theory And Particle Theory
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Author : Henri Bacry
language : en
Publisher: Routledge
Release Date : 1977
Lectures On Group Theory And Particle Theory written by Henri Bacry and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Unitary Symmetry And Elementary Particles
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Author : D Lichtenberg
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Unitary Symmetry And Elementary Particles written by D Lichtenberg and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Unitary Symmetry and Elementary Particles, Second Edition presents the role of symmetry in the study of the physics of the elementary particles. This book discusses the nature and scope of unitary symmetry in physics. Comprised of 12 chapters, this edition starts with an overview of the theories of electromagnetism and gravitation to describe the behavior of certain physical systems. This text then examines the two main categories of the mathematical properties of groups, namely, the properties of abstract groups and the properties of representations of groups. Other chapters consider the use of group theory, which is a significant tool in studying symmetry. This book discusses as well the states that are the basis vectors of irreducible unitary representations of Lie group. The final chapter deals with the quark model, which provides a useful way to understand many properties of hadrons in terms of simpler entities. This book is a valuable resource for physicists.
Symmetry Principles Particle Physics
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Author : W. M. Gibson
language : en
Publisher: Cambridge University Press
Release Date : 1976-03-11
Symmetry Principles Particle Physics written by W. M. Gibson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-03-11 with Science categories.
An understanding of the properties and interactions of the elementary particles is an essential prerequisite of research work in high energy physics. Much progress in the subject has been achieved with the aid of symmetry principles. In this 1980 book the concept of symmetry or invariance is employed as a unifying theme. Using a careful explanation of the mathematical formalism and with many applications to particular cases, the authors introduce the reader to the symmetry schemes which dominate the world of the particle physicist. The presentation will also appeal to mathematicians and physicists in other fields who are interested in the applications of the general principles of symmetry. After a brief survey of the particles and a review of the relevant quantum mechanics, the principal symmetries are studied in turn. Some technical points are relegated to appendices and the book contains extensive references.
Symmetry Groups In Nuclear And Particle Physics
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Author : Freeman J. Dyson
language : en
Publisher:
Release Date : 1966
Symmetry Groups In Nuclear And Particle Physics written by Freeman J. Dyson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
Unitary Symmetry And Elementary Particles
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Author : D. B. Lichtenberg
language : en
Publisher: Academic Press
Release Date : 2013-10-22
Unitary Symmetry And Elementary Particles written by D. B. Lichtenberg and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
Unitary Symmetry and Elementary Particles discusses the role of symmetry in elementary particle physics. The book reviews the theory of abstract groups and group representations including Eigenstates, cosets, conjugate classes, unitary vector spaces, unitary representations, multiplets, and conservation laws. The text also explains the concept of Young Diagrams or Young Tableaux to prove the basis functions of the unitary irreducible representations of the unitary group SU(n). The book defines Lie groups, Lie algebras, and gives some examples of these groups. The basis vectors of irreducible unitary representations of Lie groups constitute a multiplet, which according to Racah (1965) and Behrends et al. (1962) can have properties of weights. The text also explains the properties of Clebsch-Gordan coefficients and the Wigner-Eckart theorem. SU(3) multiplets have members classified as hadrons (strongly interacting particles), of which one characteristic show that the mass differences of these members have some regular properties. The Gell-Mann and Ne-eman postulate also explains another characteristic peculiar to known multiplets. The book describes the quark model, as well as, the uses of the variants of the quark model. This collection is suitable for researchers and scientists in the field of applied mathematics, nuclear physics, and quantum mechanics.