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Group Theory In Particle Nuclear And Hadron Physics

Author: Syed Afsar Abbas
Publisher: CRC Press
ISBN: 1498704670
Size: 47.42 MB
Format: PDF, Kindle
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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.

Group Theory In Subnuclear Physics

Author: Fl Stancu
Publisher: Oxford University Press on Demand
ISBN: 9780198517429
Size: 49.33 MB
Format: PDF, Docs
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This book is a useful and accessible introduction to symmetry principles in particle physics. Concepts of group theory are clearly explained and their applications to subnuclear physics brought up to date. The book begins with introductions to both the types of symmetries known in physics and to group theory and representation theory. Successive chapters deal with the symmetric groups and their Young diagrams, braid groups, Lie groups and algebras, Cartan's classification of semi-simple groups, and the Lie groups most used in physics are treated in detail. Gauge groups are discussed, and applications to elementary particle physics and multiquark systems introduced throughout the book where appropriate. Many worked examples are also included. There is a growing interest in the quark structure of hadrons and in theories of particle interactions based on the principle of gauge symmetries. Students and researchers on theoretical physics will make great strides in their work with the ideas and applications found here.

Symmetries And Group Theory In Particle Physics

Author: Giovanni Costa
Publisher: Springer Science & Business Media
ISBN: 3642154816
Size: 78.74 MB
Format: PDF, ePub, Docs
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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

Author: Stephen Haywood
Publisher: World Scientific
ISBN: 1848166591
Size: 16.15 MB
Format: PDF
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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

Lie Algebras In Particle Physics

Author: Howard Georgi
Publisher: CRC Press
ISBN: 0429967764
Size: 79.92 MB
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Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Unitary Symmetry And Elementary Particles

Author: D. B. Lichtenberg
Publisher: Academic Press
ISBN: 1483266265
Size: 71.39 MB
Format: PDF
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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.

An Introduction To Gauge Theories And Modern Particle Physics

Author: Elliot Leader
Publisher: Cambridge University Press
ISBN: 9780521468404
Size: 46.56 MB
Format: PDF
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This book is a comprehensive and unified treatment of modern theoretical and experimental particle physics aimed at beginning graduate students. The emphasis throughout is on presenting underlying physical principles in a simple and intuitive way. In 1983, researchers detected the existence of W and Z bosons and many new results have followed. This is the first graduate-level textbook to deal with the "second generation" of particle physics after 1983. 3pi]Features of this edition include: A detailed discussion of higher order electroweak effects; an expanded discussion of quark mixing; revised sections on charm and beauty and on jet physics; enlarged treatment of deep inelastic lepton-adron scattering; detailed treatment of QCD corrections to the simple parton model; and an introduction to the nonperturbative or confinement region of QCD.

Symmetry And The Standard Model

Author: Matthew Robinson
Publisher: Springer Science & Business Media
ISBN: 1441982671
Size: 23.43 MB
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While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

A Modern Introduction To Particle Physics

Author: Fayyazuddin
Publisher: World Scientific
ISBN: 9814338834
Size: 49.30 MB
Format: PDF, Kindle
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The book provides a comprehensive account of particle physics linking various aspects of particle physics in a coherent manner. This self-contained book not only cover basic concepts and recent developments but also overlaps between Astrophysics, Cosmology and Particle Physics, known as astroparticle physics. Several appendices are included to make the book self-contained.

Lie Algebras And Applications

Author: Francesco Iachello
Publisher: Springer
ISBN: 3540362398
Size: 29.14 MB
Format: PDF, ePub, Docs
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This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.